Lattice methods for quantum chromodynamics

Lattice Methods for Quantum Chromodynamics

Volumn , Issue , 2006, Pages 1-346

  DeGrand, Thomas ^a   DeTar, Carleton ^b  

^a UNIVERSITY OF COLORADO   (United States)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS; NUMERICAL MODELS; QUANTUM THEORY;

COMMON STRATEGY; CONTINUUM FIELDS; DISCRETIZATIONS; INTERACTING PARTICLES; LATTICE SIMULATION; PHYSICAL QUANTITIES; QUANTUM CHROMODYNAMICS; STRONG INTERACTION;

LATTICE THEORY;

EID: 84967663240     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/6065     Document Type: Book

References (236)

1. Albanese, M. et al. (1987). Glueball masses and string tension in lattice QCD, Phys. Lett. B192, p. 163.
2. Alford, M. G., Dimm, W., Lepage, G. P., Hockney, G. and Mackenzie, P. B. (1995). Lattice QCD on small computers, Phys. Lett. B361, pp. 87-94.
3. Alford, M. G., Klassen, T. R. and Lepage, G. P. (1997). Improving lattice quark actions, Nucl. Phys. B496, pp. 377-407.
4. Alford, M. G., Rajagopal, K. and Wilczek, F. (1999). Color-flavor locking and chiral symmetry breaking in high density QCD, Nucl. Phys. B537, pp. 443-458.
5. Allton, C. R. et al. (2003). The equation of state for two flavor QCD at non-zero chemical potential, Phys. Rev. D68, p. 014507.
6. Altarelli, G. and Maiani, L. (1974). Octet enhancement of nonleptonic weak interactions in asymptotically free gauge theories, Phys. Lett. B52, pp. 351-354.
7. Appelquist, T. and Pisarski, R. D. (1981). High-temperature Yang-Mills theories and three-dimensional quantum chromodynamics, Phys. Rev. D23, p. 2305.
8. Asakawa, M., Hatsuda, T. and Nakahara, Y. (2001). Maximum entropy analysis of the spectral functions in lattice QCD, Prog. Part. Nucl. Phys. 46, pp. 459-508.
9. Aubin, C. and Bernard, C. (2003). Pion and kaon masses in staggered chiral perturbation theory, Phys. Rev. D68, p. 034014.
10. Aubin, C. and Bernard, C. (2004). Staggered chiral perturbation theory, Nucl. Phys. Proc. Suppl. 129, pp. 182-184.
11. Aubin, C. et al. (2004). Light hadrons with improved staggered quarks: Approaching the continuum limit, Phys. Rev. D70, p. 094505.
12. Bailey, J. A. and Bernard, C. (2005). Staggered lattice artifacts in 3-flavor heavy baryon chiral perturbation theory, PoS LAT2005, p. 047.
13. Bailin, D. and Love, A. (1984). Superfluidity and superconductivity in relativistic fermion systems, Phys. Rept. 107, p. 325.
14. Banks, T. and Casher, A. (1980). Chiral symmetry breaking in confining theories, Nucl. Phys. B169, p. 103.
15. Barbour, I. M., Morrison, S. E., Klepfish, E. G., Kogut, J. B. and Lombardo, M.-P. (1998). Results on finite density QCD, Nucl. Phys. Proc. Suppl. 60A, pp. 220-234.
16. Basak, S. et al. (2006). Baryon operators and baryon spectroscopy, Nucl. Phys. Proc. Suppl. 153, pp. 242-249.
17. Bernard, C. (2006). Staggered chiral perturbation theory and the fourth-root trick, arXiV hep-lat/0603011.
18. Bernard, C. W. and DeGrand, T. (2000). Perturbation theory for fat-link fermion actions, Nucl. Phys. Proc. Suppl. 83, pp. 845-847.
19. Bernard, C. W., Draper, T., Soni, A., Politzer, H. D. and Wise, M. B. (1985). Application of chiral perturbation theory to K -> 2 pi decays, Phys. Rev. D32, pp. 2343-2347.
20. Bernard, C. W. and Golterman, M. F. L. (1992). Chiral perturbation theory for the quenched approximation of QCD, Phys. Rev. D46, pp. 853-857.
21. Bernard, C. W. and Golterman, M. F. L. (1994). Partially quenched gauge theories and an application to staggered fermions, Phys. Rev. D49, pp. 486-494.
22. Bernard, C. W., Soni, A. and Draper, T. (1987). Perturbative corrections to four fermion operators on the lattice, Phys. Rev. D36, p. 3224.
23. Binder, K. (1981). Finite size scaling analysis of Ising model block distribution functions, Z. Phys. B43, pp. 119-140.
24. Blatter, M., Burkhalter, R., Hasenfratz, P. and Niedermayer, F. (1996). Instantons and the fixed point topological charge in the two-dimensional 0(3) sigma model, Phys. Rev. D53, pp. 923-932.
