θ Dependence of the spectrum of SU(N) gauge theories

Journal of High Energy Physics

Volumn 2006, Issue 6, 2006, Pages

  Del Debbio, Luigi ^a   Manca, Gian Mario ^b   Panagopoulos, Haralambos ^c   Skouroupathis, Apostolos ^c   Vicari, Ettore ^d  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b UNIVERSITY OF PARMA   (Italy)

^c UNIVERSITY OF CYPRUS   (Cyprus)

^d UNIVERSITY OF PISA   (Italy)

Author keywords

1 N Expansion; Lattice Gauge Field Theories

Indexed keywords

EID: 33745741147     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/06/005     Document Type: Article

References (39)

1. G. 't Hooft, A planar diagram theory for strong interactions 1974 Nucl. Phys. B 72 461
2. E. Witten, Current algebra theorems for the U(1) 'Goldstone boson', 1979 Nucl. Phys. B 156 269
3. G. Veneziano, U(1) without instantons, 1979 Nucl. Phys. B 159 213
4. E. Witten, Large-N chiral dynamics 1980 Ann. Phys. (NY) 128 363
5. E. Witten, Theta dependence in the large-N limit of four-dimensional gauge theories 1998 Phys. Rev. Lett. 81 2862 [hep-th/9807109]
6. G. Gabadadze, On field/string theory approach to theta dependence in large-N Yang-Mills theory 1999 Nucl. Phys. B 552 194 [hep-th/9902191]
7. L. Del Debbio, H. Panagopoulos and E. Vicari, θ dependence of SU(N) gauge theories, 2002 J. High Energy Phys. JHEP08(2002)044 [hep-th/0204125]
8. B. Lucini and M. Teper, SU(N) gauge theories in four dimensions: exploiting the approach to N ≤, 2001 J. High Energy Phys. JHEP06(2001)050 [hep-th/0103027]
9. M. D'Elia, Field theoretical approach to the study of theta dependence in Yang-Mills theories on the lattice 2003 Nucl. Phys. B 661 139 [hep-lat/0302007]
10. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity 2000 Phys. Rep. 323 183 [hep-th/9904017]
11. G. Gabadadze and A. Iglesias, On θ dependence of glueballs from AdS/CFT 2005 Phys. Lett. B 609 167 [hep-th/0411278]
12. N. Cabibbo and E. Marinari, A new method for updating SU(N) matrices in computer simulations of gauge theories, 1982 Phys. Lett. B 119 387
13. M. Campostrini, A. Di Giacomo, H. Panagopoulos and E. Vicari, Topological charge, renormalization and cooling on the lattice 1990 Nucl. Phys. B 329 683
14. M. Teper, Topology in QCD 2000 Nucl. Phys. (Proc. Suppl.) 83 146 [hep-lat/9909124]
15. L. Del Debbio and C. Pica, Topological susceptibility from the overlap 2004 J. High Energy Phys. JHEP02(2004)003 [hep-lat/0309145]
16. L. Giusti, M. Lüscher, P. Weisz and H. Wittig, Lattice QCD in the epsilon-regime and random matrix theory 2003 J. High Energy Phys. JHEP11(2003)023 [hep-lat/0309189]
17. L. Del Debbio, L. Giusti and C. Pica, Topological susceptibility in the SU(3) gauge theory, 2005 Phys. Rev. Lett. 94 032003 [hep-lat/0407052]
18. L. Rastelli, P. Rossi and E. Vicari, Topological charge on the lattice: a field theoretical view of the geometrical approach 1997 Nucl. Phys. B 489 453 [hep-lat/9610004]
19. c) gauge theories, 2002 Phys. Rev. D 66 094505 [hep-lat/0203030]
20. L. Del Debbio, G.M. Manca and E. Vicari, Critical slowing down of topological modes 2004 Phys. Lett. B 594 315 [hep-lat/0403001]
21. P. de Forcrand, G. Schierholz, H. Schneider and M. Teper, The string and its tension in SU(3) lattice gauge theory: towards definitive results, 1985 Phys. Lett. B 160 137
22. M. Lüscher and P. Weisz, String excitation energies in SU(N) gauge theories beyond the free-string approximation, 2004 J. High Energy Phys. JHEP07(2004)014 [hep-th/0406205]
23. J.F. Arvis, The exact q potential in Nambu string theory, 1983 Phys. Lett. B 127 106
24. B. Lucini and M. Teper, Confining strings in SU(N) gauge theories, 2001 Phys. Rev. D 64 105019 [hep-lat/0107007]
25. M. Teper, An improved method for lattice glueball calculations 1987 Phys. Lett. B 183 345
26. APE collaboration, M. Albanese et al., Glueball masses and string tension in lattice QCD 1987 Phys. Lett. B 192 163
27. L. Del Debbio, H. Panagopoulos, P. Rossi and E. Vicari, Spectrum of confining strings in SU(N) gauge theories, 2002 J. High Energy Phys. JHEP01(2002)009 [hep-th/0111090]
28. L. Del Debbio, H. Panagopoulos, P. Rossi and E. Vicari, k-string tensions in SU(N) gauge theories, 2002 Phys. Rev. D 65 021501 [hep-th/0106185]
29. L. Del Debbio, H. Panagopoulos and E. Vicari, Confining strings in representations with common N-ality 2003 J. High Energy Phys. JHEP09(2003)034 [hep-lat/0308012]
30. B. Lucini, M. Teper and U. Wenger, Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators, 2004 J. High Energy Phys. JHEP06(2004)012 [hep-lat/0404008]
31. L. Del Debbio, H. Panagopoulos and E. Vicari, Topological susceptibility of SU(N) gauge theories at finite temperature, 2004 J. High Energy Phys. JHEP09(2004)028 [hep-th/0407068]
32. c, 2005 Nucl. Phys. B 715 461 [hep-lat/0401028]
33. A. D'Adda, M. Lüscher and P. Di Vecchia, A 1/N expandable series of nonlinear sigma models with instantons 1978 Nucl. Phys. B 146 63
34. N-1 models with quarks, 1979 Nucl. Phys. B 152 125
35. E. Witten, Instantons, the quark model and the 1/N expansion 1979 Nucl. Phys. B 149 285
36. N-1 models in the 1/N expansion, 1992 Phys. Rev. D 45 618
37. M. Lüscher, The secret long range force in quantum field theories with instantons 1978 Phys. Lett. B 78 465
38. N-1 models, 1991 Phys. Lett. B 272 305
39. E. Vicari, The euclidean two-point correlation function of the topological charge density 1999 Nucl. Phys. B 554 301 [hep-lat/9901008]