The sphaleron rate in SU(N) gauge theory

Journal of High Energy Physics

Volumn 2011, Issue 2, 2011, Pages

  Moore, Guy D ^a   Tassler, Marcus ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Lattice gauge field theories; QCD; Solitons monopoles and instantons; Thermal field theory

Indexed keywords

EID: 80053166993     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2011)105     Document Type: Article

References (57)

1. A. A. Belavin, A. M. Polyakov, A. S. Schwartz and Y. S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations, Phys. Lett. B 59 (1975) 85.
2. S. L. Adler, Axial vector vertex in spinor electrodynamics, Phys. Rev. 177 (1969) 2426.
3. J. S. Bell and R. Jackiw, A PCAC puzzle: π0 → γγ in the σ-model, Nuovo Cim. A 60 (1969) 47.
4. G. 't Hooft, Computation of the quantum effects due to a four-dimensional pseudoparticle, Phys. Rev. D 14 (1976) 3432
5. [Erratum Phys. Rev. D 18 (1978) 2199].
6. F. R. Klinkhamer and N. S. Manton, A Saddle Point Solution in the Weinberg-Salam Theory, Phys. Rev. D 30 (1984) 2212.
7. V. A. Kuzmin, V. A. Rubakov and M. E. Shaposhnikov, On the Anomalous Electroweak Baryon Number Nonconservation in the Early Universe, Phys. Lett. B 155 (1985) 36.
8. P. B. Arnold and L. D. McLerran, Sphalerons, Small Fluctuations And Baryon Number Violation In Electroweak Theory, Phys. Rev. D 36 (1987) 581.
9. V. A. Rubakov and M. E. Shaposhnikov, Electroweak baryon number non-conservation in the early universe and in high-energy collisions, Usp. Fiz. Nauk 166 (1996) 493
10. [Phys. Usp. 39 (1996) 461] [hep-ph/9603208].
11. J. M. Cline, Baryogenesis, hep-ph/0609145.
12. G. F. Giudice and M. E. Shaposhnikov, Strong sphalerons and electroweak baryogenesis, Phys. Lett. B 326 (1994) 118 [hep-ph/9311367].
13. P. Huet and A. E. Nelson, Electroweak baryogenesis in super symmetric models, Phys. Rev. D 53 (1996) 4578 [hep-ph/9506477].
14. J. M. Cline, M. Joyce and K. Kainulainen, Super symmetric electroweak baryogenesis in the WKB approximation, Phys. Lett. B 417 (1998) 79
15. [Erratum Phys. Lett. B 448 (1999) 321] [hep-ph/9708393].
16. D. J. H. Chung, B. Garbrecht, M. J. Ramsey-Musolf and S. Tulin, Supergauge interactions and electroweak baryogenesis, JHEP 12 (2009) 067 [arXiv: 0908. 2187].
17. PHENIX collaboration, K. Adcox et al., Formation of dense partonic matter in relativistic nucleus nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration, Nucl. Phys. A 757 (2005) 184 [nucl-ex/0410003].
18. B. B. Back et al., The PHOBOS perspective on discoveries at RHIC, Nucl. Phys. A 757 (2005) 28 [nucl-ex/0410022].
19. BRAHMS collaboration, I. Arsene et al., Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment, Nucl. Phys. A 757 (2005) 1 [nucl-ex/0410020].
20. STAR collaboration, J. Adams et al., Experimental and theoretical challenges in the search for the quark gluon plasma: The STAR collaboration's critical assessment of the evidence from RHIC collisions, Nucl. Phys. A 757 (2005) 102 [nucl-ex/0501009].
21. D. E. Kharzeev, L. D. McLerran and H. J. Warringa, The effects of topological charge change in heavy ion collisions: 'Event by event P and CP-violation', Nucl. Phys. A 803 (2008) 227 [arXiv: 0711. 0950].
22. K. Fukushima, D. E. Kharzeev and H. J. Warringa, The Chiral Magnetic Effect, Phys. Rev. D 78 (2008) 074033 [arXiv:0808.3382].
23. STAR collaboration, B. I. Abelev et al., Observation of charge-dependent azimuthal correlations and possible local strong parity violation in heavy ion collisions, Phys. Rev. C 81 (2010) 054908 [arXiv:0909.1717].
24. S. A. Voloshin, Testing the Chiral Magnetic Effect with Central U +U collisions, Phys. Rev. Lett. 105 (2010) 172301 [arXiv: 1006.1020].
25. P. B. Arnold and L. D. McLerran, The Sphaleron Strikes Back, Phys. Rev. D 37 (1988) 1020.
26. J. Ambjørn, T. Askgaard, H. Porter and M. E. Shaposhnikov, Sphaleron transitions and baryon asymmetry: A Numerical real time analysis, Nucl. Phys. B 353 (1991) 346.
