Describing gluons at zero and finite temperature

  • Any description of gluons requires a well-defined gauge. This is complicated non-perturbatively by Gribov copies. A possible method-independent gauge definition to resolve this problem is presented and afterwards used to study the properties of gluons at any temperature. It is found that only chromo-electric properties reflect the phase transition. From these the gauge-invariant phase transition temperature is determined for SU(2) and SU(3) Yang-Mills theory independently.

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  • [1] . Gribov V N. Nucl. Phys. B, 1978, 139: 1; Singer I M.Commun. Math. Phys., 1978, 60: 72. Maas A. Phys. Lett. B, 2010, 689: 107. arXiv:0907.5185[hep-lat]3. Boucaud Ph et al. JHEP, 2008, 0806: 099 [arXiv:0803.2161]4. Fischer C S, Maas A, Pawlowski J M. Annals Phys., 2009,324: 2408 [arXiv:0810.1987 [hep-ph]]5. Cucchieri A, Maas A, Mendes T. Phys. Rev. D, 2007, 75:076003. [arXiv:hep-lat/0702022]6. Maas A, Wambach J, Gruter B, Alkofer R. Eur. Phys. J.C, 2004, 37: 335 [arXiv:hep-ph/0408074]7. Cucchieri A, Karsch F, Petreczky P. Phys. Lett. B, 2001,497: 80 [arXiv:hep-lat/0004027]; Phys. Rev. D, 2001, 64:036001. [arXiv:hep-lat/0103009]8. Maas A, Wambach J, Alkofer R. Eur. Phys. J. C, 2005, 42:93. [arXiv:hep-ph/0504019]9. Maas A, Olejnk S. JHEP, 2008, 0802: 070 [arXiv:0711.1451 [hep-lat]]10. Fischer C S, Maas A, Muller J: Chiral and decon nementtransition from correlation functions: SU(2) vs. SU(3) (acceptedby Eur. Phys. J. C; arxiv: 1003.1960[hep-lat])11. Cucchieri A, Mendes T. Phys. Rev. D, 2008, 78: 094503;[arXiv:0804.2371 [hep-lat]] Phys. Rev. Lett., 2008, 100:241601. [arXiv:0712.3517 [hep-lat]]; Bornyakov V G, MitrjushkinV K, Muller-Preussker M. Phys. Rev. D, 2009, 79:074504. [arXiv:0812.2761 [hep-lat]]; Dudal D, Gracey J A,Sorella S P, Vandersickel N, Verschelde H. Phys. Rev. D,2008, 78: 065047 [arXiv:0806.4348 [hep-th]]; Sternbeck A,von Smekal L. arXiv:0811.4300 [hep-lat]; Bogolubsky I L,Ilgenfritz E M, Muller-Preussker M, Sternbeck A. Phys.Lett. B, 2009, 676: 69 [arXiv:0901.0736 [hep-lat]]; OliveiraO, Silva P J. arXiv:0910.2897 [hep-lat]; Binosi D, PapavassiliouJ. Phys. Rept., 2009, 479: 1 [arXiv:0909.2536 [hepph]]12. Saito T, Chernodub M N, Nakamura A, Zakharov V I.arXiv:0910.4828 [hep-lat]
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A. Maas. Describing gluons at zero and finite temperature[J]. Chinese Physics C, 2010, 34(9): 1328-1330.
A. Maas. Describing gluons at zero and finite temperature[J]. Chinese Physics C, 2010, 34(9): 1328-1330. shu
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Received: 2010-02-08
Revised: 1900-01-01
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Describing gluons at zero and finite temperature

    Corresponding author: A. Maas,
  • Institute of Physics, Karl-Franzens University Graz, Universitatsplatz 5, A-8010 Graz, Austria

Abstract: 

Any description of gluons requires a well-defined gauge. This is complicated non-perturbatively by Gribov copies. A possible method-independent gauge definition to resolve this problem is presented and afterwards used to study the properties of gluons at any temperature. It is found that only chromo-electric properties reflect the phase transition. From these the gauge-invariant phase transition temperature is determined for SU(2) and SU(3) Yang-Mills theory independently.

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