Universal mechanism of (semi-classical) deconfinement and θ-dependence for all simple groups

Journal of High Energy Physics

Volumn 2013, Issue 3, 2013, Pages

  Poppitz, Erich ^a   Schäfer, Thomas ^b   Ünsal, Mithat ^c  

^a UNIVERSITY OF TORONTO   (Canada)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

^c SAN FRANCISCO STATE UNIVERSITY   (United States)

Author keywords

't Hooft and Polyakov loops; 1 N Expansion; Confinement; Lattice Gauge Field Theories; Wilson

Indexed keywords

EID: 84876249023     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2013)087     Document Type: Article

References (46)

1. E. Poppitz, T. Schäfer and M. Ünsal, Continuity, deconfinement and (super) Yang-Mills theory, JHEP 10 (2012) 115 [ arXiv:1205.0290 ] [ INSPIRE ].
2. E. Poppitz and M. Ünsal, Seiberg-Witten and 'Polyakov-like' magnetic bion confinements are continuously connected, JHEP 07 (2011) 082 [ arXiv:1105.3969 ] [ INSPIRE ].
3. D.J. Gross, R.D. Pisarski and L.G. Yaffe, QCD and instantons at finite temperature, Rev. Mod. Phys. 53 (1981) 43 [ INSPIRE ].
4. N. Seiberg and E. Witten, Gauge dynamics and compactification to three-dimensions, hep-th/9607163 [ INSPIRE ].
5. O. Aharony, A. Hanany, K.A. Intriligator, N. Seiberg and M. Strassler, Aspects of N = 2 supersymmetric gauge theories in three-dimensions, Nucl. Phys. B 499 (1997) 67 [ hep-th/9703110 ] [ INSPIRE ].
6. N.M. Davies, T.J. Hollowood and V.V. Khoze, Monopoles, affine algebras and the gluino condensate, J. Math. Phys. 44 (2003) 3640 [ hep-th/0006011 ] [ INSPIRE ]. (Pubitemid 36989650)
7. M. Ünsal and L.G. Yaffe, Large-N volume independence in conformal and confining gauge theories, JHEP 08 (2010) 030 [ arXiv:1006.2101 ] [ INSPIRE ].
8. K.-M. Lee and P. Yi, Monopoles and instantons on partially compactified D-branes, Phys. Rev. D 56 (1997) 3711 [ hep-th/9702107 ] [ INSPIRE ].
9. T.C. Kraan and P. van Baal, Monopole constituents inside SU(N) calorons, Phys. Lett. B 435 (1998)389 [ hep-th/9806034 ] [ INSPIRE ].
10. 3, J. Funct. Anal. (2000) [ math/0009144 ] [ INSPIRE ].
11. 1 and Chern-Simons theory, JHEP 03 (2009) 027 [ arXiv:0812.2085 ] [ INSPIRE ].
12. M. Ünsal, Magnetic bion condensation: a new mechanism of confinement and mass gap in four dimensions, Phys. Rev. D 80 (2009) 065001 [ arXiv:0709.3269 ] [ INSPIRE ].
13. M.M. Anber and E. Poppitz, Microscopic structure of magnetic bions, JHEP 06 (2011) 136 [ arXiv:1105.0940 ] [ INSPIRE ].
14. P.C. Argyres and M. Ünsal, The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion and renormalon effects, JHEP 08 (2012) 063 [ arXiv:1206.1890 ] [ INSPIRE ].
15. B. Lucini, M. Teper and U. Wenger, Properties of the deconfining phase transition in SU(N) gauge theories, JHEP 02 (2005) 033 [ hep-lat/0502003 ] [ INSPIRE ].
16. M. Panero, Thermodynamics of the QCD plasma and the large-N limit, Phys. Rev. Lett. 103 (2009)232001 [ arXiv:0907.3719 ] [ INSPIRE ].
17. A. Mykkanen, M. Panero and K. Rummukainen, Casimir scaling and renormalization of Polyakov loops in large-N gauge theories, JHEP 05 (2012) 069 [ arXiv:1202.2762 ] [ INSPIRE ].
18. B. Lucini and M. Panero, SU(N) gauge theories at large-N, arXiv:1210.4997 [ INSPIRE ].
19. Particle Data Group collaboration, J. Beringer et al., Review of particle physics, Phys. Rev. D 86 (2012) 010001 [ INSPIRE ].
20. E. Witten, Theta dependence in the large-N limit of four-dimensional gauge theories, Phys. Rev. Lett. 81 (1998) 2862 [ hep-th/9807109 ] [ INSPIRE ].