27. D. Bodeker, L. D. McLerran and A. V. Smilga, Really computing nonperturbative real time correlation functions, Phys. Rev. D 52 (1995) 4675 [hep-th/9504123].
28. 4, Phys. Lett. B 362 (1995) 97 [hep-ph/9508202].
29. J. Ambjørn and A. Krasnitz, Improved determination of the classical sphaleron transition rate, Nucl. Phys. B 506 (1997) 387 [hep-ph/9705380].
30. G. D. Moore and N. Turok, Lattice Chern-Simons number without ultraviolet problems, Phys. Rev. D 56 (1997) 6533 [hep-ph/9703266].
31. G. D. Moore, C.-r. Hu and B. Müller, Chern-Simons number diffusion with hard thermal loops, Phys. Rev. D 58 (1998) 045001 [hep-ph/9710436].
32. 4), Phys. Rev. D 55 (1997) 6264 [hep-ph/9609481].
33. D. Bödeker, On the effective dynamics of soft non-abelian gauge fields at finite temperature, Phys. Lett. B 426 (1998) 351 [hep-ph/9801430].
34. P. B. Arnold, D. T. Son and L. G. Yaffe, Hot B violation, color conductivity and log (1/α) effects, Phys. Rev. D 59 (1999) 105020 [hep-ph/9810216].
35. D. Bödeker, G. D. Moore and K. Rummukainen, Chern-Simons number diffusion and hard thermal loops on the lattice, Phys. Rev. D 61 (2000) 056003 [hep-ph/9907545].
36. G. D. Moore, The sphaleron rate: Boedeker's leading log, Nucl. Phys. B 568 (2000) 367 [hep-ph/9810313].
37. P. B. Arnold and L. G. Yaffe, Non-perturbative dynamics of hot non-Abelian gauge fields: Beyond leading log approximation, Phys. Rev. D 62 (2000) 125013 [hep-ph/9912305].
38. P. B. Arnold and L. G. Yaffe, High temperature color conductivity at next-to-leading log order, Phys. Rev. D 62 (2000) 125014 [hep-ph/9912306].
39. G. D. Moore, Do we understand the sphaleron rate?, hep-ph/0009161.
40. G. D. Moore, Computing the strong sphaleron rate, Phys. Lett. B 412 (1997) 359 [hep-ph/9705248].
41. P. B. Arnold, Hot B violation, the lattice and hard thermal loops, Phys. Rev. D 55 (1997) 7781 [hep-ph/9701393].
42. THE MILC collaboration, A. Bazavov et al., Results from the MILC collaboration's SU (3) chiral perturbation theory analysis, PoS (LAT2009) 079 [arXiv:0910.3618].
43. S. Y. Khlebnikov and M. E. Shaposhnikov, The Statistical Theory of Anomalous Fermion Number Nonconservation, Nucl. Phys. B 308 (1988) 885.
44. D. T. Son and A. O. Starinets, Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications, JHEP 09 (2002) 042 [hep-th/0205051].
45. H. B. Meyer, Transport properties of the quark-gluon plasma from lattice QCD, Nucl. Phys. A 830 (2009) 641c [arXiv:0907.4095].
46. G. D. Moore, Motion of Chern-Simons Number at High Temperatures under a Chemical Potential, Nucl. Phys. B 480 (1996) 657 [hep-ph/9603384].
47. M. Lüscher, Topology of Lattice Gauge Fields, Commun. Math. Phys. 85 (1982) 39.
48. P. Woit, Topological Charge in Lattice Gauge Theory, Phys. Rev. Lett. 51 (1983) 638.
49. P. Woit, Topology and Lattice Gauge Fields, Nucl. Phys. B 262 (1985) 284.
50. A. Phillips and D. Stone, Lattice Gauge Fields, Principal Bundles and the Calculation of Topological Charge, Commun. Math. Phys. 103 (1986) 599.
51. D. Y. Grigoriev, V. A. Rubakov and M. E. Shaposhnikov, Sphaleron Transitions at Finite Temperatures: Numerical Study in (1+1)-Dimensions, Phys. Lett. B 216 (1989) 172.
52. D. Bödeker, Classical real time correlation functions and quantum corrections at finite temperature, Nucl. Phys. B 486 (1997) 500 [hep-th/9609170].
53. E. Braaten and R. D. Pisarski, Soft Amplitudes in Hot Gauge Theories: A General Analysis, Nucl. Phys. B 337 (1990) 569.
54. J. Frenkel and J. C. Taylor, High Temperature Limit of Thermal QCD, Nucl. Phys. B 334 (1990) 199.
55. G. D. Moore, Measuring the broken phase sphaleron rate nonperturbatively, Phys. Rev. D 59 (1999) 014503 [hep-ph/9805264].
56. G. D. Moore, O (a) errors in 3 - D SU (N) Higgs theories, Nucl. Phys. B 523 (1998) 569 [hep-lat/9709053].
57. M. Laine, G. D. Moore, O. Philipsen and M. Tassler, Heavy Quark Thermalization in Classical Lattice Gauge Theory: Lessons for Strongly-Coupled QCD, JHEP 05 (2009) 014 [arXiv:0902.2856].