Low-lying Dirac eigenmodes and monopoles in 4D compact QED

Journal of High Energy Physics

Volumn 2007, Issue 11, 2007, Pages

  Takahashi, Toru T ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Lattice gauge field theories; Lattice QCD; Solitons monopoles and instantons; Spontaneous symmetry breaking

Indexed keywords

EID: 36849088662     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/11/047     Document Type: Article

References (46)

1. A. De Rujula, H. Georgi and S.L. Glashow, Hadron masses in a gauge theory 1975 Phys. Rev. D 12 147
2. Y. Nambu and G. Jona-Lasinio, Dynamical model of elementary particles based on an analogy with superconductivity. I 1961 Phys. Rev. 122 345
3. Y. Nambu and G. Jona-Lasinio, Dynamical model of elementary particles based on an analogy with superconductivity. II 1961 Phys. Rev. 124 246
4. T. Banks and A. Casher, Chiral symmetry breaking in confining theories 1980 Nucl. Phys. B 169 103
5. T.A. DeGrand and D. Toussaint, Topological excitations and Monte Carlo simulation of abelian gauge theory 1980 Phys. Rev. D 22 2478
6. J.S. Barber, R.E. Shrock and R. Schrader, A study of D = 4 U(1) lattice gauge theory with monopoles removed, 1985 Phys. Lett. B 152 221
7. V. Grosch et al., Monopoles and Dirac sheets in compact U(1) lattice gauge theory, 1985 Phys. Lett. B 162 171
8. J.S. Barber and R.E. Shrock, Dynamical shifting of the critical point in four-dimensional U(1) lattice gauge theory, 1985 Nucl. Phys. B 257 515
9. J.B. Kogut and E. Dagotto, First order phase transition in compact lattice QED with light fermions 1987 Phys. Rev. Lett. 59 617
10. V. Azcoiti, Confinement and vacuum structure in compact QED on the lattice 1987 Phys. Lett. B 194 438
11. E. Dagotto and J.B. Kogut, Study of compact QED with light fermions 1988 Nucl. Phys. B 295 123
12. V. Azcoiti, G. di Carlo and A.F. Grillo, Towards a precise determination of the order of the phase transition in compact pure gauge QED 1990 Phys. Lett. B 238 355
13. M. Salmhofer and E. Seiler, Proof of chiral symmetry breaking in strongly coupled lattice gauge theory 1991 Comm. Math. Phys. 139 395 [Erratum 1992 Phys. Rev. 146 637]
14. S. Hashimoto, M. Kikugawa and T. Muta, Second order phase transition in compact lattice QED with a large fermionic charge 1991 Phys. Lett. B 254 449
15. H. Gausterer and C.B. Lang, Breaking of chiral symmetry in compact QED in the strong coupling limit 1991 Phys. Lett. B 263 476
16. V. Azcoiti, G. Di Carlo and A.F. Grillo, Approaching a first order phase transition in compact pure gauge QED 1991 Phys. Lett. B 268 101
17. V. Azcoiti et al., Lee-Yang zeros and the chiral phase transition in compact lattice QED 1995 Phys. Rev. D 51 5199
18. M. Baig, H. Fort and J.B. Kogut, Monopole percolation in pure gauge compact QED 1994 Phys. Rev. D 50 5920 [hep-lat/9406004]
19. H. Shiba and T. Suzuki, Monopole action from vacuum configurations in compact QED 1995 Phys. Lett. B 343 315 [hep-lat/9406010]
20. T. Bielefeld, S. Hands, J.D. Stack and R.J. Wensley, Magnetic monopoles as agents of chiral symmetry breaking in U(1) lattice gauge theory, 1998 Phys. Lett. B 416 150 [hep-lat/9709047]
21. J. Cox, W. Franzki, J. Jersak, C.B. Lang and T. Neuhaus, Strongly coupled compact lattice QED with staggered fermions 1998 Nucl. Phys. B 532 315 [hep-lat/9705043]
22. B.A. Berg, H. Markum and R. Pullirsch, Quantum chaos in compact lattice QED 1999 Phys. Rev. D 59 097504 [hep-lat/9812010]
