HTL resummation in the light cone gauge

  • 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.
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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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HTL resummation in the light cone gauge

    Corresponding author: Qi Chen,
    Corresponding author: De-fu Hou,
  • 1. Key Laboratory of Quark and Lepton Physics(MOE), Institue of Particle Physics Central China Normal University, Wuhan 430079, China
Fund Project:  Supported by National Natural Science Foundation of China (11375070, 11735007, 11521064)

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.

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