Correct Path-Integral Formulation of Quantum Thermal Field Theory in Coherent State Representation

SU Jun-Chen ,ZHENG Fu-Hou

理论物理通讯 ›› 2005, Vol. 43 ›› Issue (04) : 641-656.

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会计学季刊
Quarterly Journal of Accounting
主办单位:
香港中文大学会计学院
上海财经大学会计学院
南京大学商学院会计学系
ISSN: 3006-1415
PDF(262 KB)
理论物理通讯 ›› 2005, Vol. 43 ›› Issue (04) : 641-656.

Correct Path-Integral Formulation of Quantum Thermal Field Theory in Coherent State Representation

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Correct Path-Integral Formulation of Quantum Thermal Field Theory in Coherent State Representation

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Abstract

The path-integral quantization of thermal scalar, vector, and spinor fields is performed newly in the coherent-state representation. In doing this, we choose the thermal electrodynamics and φ4 theory as examples. By this quantization, correct expressions of the partition functions and the generating functionals for the quantum thermal electrodynamics and φ4 theory are obtained in the coherent-state representation. These expressions allow us to perform analytical calculations of the partition functions and generating functionals and therefore are useful in practical applications. Especially, the perturbative expansions of the generating functionals are derived specifically by virtue of the stationary-phase method. The generating functionals formulated in the position space are re-derived from the ones given in the coherent-state representation.

关键词

thermal fields / partition function / generating functional / coherent-state representation

Key words

thermal fields / partition function / generating functional / coherent-state representation

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SU Jun-Chen, ZHENG Fu-Hou. Correct Path-Integral Formulation of Quantum Thermal Field Theory in Coherent State Representation[J]. 理论物理通讯, 2005, 43(04): 641-656
SU Jun-Chen, ZHENG Fu-Hou. Correct Path-Integral Formulation of Quantum Thermal Field Theory in Coherent State Representation[J]. Communications in Theoretical Physics, 2005, 43(04): 641-656
中图分类号: 05.30.-d    67.40.Db    11.15.-q    12.38.-t   

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