25. Bochicchio, M., Maiani, L., Martinelli, G., Rossi, G. C. and Testa, M. (1985). Chiral symmetry on the lattice with Wilson fermions, Nucl. Phys. B262, p. 331.
26. Brodsky, S. J., Lepage, G. P. and Mackenzie, P. B. (1983). On the elimination of scale ambiguities in perturbative quantum chromodynamics, Phys. Rev. D28, p. 228.
27. Brown, F. R. and Woch, T. J. (1987). Overrelaxed heat bath and Metropolis algorithms for accelerating pure gauge Monte Carlo calculations, Phys. Rev. Lett. 58, p. 2394.
28. Buras, A. J. (1998). Weak hamiltonian, CP violation and rare decays, arXiV hep-ph/9806471.
29. Cabibbo, N. and Marinari, E. (1982). A new method for updating SU(N) matrices in computer simulations of gauge theories, Phys. Lett. B119, pp. 387-390.
30. Callaway, D. J. E. and Rahman, A. (1982). The microcanonical ensemble: A new formulation of lattice gauge theory, Phys. Rev. Lett. 49, p. 613.
31. Callaway, D. J. E. and Rahman, A. (1983). Lattice gauge theory in microcanonical ensemble, Phys. Rev. D28, p. 1506.
32. Chetyrkin, K. G. and Retey, A. (2000). Renormalization and running of quark mass and field in the regularization invariant and MS-bar schemes at three and four loops, Nucl. Phys. B583, pp. 3-34.
33. Chodos, A., Jaffe, R. L., Johnson, K., Thorn, C. B. and Weisskopf, V. F. (1974). A new extended model of hadrons, Phys. Rev. D9, pp. 3471-3495.
34. Clark, M. A. and Kennedy, A. D. (2004a). Accelerating fermionic molecular dynamics, arXiV hep-lat/0409134.
35. Clark, M. A. and Kennedy, A. D. (2004b). The RHMC algorithm for 2 flavors of dynamical staggered fermions, Nucl. Phys. Proc. Suppl. 129, pp. 850-852.
36. Condella, J. and DeTar, C. (2000). Potts flux tube model at nonzero chemical potential, Phys. Rev. D61, p. 074023.
37. Conti, L. et al. (1998). Lattice B-parameters for Delta(S) = 2 and Delta(I) = 3/2 operators, Phys. Lett. B421, pp. 273-282.
38. Creutz, M. (1979). Confinement and the critical dimensionality of space-time, Phys. Rev. Lett. 43, pp. 553-556.
39. Creutz, M. (1980). Monte Carlo study of quantized SU(2) gauge theory, Phys. Rev. D21, pp. 2308-2315.
40. Creutz, M. (1983). Quarks, gluons and lattices (Cambridge Univ. Press).
41. Creutz, M. (1987). Overrelaxation and Monte Carlo simulation, Phys. Rev. D36, p. 515.
42. Creutz, M., Jacobs, L. and Rebbi, C. (1979). Experiments with a gauge invariant Ising system, Phys. Rev. Lett. 42, p. 1390.
43. Cundy, N., Teper, M. and Wenger, U. (2002). Topology and chiral symmetry breaking in SU(N(c)) gauge theories, Phys. Rev. D66, p. 094505.
44. Damgaard, P. H. (2002). The microscopic Dirac operator spectrum, Nucl. Phys. Proc. Suppl. 106, pp. 29-37.
45. Damgaard, P. H., Diamantini, M. C, Hernandez, P. and Jansen, K. (2002). Finite-size scaling of meson propagators, Nucl. Phys. B629, pp. 445-478.
46. Damgaard, P. H., Hernandez, P., Jansen, K., Laine, M. and Lellouch, L. (2003). Finite-size scaling of vector and axial current correlators, Nucl. Phys. B656, pp. 226-238.
47. Damgaard, P. H. and Splittorff, K. (2000). Partially quenched chiral perturbation theory and the replica method, Phys. Rev. D62, p. 054509.
48. Dashen, R. F., Jenkins, E. and Manohar, A. V. (1994). The 1/N(c) expansion for baryons, Phys. Rev. D49, pp. 4713-4738.
49. Dashen, R. F. and Manohar, A. V. (1993a). 1/N(c) corrections to the baryon axial currents in QCD, Phys. Lett. B315, pp. 438-440.
50. Dashen, R. F. and Manohar, A. V. (1993b). Baryon - pion couplings from large N(c) QCD, Phys. Lett. B315, pp. 425-430.
51. de Forcrand, P. (1996). Progress on lattice QCD algorithms, Nucl. Phys. Proc. Suppl. 47, pp. 228-235.
52. de Forcrand, P. and Philipsen, O. (2002). The QCD phase diagram for small densities from imaginary chemical potential, Nucl. Phys. B642, pp. 290-306.
53. De Rujula, A., Georgi, H. and Glashow, S. L. (1975). Hadron masses in a gauge theory, Phys. Rev. D12, pp. 147-162.
54. DeGrand, T. (2003). One loop matching coefficients for a variant overlap action and some of its simpler relatives, Phys. Rev. D67, p. 014507.
