HTL resummation in the light cone gauge

Qi Chen; De-fu Hou

doi:10.1088/1674-1137/42/4/043102

Chinese Physics C> 2018, Vol. 42> Issue(4) : 043102 DOI: 10.1088/1674-1137/42/4/043102

HTL resummation in the light cone gauge

Qi Chen ^, ,
De-fu Hou ^,

1.
Key Laboratory of Quark and Lepton Physics(MOE), Institue of Particle Physics Central China Normal University, Wuhan 430079, China

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Abstract：
The light cone gauge with light cone variables is often used in pQCD calculations in relativistic heavy-ion collision physics. The Hard Thermal Loops (HTL) resummation is an indispensable technique for hot QCD calculation. It was developed in covariant gauges with conventional Minkowski varaiables; we shall extend this method to the light cone gauge. In the real time formalism, using the Mandelstam-Leibbrant prescription of (n· K)^-1, we calculate the transverse and longitudinal components of the gluon HTL self energy, and prove that there are no infrared divergences. With this HTL self energy, we derive the HTL resummed gluon propagator in the light cone gauge. We also calculate the quark HTL self energy and the resummed quark propagator in the light cone gauge and find it is gauge independent. As application examples, we analytically calculate the damping rates of hard quarks and gluons with the HTL resummed gluon propagator in the light cone gauge and showed that they are gauge independent. The final physical results are identical to those computed in covariant gauge, as they should be.
- hard thermal loop ,
- light cone gauge ,
- damping rate

References

[1]	E. Braaten and R. D. Pisarski, Nucl.Phys. B, 337:569 (1990)
[2]	G. Curci, W. Furmanski, and R. Petronzio, Nucl. Phys. B, 175:27-92 (1980)
[3]	W. Furmanski and R. Petronzio, Phys. Lett. B, 97:437-442 (1980)
[4]	E.G. Floratos,R. Lacaze, and C. Kounnas, Phys. Lett. B, 98:89-95 (1981)
[5]	J. Kalinowski, K. Konishi, and T. R. Taylor, Nucl. Phys. B, 181:221-252 (1981)
[6]	George Leibbrandt, Phys. Rev. D, 29:1699 (1984); George Leibbrandt, Rev. Mod. Phys., 59:106 (1987)
[7]	A. Bassetto, G. Nardelli, and R. Soldati, Yang-Mills Theory in algebraic non-covariant gauge (Singapore:World Scientific, 1991)
[8]	John C. Collins, Davison E. Soper, and George F. Sterman, Perturbative Quantum Chromodynamics (Singapore:World Scientific, 1989)
[9]	D. J. Pritchard and W. James Stirling, Nucl. Phys. B, 165:237-268 (1980)
[10]	Yuri L. Dokshitzer, Dmitri Diakonov, and S. I. Troian, Phys. Rept., 58:269-395 (1980)
[11]	John C. Collins and Jian-wei Qiu, Phys. Rev. D, 39:1398 (1989)
[12]	Jian-Wei Qiu, Phys. Rev. D, 42:30-44 (1990)
[13]	Jian-wei Qiu and George F. Sterman, Nucl. Phys. B, 353:105-136 (1991)
[14]	Jian-wei Qiu and George F. Sterman, Nucl. Phys. B,353:137-164 (1991)
[15]	Enke Wang and Xin-Nian Wang, Phys. Rev. C,64:034901 (2001)
[16]	Enke Wang and Xin-Nian Wang, Phys. Rev. Lett., 87:142301 (2001)
[17]	Enke Wang and Xin-Nian Wang, Phys. Rev. Lett., 89:162301 (2002)
[18]	Xin-nian Wang, Phys. Rev. Lett., 68:1480-1483 (1992)
[19]	Xin-Nian Wang and Miklos Gyulassy, Phys. Rev. Lett., 68:1480-1483 (1992)
[20]	Xin-nian Wang, Phys. Rept., 280:287-371 (1997)
[21]	Xin-nian Wang, Phys. Rev. C, 58:2321 (1998)
[22]	Xin-nian Wang, Phys. Lett. B, 650:213-218 (2007)
[23]	Jorge Casalderrey-Solana and Xin-Nian Wang, Phys. Rev. C, 77:024902 (2008)
[24]	Guang-You Qin and Abhijit Majumder, Phys. Rev. Lett., 105:262301 (2010)
[25]	Guang-You Qin, Jorg Ruppert, Charles Gale, Sangyong Jeon, Guy D. Moore, and Munshi G. Mustafa, Phys. Rev. Lett., 100:072301 (2008)
[26]	A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Eur. Phys. J. C, 63:189-285 (2009)
[27]	John C. Collins, Davison E. Soper, and George F. Sterman, Adv. Ser. Direct. High Energy Phys., 5:1-91 (1989)
[28]	A. Metz and A. Vossen, arXiv:1607.02521v2
[29]	David d' Enterria and Peter Z.Skands, arXiv:1702.0139v1
[30]	Xin-Nian Wang and Xiao-feng Guo, Nucl. Phys. A, 696:788-832 (2001)
[31]	Jonathan A. Osborne, Enke Wang, and Xin-Nian Wang, Phys. Rev. D, 67:094022 (2003)
[32]	M. Le Bellac, Thermal field theory (Cambridge, 1996)
[33]	H. A. Weldon, Phys. Rev. D, 26:1394 (1982)
[34]	Jens O. Andersen, Michael Strickland and Nan Su, JHEP, 1008:113 (2010)
[35]	Markus H. Thoma, arXiv:0010164v1
[36]	K.Chou, Z. Su, B. Hao, and L. Yu, Phys. Rep., 118:1 (1985)
[37]	L.V. Keldysh, JETP, 20:1018 (1965)
[38]	Margaret E. Carrington, Hou Defu, and Markus H. Thoma, Eur. Phys. J. C, 7:347-354 (1999)
[39]	N. P. Landsmann and C. G. Van weert, Phys. Rep, 145:141 (1987)
[40]	H. A. Weldon, Phys. Rev. D, 26:2789 (1982)
[41]	Robert D. Pisarski, Phys. Rev. Lett.63:(1989) 1129.
[42]	J.I.Kapusta, Finite-Temperature Field Theory (Cambridge University Press, Cambridge, 1989)

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Qi Chen and De-fu Hou. HTL resummation in the light cone gauge[J]. Chinese Physics C, 2018, 42(4): 043102. doi: 10.1088/1674-1137/42/4/043102

Qi Chen and De-fu Hou. HTL resummation in the light cone gauge[J]. Chinese Physics C, 2018, 42(4): 043102. doi: 10.1088/1674-1137/42/4/043102 shu

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Received: 2017-12-04

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Supported by National Natural Science Foundation of China (11375070, 11735007, 11521064)

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沈阳化工大学材料科学与工程学院沈阳 110142

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HTL resummation in the light cone gauge

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