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Rigorous relativistic equation for quark–antiquark bound states at finite temperature derived from thermal QCD formulated in the coherent-state representation

  • Jun-Chen Su
Theoretical Physics
  • 39 Downloads

Abstract

A rigorous three-dimensional relativistic equation for quark–antiquark bound states at finite temperature is derived from the thermal QCD generating functional which is formulated in the coherent-state representation. The generating functional is derived newly and given a correct path-integral expression. The perturbative expansion of the generating functional is specifically given by means of the stationary-phase method. Especially, the interaction kernel in the three-dimensional equation is derived by virtue of the equations of motion satisfied by some quark–antiquark Green functions and given a closed form which is expressed in terms of only a few types of Green functions. This kernel is very suitable to use for exploring the deconfinement of quarks. To demonstrate the applicability of the equation derived, the one-gluon exchange kernel is derived and described in detail.

Keywords

Partition Function Ghost Green Function Perturbative Expansion Position Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of PhysicsHarbin Institute of TechnologyHarbinP.R. China
  2. 2.Center for Theoretical Physics, School of PhysicsJilin UniversityChangchunP.R. China

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