55. DeGrand, T., Jaffe, R. L., Johnson, K. and Kiskis, J. E. (1975). Masses and other parameters of the light hadrons, Phys. Rev. D12, p. 2060.
56. DeGrand, T. A. and DeTar, C. E. (1983). Phase structure of QCD at high temperature with massive quarks and finite quark density: A Z(3) paradigm, Nucl. Phys. B225, p. 590.
57. DeGrand, T. A., Hasenfratz, A. and Kovacs, T. G. (1997). Topological structure in the SU(2) vacuum, Nucl. Phys. B505, pp. 417-441.
58. Delia Morte, M., Hoffmann, R., Knechtli, F., Sommer, R. and Wolff, U. (2005a). Non-perturbative renormalization of the axial current with dynamical Wilson fermions, JHEP 07, p. 007.
59. Delia Morte, M., Shindler, A. and Sommer, R. (2005b). On lattice actions for static quarks, JHEP 08, p. 051.
60. Delia Morte, M. et al. (2005c). Non-perturbative quark mass renormalization in two-flavor QCD, Nucl. Phys. B729, pp. 117-134.
61. Donoghue, J. F., Golowich, E. and Holstein, B. R. (1992). Dynamics of the Standard Model (Cambridge University).
62. Drouffe, J. M. and Itzykson, C. (1978). Lattice gauge fields, Phys. Rept. 38, pp. 133-175.
63. Duane, S. and Kogut, J. B. (1985). Hybrid stochastic differential equations applied to quantum chromodynamics, Phys. Rev. Lett. 55, p. 2774.
64. Duane, S. and Kogut, J. B. (1986). The theory of hybrid stochastic algorithms, Nucl. Phys. B275, p. 398.
65. Duncan, A., Roskies, R. and Vaidya, H. (1982). Monte Carlo study of long range chiral structure in QCD, Phys. Lett. B114, p. 439.
66. Edwards, R. G. and Heller, U. M. (2001). Domain wall fermions with exact chiral symmetry, Phys. Rev. D63, p. 094505.
67. Edwards, R. G., Joo, B., Kennedy, A. D., Orginos, K. and Wenger, U. (2005). Comparison of chiral fermion methods, PoS LAT2005, p. 146.
68. Eichten, E. et al. (1975). The spectrum of charmonium, Phys. Rev. Lett. 34, pp. 369-372.
69. Eidelman, S. et al. (2004). Review of particle physics, Phys. Lett. B592, p. 1.
70. El-Khadra, A. X., Kronfeld, A. S. and Mackenzie, P. B. (1997). Massive fermions in lattice gauge theory, Phys. Rev. D55, pp. 3933-3957.
71. Falcioni, M., Paciello, M. L., Parisi, G. and Taglienti, B. (1985). Again on SU(3) glueball mass, Nucl. Phys. B251, pp. 624-632.
72. Ferrenberg, A. M. and Swendsen, R. H. (1988). New Monte Carlo technique for studying phase transitions, Phys. Rev. Lett. 61, pp. 2635-2638.
73. Fodor, Z. and Katz, S. D. (2002). A new method to study lattice QCD at finite temperature and chemical potential, Phys. Lett. B534, pp. 87-92.
74. Fodor, Z., Katz, S. D. and Szabo, K. K. (2004). Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm, JHEP 08, p. 003.
75. Franco, E. and Lubicz, V. (1998). Quark mass renormalization in the MS-bar and RI schemes up to the NNLO order, Nucl. Phys. B531, pp. 641-651.
76. Frezzotti, R., Grassi, P. A., Sint, S. and Weisz, P. (2000). A local formulation of lattice QCD without unphysical fermion zero modes, Nucl. Phys. Proc. Suppl. 83, pp. 941-946.
77. Frezzotti, R., Grassi, P. A., Sint, S. and Weisz, P. (2001). Lattice QCD with a chirally twisted mass term, JHEP 08, p. 058.
78. Frezzotti, R. and Rossi, G. C. (2004). Chirally improving Wilson fermions. ii: Four-quark operators, JHEP 10, p. 070.
79. Frommer, A., Hannemann, V., Nockel, B., Lippert, T. and Schilling, K. (1994). Accelerating Wilson fermion matrix inversions by means of the stabilized biconjugate gradient algorithm, Int. J. Mod. Phys. C5, pp. 1073-1088.
80. Frommer, A., Nockel, B., Gusken, S., Lippert, T. and Schilling, K. (1995). Many masses on one stroke: Economic computation of quark propagators, Int. J. Mod. Phys. C6, pp. 627-638.
81. Furman, V. and Shamir, Y. (1995). Axial symmetries in lattice QCD with Kaplan fermions, Nucl. Phys. B439, pp. 54-78.
82. Gaillard, M. K. and Lee, B. W. (1974a). Delta I = 1/2 rule for nonleptonic decays in asymptotically free field theories, Phys. Rev. Lett. 33, p. 108.
