The 4D SU(3) gauge theory with an imaginary θ term

Journal of High Energy Physics

Volumn 2011, Issue 11, 2011, Pages

  Panagopoulos, Haralambos ^a   Vicari, Ettore ^b  

^a UNIVERSITY OF CYPRUS   (Cyprus)

^b UNIVERSITY OF PISA   (Italy)

Author keywords

1 N Expansion; Lattice Gauge Field Theories; Lattice QCD

Indexed keywords

EID: 84255176511     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2011)119     Document Type: Article

References (36)

1. G. 'tHooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
2. E. Witten, Instantons, the quark model and the 1/n expansion, Nucl. Phys. B 149 (1979) 285.
3. E. Witten, Large-N chiral dynamics, Annals Phys. 128 (1980) 363.
4. E. Vicari and H. Panagopoulos, Theta dependence of SU(N) gauge theories in the presence of a topological term, Phys. Rept. 470 (2009) 93 [arXiv:0803.1593].
5. C. Baker, D. Doyle, P. Geltenbort, K. Green, M. van der Grinten, et al., An improved experimental limit on the electric dipole moment of the neutron, Phys. Rev. Lett. 97 (2006) 131801 [hep-ex/0602020].
6. P. Harris, C. Baker, K. Green, P. Iaydjiev, S. Ivanov, et al., New experimental limit on the electric dipole moment of the neutron, Phys. Rev. Lett. 82 (1999) 904.
7. G. 'tHooft, Symmetry breaking through Bell-Jackiw anomalies, Phys. Rev. Lett. 37 (1976) 8.
8. E. Witten, Current algebra theorems for the U(1) Goldstone boson, Nucl. Phys. B 156 (1979) 269.
9. G. Veneziano, U(1) without instantons, Nucl. Phys. B 159 (1979) 213.
10. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
11. E. Witten, Theta dependence in the large-N limit of four-dimensional gauge theories, Phys. Rev. Lett. 81 (1998) 2862 [hep-th/9807109].
12. P. Di Vecchia, Large-N gauge theories and AdS/CFT correspondence, hep-th/9908148.
13. U. Gürsoy and E. Kiritsis, Exploring improved holographic theories for QCD: part I, JHEP 02 (2008) 032 [arXiv:0707.1324].
14. U. Gürsoy, E. Kiritsis and F. Nitti, Exploring improved holographic theories for QCD: part II, JHEP 02 (2008) 019 [arXiv:0707.1349].
15. L. Del Debbio, H. Panagopoulos and E. Vicari, Theta dependence of SU(N) gauge theories, JHEP 08 (2002) 044 [hep-th/0204125].
16. M. Lüscher, Topological effects in QCD and the problem of short distance singularities, Phys. Lett. B 593 (2004) 296 [hep-th/0404034].
17. M. D'Elia, Field theoretical approach to the study of theta dependence in Yang-Mills theories on the lattice, Nucl. Phys. B 661 (2003) 139 [hep-lat/0302007].
18. L. Giusti, S. Petrarca and B. Taglienti, Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice, Phys. Rev. D 76 (2007) 094510 [arXiv:0705.2352].
19. D. Espriu and R. Tarrach, Renormalization of the axial anomaly operators, Z. Phys. C 16 (1982) 77.
20. I. Montvay and G. Münster, Quantum fields on a lattice, Cambridge University Press, Cambridge U.K. (1994).
21. P. Di Vecchia, K. Fabricius, G. Rossi and G. Veneziano, Preliminary evidence for U(1)A breaking in QCD from lattice calculations, Nucl. Phys. B 192 (1981) 392.
22. M. Campostrini, A. Di Giacomo and H. Panagopoulos, The topological susceptibility on the lattice, Phys. Lett. B 212 (1988) 206.
23. H. Neuberger, Exact chiral symmetry on the lattice, Ann. Rev. Nucl. Part. Sci. 51 (2001) 23 [hep-lat/0101006].
24. P. Hasenfratz, V. Laliena and F. Niedermayer, The index theorem in QCD with a finite cutoff, Phys. Lett. B 427 (1998) 125 [hep-lat/9801021].
25. M. Teper, Topology in QCD, Nucl. Phys. Proc. Suppl. 83 (2000) 146 [hep-lat/9909124].
26. V. Azcoiti, G. Di Carlo, A. Galante and V. Laliena, New proposal for numerical simulations of theta vacuum - like systems, Phys. Rev. Lett. 89 (2002) 141601 [hep-lat/0203017].
27. V. Azcoiti, G. Di Carlo, A. Galante and V. Laliena, Theta dependence of CP9 model, Phys. Rev. D 69 (2004) 056006 [hep-lat/0305022].
28. V. Azcoiti, G. Di Carlo and A. Galante, Critical behaviour of CP1 at Θ = π Haldane's conjecture and the relevant universality class, Phys. Rev. Lett. 98 (2007) 257203 [arXiv:0710.1507].
29. B. Alles and A. Papa, Mass gap in the 2d O(3) non-linear σ-model with a Θ = π term, Phys. Rev. D 77 (2008) 056008 [arXiv:0711.1496].
30. L. Del Debbio, H. Panagopoulos, P. Rossi and E. Vicari, Spectrum of confining strings in SU(N) gauge theories, JHEP 01 (2002) 009 [hep-th/0111090].
31. B. Alles, M. Campostrini, L. Del Debbio, A. Di Giacomo, H. Panagopoulos and E. Vicari, The spin content of the proton in quenched QCD, Phys. Lett. B 336 (1994) 248 [hep-lat/9402019].
32. L. Del Debbio, G.M. Manca, H. Panagopoulos, A. Skouroupathis and E. Vicari, Theta-dependence of the spectrum of SU(N) gauge theories, JHEP 06 (2006) 005 [hep-th/0603041].
33. L. Del Debbio, G.M. Manca and E. Vicari, Critical slowing down of topological modes, Phys. Lett. B 594 (2004) 315 [hep-lat/0403001].
34. M. Campostrini, P. Rossi and E. Vicari, Monte Carlo simulation of CPN-1 models, Phys. Rev. D 46 (1992) 2647.
35. ALPHA Collaboration collaboration, S. Schaefer, R. Sommer and F. Virotta, Critical slowing down and error analysis in lattice QCD simulations, Nucl. Phys. B 845 (2011) 93 [arXiv:1009.5228].
36. D.J. Earl and M.W. Deem, Parallel tempering: theory, applications and new perspectives, Physical Chemistry Chemical Physics (Incorporating Faraday Transactions) 7 (2005) 3910 [arXiv:physics/0508111]