Real-Time Thermal Ward-Takahashi Identity for Vectorial Current
in QED and QCD |
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Authors: | ZHOU Bang-Rong |
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Institution: | Department of Physics, Graduate School of the Chinese Academy
of Sciences, Beijing 100039, China |
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Abstract: | It is shown that by means of canonical operator approach
the Ward-Takahashi identity (WTI) at finite temperature T and finite
chemical potential μ for complete vectorial vertex and complete
fermion propagator can be simply proven, rigorously for Quantum
Electrodynamics, and approximately for Quantum Chromodynamics,
where the ghost effect in the fermion sector is neglected. The
WTI shown in the real-time thermal matrix form will give definite thermal
constraints on the imaginary part of inverse complete Feynman propagator
including self-energy for fermion and will play an important role in
relevant physical processes. When the above inverse propagator is assumed
to be real, the thermal WTI will essentially be reduced to its form at
T= μ=0 thus one can use it in the latter's form. At this point,
a practical example is indicated. |
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Keywords: | Ward-Takahashi identity vectorial vertex real-time thermal field theory QED QCD |
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