83. Gaillard, M. K. and Lee, B. W. (1974b). Rare decay modes of the K - mesons in gauge theories, Phys. Rev. D10, p. 897.
84. Gasser, J. and Leutwyler, H. (1985). Chiral perturbation theory: Expansions in the mass of the strange quark, Nucl. Phys. B250, p. 465.
85. Gasser, J. and Leutwyler, H. (1987a). Light quarks at low temperatures, Phys. Lett. B184, p. 83.
86. Gasser, J. and Leutwyler, H. (1987b). Thermodynamics of chiral symmetry, Phys. Lett. B188, p. 477.
87. Gattringer, C. R. and Lang, C. B. (1993). Resonance scattering phase shifts in a 2-d lattice model, Nucl. Phys. B391, pp. 463-482.
88. Gell-Mann, M. and Levy, M. (1960). The axial vector current in beta decay, Nuovo Cim. 16, p. 705.
89. Gell-Mann, M., Oakes, R. J. and Renner, B. (1968). Behavior of current divergences under SU(3) x SU(3), Phys. Rev. 175, pp. 2195-2199.
90. Ginsparg, P. H. (1980). First order and second order phase transitions in gauge theories at finite temperature, Nucl. Phys. B170, p. 388.
91. Ginsparg, P. H. and Wilson, K. G. (1982). A remnant of chiral symmetry on the lattice, Phys. Rev. D25, p. 2649.
92. Giusti, L., Hernandez, P., Laine, M., Weisz, P. and Wittig, H. (2004). Low-energy couplings of QCD from current correlators near the chiral limit, JHEP 04, p. 013.
93. Gliozzi, F. (1982). Spinor algebra of the one component lattice fermions, Nucl. Phys. B204, pp. 419-428.
94. Gockeler, M. et al. (1999). Nonperturbative renormalisation of composite operators in lattice QCD, Nucl. Phys. B544, pp. 699-733.
95. Golterman, M. and Shamir, Y. (2003). Localization in lattice QCD, Phys. Rev. D68, p. 074501.
96. Golterman, M. F. L. and Smit, J. (1984). Selfenergy and flavor interpretation of staggered fermions, Nucl. Phys. B245, p. 61.
97. Golterman, M. F. L. and Smit, J. (1985). Lattice baryons with staggered fermions, Nucl. Phys. B255, p. 328.
98. Golub, G. H. and Van Loan, C. F. (1996). Matrix Computations, 3rd ed. (Johns Hopkins Univ. Press).
99. Gottlieb, S. A., Liu, W., Toussaint, D., Renken, R. L. and Sugar, R. L. (1987). Hybrid molecular dynamics algorithms for the numerical simulation of quantum chromodynamics, Phys. Rev. D35, pp. 2531-2542.
100. Gregory, E. B., Irving, A. C, McNeile, C. C, Miller, S. and Sroczynski, Z. (2005). Scalar glueball and meson spectroscopy in unquenched lattice QCD with improved staggered quarks, PoS LAT2005, p. 027.
101. Gribov, V. N. (1978). Quantization of non-abelian gauge theories, Nucl. Phys. B139, p. 1.
102. Gupta, R., Guralnik, G., Kilcup, G. W. and Sharpe, S. R. (1991). The quenched spectrum with staggered fermions, Phys. Rev. D43, pp. 2003-2026.
103. Halasz, M. A., Jackson, A. D., Shrock, R. E., Stephanov, M. A. and Verbaarschot, J. J. M. (1998). On the phase diagram of QCD, Phys. Rev. D58, p. 096007.
104. Hamber, H. and Parisi, G. (1981). Numerical estimates of hadronic masses in a pure SU(3) gauge theory, Phys. Rev. Lett. 47, p. 1792.
105. Hansen, F. C. (1990). Finite size effects in spontaneously broken SU(N) x su(N) theories, Nucl. Phys. B345, pp. 685-708.
106. Hansen, F. C. and Leutwyler, H. (1991). Charge correlations and topological susceptibility in QCD, Nucl. Phys. B350, pp. 201-227.
107. Harman, H. H. (1960). Modern Factor Analysis (University of Chicago Press), pp. 11-19.
108. Hart, A., von Hippel, G. M., Horgan, R. R. and Storoni, L. C. (2005). Automatically generating Feynman rules for improved lattice field theories, J. Comput. Phys. 209, pp. 340-353.
109. Hasenbusch, M. (2001). Speeding up the hybrid-Monte-Carlo algorithm for dynamical fermions, Phys. Lett. B519, pp. 177-182.
110. Hasenbusch, M. and Jansen, K. (2003). Speeding up lattice QCD simulations with clover-improved Wilson fermions, Nucl. Phys. B659, pp. 299-320.
111. Hasenfratz, A. and Alexandru, A. (2002). Evaluating the fermionic determinant of dynamical configurations, Phys. Rev. D65, p. 114506.