21. M. Ünsal and L.G. Yaffe, Center-stabilized Yang-Mills theory: confinement and large-N volume independence, Phys. Rev. D 78 (2008) 065035 [ arXiv:0803.0344 ] [ INSPIRE ].
22. B. Bringoltz and M. Teper, In search of a Hagedorn transition in SU(N) lattice gauge theories at large-N, Phys. Rev. D 73 (2006) 014517 [ hep-lat/0508021 ] [ INSPIRE ].
23. N. Cabibbo and G. Parisi, Exponential hadronic spectrum and quark liberation, Phys. Lett. B 59 (1975)67 [ INSPIRE ].
24. c QCD at finite temperature: is there an ultimate temperature?, Phys. Lett. B 99 (1981) 458 [ INSPIRE ].
25. c, Phys. Lett. B 637 (2006) 81 [ hep-th/0602037 ] [ INSPIRE ].
26. O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk, The Hagedorn-deconfinement phase transition in weakly coupled large-N gauge theories, Adv. Theor. Math. Phys. 8 (2004) 603 [ hep-th/0310285 ] [ INSPIRE ].
27. 3, Phys. Rev. D 71 (2005)125018 [ hep-th/0502149 ] [ INSPIRE ].
28. J.C. Myers and M.C. Ogilvie, New phases of SU(3) and SU(4) at finite temperature, Phys. Rev. D 77 (2008) 125030 [ arXiv:0707.1869 ] [ INSPIRE ].
29. M.C. Ogilvie, Phases of gauge theories, J. Phys. A 45 (2012) 483001 [ arXiv:1211.2843 ] [ INSPIRE ].
30. M. D'Elia and F. Negro, θ dependence of the deconfinement temperature in Yang-Mills theories, Phys. Rev. Lett. 109 (2012) 072001 [ arXiv:1205.0538 ] [ INSPIRE ].
31. 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 ] [ INSPIRE ].
32. E. Thomas and A. R. Zhitnitsky, Topological susceptibility and contact term in QCD. A toy model, Phys. Rev. D 85 (2012) 044039 [ arXiv:1109.2608 ] [ INSPIRE ].
33. M. Ünsal, Theta dependence, sign problems and topological interference, Phys. Rev. D 86 (2012)105012 [ arXiv:1201.6426 ] [ INSPIRE ].
34. c) Yang-Mills theories, arXiv:1302.2641 [ INSPIRE ].
35. 2 gauge theory, Nucl. Phys. B 668 (2003) 207 [ hep-lat/0302023 ] [ INSPIRE ]. (Pubitemid 37041681)
36. 2 gauge theory, Nucl. Phys. B 768 (2007)21 [ hep-lat/0610076 ] [ INSPIRE ].
37. 2 and SU(N) gauge theories, Phys. Rev. D 75 (2007) 034501 [ hep-lat/0609050 ] [ INSPIRE ].
38. 2 gauge theory at finite temperature, JHEP 10 (2007) 100 [ arXiv:0709.0669 ] [ INSPIRE ].
39. D. Diakonov and V. Petrov, Confinement and deconfinement for any gauge group from dyons viewpoint, AIP Conf. Proc. 1343 (2011) 69 [ arXiv:1011.5636 ] [ INSPIRE ].
40. 2 Yang-Mills theory, Phys. Rev. D 86 (2012)114508 [ arXiv:1210.5963 ] [ INSPIRE ].
41. A. Dumitru, Y. Guo, Y. Hidaka, C.P.K. Altes and R.D. Pisarski, Effective matrix model for deconfinement in pure gauge theories, Phys. Rev. D 86 (2012) 105017 [ arXiv:1205.0137 ] [ INSPIRE ].
42. E. Shuryak and T. Sulejmanpasic, The chiral symmetry breaking/restoration in dyonic vacuum, Phys. Rev. D 86 (2012) 036001 [ arXiv:1201.5624 ] [ INSPIRE ].
43. B. Svetitsky and L.G. Yaffe, Critical behavior at finite temperature confinement transitions, Nucl. Phys. B 210 (1982) 423 [ INSPIRE ].
44. D. Diakonov, C. Gattringer and H.-P. Schadler, Free energy for parameterized Polyakov loops in SU(2) and SU(3) lattice gauge theory, JHEP 08 (2012) 128 [ arXiv:1205.4768 ] [ INSPIRE ].
45. P. Argyres and M. Ünsal, A semiclassical realization of infrared renormalons, Phys. Rev. Lett. 109 (2012) 121601 [ arXiv:1204.1661 ] [ INSPIRE ].
46. K. Fukushima, D.E. Kharzeev and H.J. Warringa, The chiral magnetic effect, Phys. Rev. D 78 (2008)074033 [ arXiv:0808.3382 ] [ INSPIRE ].