Cornwall-Jackiw-Tomboulis Effective Potential for Quark Propagator in Real-Time Thermal Field Theory and Landau Gauge |
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Authors: | ZHOU Bang-Rong |
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Affiliation: | College of Physical Science, Graduate School of the Chinese Academy of Sciences, Beijing 100049, China;CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China |
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Abstract: | We complete the derivation of the Cornwall-Jackiw-Tomboulis effective potential for quark propagator at finite temperature and finite quark chemical potential in the real-time formalism of thermal field theory and in Landau gauge. In the approximationthat the function A(p2) in inverse quark propagator is replacedby unity, by means of the running gauge coupling and the quark mass function invariant under the renormalization group in zero temperature Quantum Chromadynamics (QCD), we obtain a calculable expression for the thermal effective potential, which will be auseful means to research chiral phase transition in QCD in thereal-time formalism. |
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Keywords: | CJT effective potential real-time thermal field theory QCD quark propagator Landau gauge |
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