112. Hasenfratz, A., Hasenfratz, P. and Niedermayer, F. (2005). Simulating full QCD with the fixed point action, arXiV hep-lat/0506024.
113. Hasenfratz, A. and Knechtli, F. (2001). Flavor symmetry and the static potential with hypercubic blocking, Phys. Rev. D64, p. 034504.
114. Hasenfratz, A. and Knechtli, F. (2002). Simulation of dynamical fermions with smeared links, Comput. Phys. Commun. 148, pp. 81-86.
115. Hasenfratz, A. et al. (1991). Goldstone bosons and finite size effects: A numerical study of the 0(4) model, Nucl. Phys. B356, pp. 332-366.
116. Hasenfratz, P., Laliena, V. and Niedermayer, F. (1998). The index theorem in QCD with a finite cut-off, Phys. Lett. B427, pp. 125-131.
117. Hasenfratz, P. and Niedermayer, F. (1994). Perfect lattice action for asymptotically free theories, Nucl. Phys. B414, pp. 785-814.
118. Hasenfratz, P. and Niedermayer, F. (1997). Fixed-point actions in 1-loop perturbation theory, Nucl. Phys. B507, pp. 399-415.
119. Heatlie, G., Martinelli, G., Pittori, C, Rossi, G. C. and Sachrajda, C. T. (1991). The improvement of hadronic matrix elements in lattice QCD, Nucl. Phys. B352, pp. 266-288.
120. Hernandez, P., Jansen, K. and Lüscher, M. (1999). Locality properties of Neuberger’s lattice Dirac operator, Nucl. Phys. B552, pp. 363-378.
121. Hornbostel, K., Lepage, G. P. and Morningstar, C. (2003). Scale setting for alpha(s) beyond leading order, Phys. Rev. D67, p. 034023.
122. Isgur, N. and Karl, G. (1978). P wave baryons in the quark model, Phys. Rev. D18, p. 4187.
123. Isgur, N. and Karl, G. (1979). Positive parity excited baryons in a quark model with hyperfine interactions, Phys. Rev. D19, p. 2653.
124. Isgur, N. and Wise, M. B. (1989). Weak decays of heavy mesons in the static quark approximation, Phys. Lett. B232, p. 113.
125. Isgur, N. and Wise, M. B. (1990). Weak transition form-factors between heavy mesons, Phys. Lett. B237, p. 527.
126. Iwasaki, Y. (1983). Renormalization group analysis of lattice theories and improved lattice action. 2. four-dimensional nonabelian SU(N) gauge model, UTHEP-118.
127. Jarrell, M. and Gubernatis, J. (1996). Phys. Rep. 269, p. 135.
128. Jegerlehner, B. (1996). Krylov space solvers for shifted linear systems, arXiV hep-lat/9612014.
129. Jegerlehner, B. (1998). Multiple mass solvers, Nucl. Phys. Proc. Suppl. 63, pp. 958-960.
130. Kajantie, K., Laine, M., Rummukainen, K. and Schroder, Y. (2003). The pressure of hot QCD up to g**6 ln(l/g), Phys. Rev. D67, p. 105008.
131. Kajantie, K., Laine, M., Rummukainen, K. and Shaposhnikov, M. E. (1996). The electroweak phase transition: A non-perturbative analysis, Nucl. Phys. B466, pp. 189-258.
132. Kalkreuter, T. and Simma, H. (1996). An accelerated conjugate gradient algorithm to compute low lying eigenvalues: A study for the Dirac operator in SU(2) lattice QCD, Comput. Phys. Commun. 93, pp. 33-47.
133. Kamleh, W., Adams, D. H., Leinweber, D. B. and Williams, A. G. (2002). Accelerated overlap fermions, Phys. Rev. D66, p. 014501.
134. Kaplan, D. B. (1992). A method for simulating chiral fermions on the lattice, Phys. Lett. B288, pp. 342-347.
135. Kaplan, D. B. and Schmaltz, M. (1996). Domain wall fermions and the eta invariant, Phys. Lett. B368, pp. 44-52.
136. Karsch, F., Laermann, E., Petreczky, P., Stickan, S. and Wetzorke, I. (2002). A lattice calculation of thermal dilepton rates, Phys. Lett. B530, pp. 147-152.
137. Karsch, F. and Mutter, K. H. (1989). Strong coupling QCD at finite baryon number density, Nucl. Phys. B313, p. 541.
138. Karsten, L. H. and Smit, J. (1981). Lattice fermions: Species doubling, chiral invariance, and the triangle anomaly, Nucl. Phys. B183, p. 103.
139. Kennedy, A. D. and Pendleton, B. J. (1985). Improved heat bath method for Monte Carlo calculations in lattice gauge theories, Phys. Lett. B156, pp. 393-399.
140. Kilcup, G. W. and Sharpe, S. R. (1987). A tool kit for staggered fermions, Nucl. Phys. B283, p. 493.
141. Kluberg-Stern, H., Morel, A., Napoly, O. and Petersson, B. (1983). Flavors of Lagrangian Susskind fermions, Nucl. Phys. B220, p. 447.