23. B.A. Berg, U.M. Heller, H. Markum, R. Pullirsch and W. Sakuler, Exact zero-modes of the compact QED Dirac operator 2001 Phys. Lett. B 514 97 [hep-lat/0103022]
24. G. Arnold, B. Bunk, T. Lippert and K. Schilling, Compact QED under scrutiny: it's first order 2003 Nucl. Phys. (Proc. Suppl.) 119 864 [hep-lat/0210010]
25. T. Drescher and C.B. Lang, Dirac zero-modes in compact U(1) gauge theory, 2005 J. High Energy Phys. JHEP02(2005)058 [hep-lat/0411012]
26. M. Vettorazzo and P. de Forcrand, Finite temperature phase transition in the 4D compact U(1) lattice gauge theory, 2004 Phys. Lett. B 604 82 [hep-lat/0409135]
27. M. Panero, A numerical study of confinement in compact QED 2005 J. High Energy Phys. JHEP05(2005)066 [hep-lat/0503024]
28. A. Hart and M. Teper, Monopole clusters in abelian projected gauge theories 1998 Phys. Rev. D 58 014504 [hep-lat/9712003]
29. H. Neuberger, Exactly massless quarks on the lattice 1998 Phys. Lett. B 417 141 [hep-lat/9707022]
30. H. Neuberger, More about exactly massless quarks on the lattice 1998 Phys. Lett. B 427 353 [hep-lat/9801031]
31. M. Lüscher, Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation 1998 Phys. Lett. B 428 342 [hep-lat/9802011]
32. P.H. Ginsparg and K.G. Wilson, A remnant of chiral symmetry on the lattice 1982 Phys. Rev. D 25 2649
33. L. Giusti, C. Hölbling, M. Lüscher and H. Wittig, Numerical techniques for lattice QCD in the epsilon- regime 2003 Comput. Phys. Commun. 153 31 [hep-lat/0212012]
34. R.B. Morgan and M. Zeng, A harmonic restarted Arnoldi algorithm for calculating eigenvalues and determining multiplicity 2006 Linear Alg. Appl. 415 96
35. F. Farchioni, Leutwyler-Smilga sum rules for Ginsparg-Wilson lattice fermions [hep-lat/9902029]
36. H. Reinhardt, O. Schroeder, T. Tok and V.C. Zhukovsky, Quark zero modes in intersecting center vortex gauge fields 2002 Phys. Rev. D 66 085004 [hep-th/0203012]
37. M.V. Berry and M. Tabor, Calculating the bound spectrum by path summation in action angle variables 1977 J. Phys. A: Math. Gen. 10 371
38. O. Bohigas, M.J. Giannoni and C. Schmit, Characterization of chaotic quantum spectra and universality of level fluctuation laws 1984 Phys. Rev. Lett. 52 1
39. T.S. Biro, C. Gong, B. Müller and A. Trayanov, Hamiltonian dynamics of Yang-Mills fields on a lattice 1994 Int. J. Mod. Phys. C 5 113 [nucl-th/9306002]
40. T.S. Biro, M. Feurstein and H. Markum, Chaotic behavior of confining lattice gauge field configurations 1998 Heavy Ion Phys. 7 235 [hep-lat/9711002]
41. L. Salasnich, Quantum chaos in a Yang-Mills-higgs system 1997 Mod. Phys. Lett. A 12 1473 [quant-ph/9706025]
42. C. Mukku, M.S. Sriram, J. Segar, B.A. Bambah and S. Lakshmibala, Order-chaos transitions in field theories with topological terms: a dynamical systems approach 1997 J. Phys. A: Math. Gen. 30 3003 [hep-th/9610071]
43. R. Pullirsch, K. Rabitsch, T. Wettig and H. Markum, Evidence for quantum chaos in the plasma phase of QCD, 1998 Phys. Lett. B 427 119 [hep-ph/9803285]
44. H. Markum, W. Plessas, R. Pullirsch, B. Sengl and R.F. Wagenbrunn, Quantum chaos in QCD and hadrons [hep-lat/0505011]
45. P.W. Anderson, Absence of diffusion in certain random lattices 1958 Phys. Rev. 109 1492
46. A.M. Garcia-Garcia and J.C. Osborn, Chiral phase transition in lattice QCD as a metal - insulator transition 2007 Phys. Rev. D 75 034503 [hep-lat/0611019]