142. Kokkedee, J. (1969). The Quark Model (Benjamin).
143. Koller, J. and van Baal, P. (1986). A rigorous nonperturbative result for the glueball mass and electric flux energy in a finite volume, Nucl. Phys. B273, p. 387.
144. Lee, W.-J. and Sharpe, S. R. (1999). Partial flavor symmetry restoration for chiral staggered fermions, Phys. Rev. D60, p. 114503.
145. Lee, W.-J. and Sharpe, S. R. (2002). One-loop matching coefficients for improved staggered bilinears, Phys. Rev. D66, p. 114501.
146. Lee, W.-J. and Sharpe, S. R. (2003). Perturbative matching of staggered fourfermion operators with hypercubic fat links, Phys. Rev. D68, p. 054510.
147. Leinweber, D. B., Melnitchouk, W., Richards, D. G., Williams, A. G. and Zanotti, J. M. (2005). Baryon spectroscopy in lattice QCD, Lect. Notes Phys. 663, pp. 71-112.
148. Lellouch, L. and Lüscher, M. (2001). Weak transition matrix elements from finitevolume correlation functions, Commun. Math. Phys. 219, pp. 31-44.
149. Lepage, G. P. (1980). Vegas: An adaptive multidimensional integration program, CLNS-80/447.
150. Lepage, G. P. (1999). Flavor-symmetry restoration and Symanzik improvement for staggered quarks, Phys. Rev. D59, p. 074502.
151. Lepage, G. P. and Mackenzie, P. B. (1993). On the viability of lattice perturbation theory, Phys. Rev. D48, pp. 2250-2264.
152. Lepage, G. P., Magnea, L., Nakhleh, C., Magnea, U. and Hornbostel, K. (1992). Improved nonrelativistic QCD for heavy quark physics, Phys. Rev. D46, pp. 4052-4067.
153. Lepage, G. P. et al. (2002). Constrained curve fitting, Nucl. Phys. Proc. Suppl. 106, pp. 12-20.
154. Leutwyler, H. and Smilga, A. (1992). Spectrum of Dirac operator and role of winding number in QCD, Phys. Rev. D46, pp. 5607-5632.
155. Lüscher, M. (1986a). Volume dependence of the energy spectrum in massive quantum field theories. 1. stable particle states, Commun. Math. Phys. 104, p. 177.
156. Lüscher, M. (1986b). Volume dependence of the energy spectrum in massive quantum field theories. 2. scattering states, Commun. Math. Phys. 105, pp. 153-188.
157. Lüscher, M. (1991). Two particle states on a torus and their relation to the scattering matrix, Nucl. Phys. B354, pp. 531-578.
158. Lüscher, M. (1994). A new approach to the problem of dynamical quarks in numerical simulations of lattice QCD, Nucl. Phys. B418, pp. 637-648.
159. Lüscher, M. (2000). Chiral gauge theories revisited, arXiV hep-th/0102028.
160. Lüscher, M. (2003). Lattice QCD and the Schwaxz alternating procedure, JHEP 05, p. 052.
161. Lüscher, M. (2004). Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD, arXiV hep-lat/0409106.
162. Lüscher, M., Narayanan, R., Weisz, P. and Wolff, U. (1992). The Schrodinger functional: A renormalizable probe for nonabelian gauge theories, Nucl. Phys. B384, pp. 168-228.
163. Lüscher, M., Sint, S., Sommer, R., Weisz, P. and Wolff, U. (1997a). Nonperturbative O(a) improvement of lattice QCD, Nucl. Phys. B491, pp. 323-343.
164. Lüscher, M., Sint, S., Sommer, R. and Wittig, H. (1997b). Non-perturbative determination of the axial current normalization constant in 0(a) improved lattice QCD, Nucl. Phys. B491, pp. 344-364.
165. Lüscher, M., Sommer, R., Weisz, P. and Wolff, U. (1994). A precise determination of the running coupling in the SU(3) Yang-Mills theory, Nucl. Phys. B413, pp. 481-502.
166. Lüscher, M., Sommer, R., Wolff, U. and Weisz, P. (1993). Computation of the running coupling in the SU(2) Yang-Mills theory, Nucl. Phys. B389, pp. 247-264.
167. Lüscher, M. and Weisz, P. (1985a). Computation of the action for on-shell improved lattice gauge theories at weak coupling, Phys. Lett. B158, p. 250.
168. Lüscher, M. and Weisz, P. (1985b). On-shell improved lattice gauge theories, Commun. Math. Phys. 97, p. 59.
169. Lüscher, M. and Weisz, P. (1996). 0(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory, Nucl. Phys. B479, pp. 429-458.
170. Lüscher, M., Weisz, P. and Wolff, U. (1991). A numerical method to compute the running coupling in asymptotically free theories, Nucl. Phys. B359, pp. 221-243.
171. Ma, S.-K. (1976). Modern Theory of Critical Phenomena (Benjamin).
172. Maiani, L. and Testa, M. (1990). Final state interactions from Euclidean correlation functions, Phys. Lett. B245, pp. 585-590.
173. Manohar, A. V. and Wise, M. B. (2000). Heavy quark physics, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 10, pp. 1-191.
174. Marinari, E., Parisi, G. and Rebbi, C. (1981). Computer estimates of meson masses in SU(2) lattice gauge theory, Phys. Rev. Lett. 47, p. 1795.
175. Martinelli, G., Pittori, C, Sachrajda, C. T., Testa, M. and Vladikas, A. (1995). A general method for nonperturbative renormalization of lattice operators, Nucl. Phys. B445, pp. 81-108.
176. Maschhof, K. and Sorensen, D. (1996). A portable implementation of ARPACK for distributed memory parallel architectures, in Copper Mountain Conference on Iterative Methods, http://www.caam.rice.edu/"kristyn/parpack.home.html.
177. Matsui, T. and Satz, H. (1986). J /psi suppression by quark - gluon plasma formation, Phys. Lett. B178, p. 416.
178. Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H. and Teller, E. (1953). Equation of state calculations by fast computing machines, J. Chem. Phys. 21, pp. 1087-1092.
179. Michael, C. and Teper, M. (1989). The glueball spectrum in SU(3), Nucl. Phys. B314, p. 347.
180. Montvay, I. and Muenster, G. (1994). Quantum fields on a lattice (Cambridge Univ. Press).
181. Morel, A. (1987). Chiral logarithms in quenched QCD, J. Phys. (Prance) 48, pp. 1111-1119.
182. Morningstar, C. and Peardon, M. J. (2004). Analytic smearing of SU(3) link variables in lattice QCD, Phys. Rev. D69, p. 054501.
183. Morningstar, C. J. and Peardon, M. J. (1999). The glueball spectrum from an anisotropic lattice study, Phys. Rev. D60, p. 034509.
184. Nakamura, A. and Sakai, S. (2005). Transport coefficients of gluon plasma, Phys. Rev. Lett. 94, p. 072305.
185. Narayanan, R. and Neuberger, H. (2000). An alternative to domain wall fermions, Phys. Rev. D62, p. 074504.
186. Neuberger, H. (1998a). Exactly massless quarks on the lattice, Phys. Lett. B417, pp. 141-144.
187. Neuberger, H. (1998b). A practical implementation of the overlap-Dirac operator, Phys. Rev. Lett. 81, pp. 4060-4062.
188. Nielsen, H. B. and Ninomiya, M. (1981a). Absence of neutrinos on a lattice. 1. proof by homotopy theory, Nucl. Phys. B185, p. 20.
189. Nielsen, H. B. and Ninomiya, M. (1981b). Absence of neutrinos on a lattice. 2. intuitive topological proof, Nucl. Phys. B193, p. 173.
190. Nielsen, H. B. and Ninomiya, M. (1981c). No go theorem for regularizing chiral fermions, Phys. Lett. B105, p. 219.
191. Nobes, M. A. and Trottier, H. D. (2004). Progress in automated perturbation theory for heavy quark physics, Nucl. Phys. Proc. Suppl. 129, pp. 355-357.
192. Orginos, K., Toussaint, D. and Sugar, R. L. (1999). Variants of fattening and flavor symmetry restoration, Phys. Rev. D60, p. 054503.
193. Patel, A. and Sharpe, S. R. (1993). Perturbative corrections for staggered fermion bilinears, Nucl. Phys. B395, pp. 701-732.
194. Peskin, M. and Schroeder, D. (1995). An introduction to quantum field theory (Addison-Wesley).
195. Phillips, A. and Stone, D. (1986). Lattice gauge fields, principal bundles and the calculation of topological charge, Commun. Math. Phys. 103, pp. 599-636.
196. Pisarski, R. D. and Wilczek, F. (1984). Remarks on the chiral phase transition in chromodynamics, Phys. Rev. D29, pp. 338-341.
197. Polchinski, J. (1992). Effective field theory and the Fermi surface, arXiV hepth/9210046.
198. Polyakov, A. M. (1975). Compact gauge fields and the infrared catastrophe, Phys. Lett. B59, pp. 82-84.
199. Prelovsek, S. (2006). Effects of staggered fermions and mixed actions on the scalar correlator, Phys. Rev. D73, p. 014506.
200. Press, W. H., Teukolsky, S. A. and William T. Vetterling, B. P. F. (2002). Numerical Recipes in C+ +: The Art of Scientific Computing, 2nd ed. (Cambridge Univ. Press).
201. Ramond, P. (1981). Field Theory: a Modern Primer (Benjamin).
202. Regge, T. (1959). Introduction to complex orbital momenta, Nuovo Cim. 14, p. 951.
203. Rummukainen, K. and Gottlieb, S. A. (1995). Resonance scattering phase shifts on a nonrest frame lattice, Nucl. Phys. B450, pp. 397-436.
204. Schafer, T. and Shuryak, E. V. (1998). Instantons in QCD, Rev. Mod. Phys. 70, pp. 323-426.
205. Scherer, S. (2002). Introduction to chiral perturbation theory, arXiV hepph/0210398.
206. Sexton, J. C. and Weingarten, D. H. (1992). Hamiltonian evolution for the hybrid Monte Carlo algorithm, Nucl. Phys. B380, pp. 665-678.
207. Shamir, Y. (1993). Chiral fermions from lattice boundaries, Nucl. Phys. B406, pp. 90-106.
208. Sharpe, S. R. (1992). Quenched chiral logarithms, Phys. Rev. D46, pp. 3146-3168.
209. Sharpe, S. R., Patel, A., Gupta, R., Guralnik, G. and Kilcup, G. W. (1987). Weak interaction matrix elements with staggered fermions. 1. theory and a trial run, Nucl. Phys. B286, p. 253.
210. Sheikholeslami, B. and Wohlert, R. (1985). Improved continuum limit lattice action for QCD with Wilson fermions, Nucl. Phys. B259, p. 572.
211. Shifman, M. A., Vainshtein, A. I. and Zakharov, V. I. (1979a). QCD and resonance physics: Applications, Nucl. Phys. B147, pp. 448-518.
212. Shifman, M. A., Vainshtein, A. I. and Zakharov, V. I. (1979b). QCD and resonance physics, sum rules, Nucl. Phys. B147, pp. 385-447.
213. Shuryak, E. V. and Verbaarschot, J. J. M. (1993). Random matrix theory and spectral sum rules for the Dirac operator in QCD, Nucl. Phys. A560, pp. 306-320.
214. Skyrme, T. H. R. (1961). A nonlinear field theory, Proc. Roy. Soc. Lond. A260, pp. 127-138.
215. Sommer, R. (1994). A new way to set the energy scale in lattice gauge theories and its applications to the static force and alpha-s in SU(2) Yang-Mills theory, Nucl. Phys. B411, pp. 839-854.
216. Susskind, L. (1977). Lattice fermions, Phys. Rev. D16, pp. 3031-3039.
217. Symanzik, K. (1980). Recent Developments in Gauge Theories, vol. 16 (Plenum), p. 313.
218. Symanzik, K. (1983a). Continuum limit and improved action in lattice theories. 1. principles and phi**4 theory, Nucl. Phys. B226, p. 187.
219. Symanzik, K. (1983b). Continuum limit and improved action in lattice theories. 2. O(N) nonlinear sigma model in perturbation theory, Nucl. Phys. B226, p. 205.
220. ‘t Hooft, G. (1974). A two-dimensional model for mesons, Nucl. Phys. B75, p. 461.
221. ‘t Hooft, G. (1976). Computation of the quantum effects due to a four- dimensional pseudoparticle, Phys. Rev. D14, pp. 3432-3450.
222. Takaishi, T. (1996). Heavy quark potential and effective actions on blocked configurations, Phys. Rev. D54, pp. 1050-1053.
223. Toussaint, D. (1990). Simulating QCD at finite density, Nucl. Phys. Proc. Suppl. 17, pp. 248-251.
224. van der Vorst, H. (1992). BiCGStab: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM J. Sc. Stat.Comp. 13, p. 631.
225. Veneziano, G. (1979). U(l) without instantons, Nucl. Phys. B159, pp. 213-224.
226. Verbaarschot, J. J. M. (1994). The spectrum of the QCD Dirac operator and chiral random matrix theory: The threefold way, Phys. Rev. Lett. 72, pp. 2531-2533.
227. Wegner, A. M. (1971). Duality in generalized Ising models and phase transitions without local order parameters, J. Math. Phys. 12, pp. 2259-2272.
228. Weingarten, D. H. and Petcher, D. N. (1981). Monte Carlo integration for lattice gauge theories with fermions, Phys. Lett. B99, p. 333.
229. Weisz, P. (1983). Continuum limit improved lattice action for pure Yang-Mills theory. 1, Nucl. Phys. B212, p. 1.
230. Wilson, K. G. (1974). Confinement of quarks, Phys. Rev. D10, pp. 2445-2459.
231. Wilson, K. G. and Kogut, J. B. (1974). The renormalization group and the epsilon expansion, Phys. Rept. 12, pp. 75-200.
232. Witten, E. (1979a). Baryons in the 1/N expansion, Nucl. Phys. B160, p. 57.
233. Witten, E. (1979b). Current algebra theorems for the U(l) ‘Goldstone boson’, Nucl. Phys. B156, p. 269.
234. Witten, E. (1983). Current algebra, baryons, and quark confinement, Nucl. Phys. B223, pp. 433-444.
235. Wohlert, R. (1987). Improved continuum limit lattice action for quarks, DESY 87/069.
236. Yaffe, L. G. and Svetitsky, B. (1982). First order phase transition in the SU(3) gauge theory at finite temperature, Phys. Rev. D26, p. 963.