A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism

XIAO Jun; CHENG Luan; WANG En-Ke

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2004, Vol. 28> Issue(7) : 690-695

A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism

Institute of Particle Physics,Huazhong Normal University,Wuhan 430079,China

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Abstract：
Based on the closed time path formalism, a deduced Feynman rule for directly calculating the retarded and advanced Green functions is given. This Feynman rule is used to calculate the two-point self-energy and three-point vertex correction in φ³ theory. The generalized fluctuation-dissipation theorem for three-point nonlinear response function is verified.

References

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. Schwinger J. J. Math. Phys. , 1961, 2: 4072. Keldysh L V. Sov. Phys. JETP, 1965, 20: 10183. Chou K C et al. Phys. Rep. , 1985, 118: 14. WANG E K, Heinz U. Phys. Lett. , 1999, B471: 208; Phys. Rev. ,2003, D67: 0250225. WANG E K, Heinz U, Zhang X F. Phys. Rev. , 1996, D53: 59786. HOU D F, WANG E K, Heinz U. J. Phys. , 1998, G24: 18617. Aarts G, Smit J. Nucl. Phys. , 1998, B 511: 4518. van Eijck M A, Kobes R, van Weert C G. Phys. Rev. , 1994,D50: 40979. Aurenche P, Becherrawy T. Nucl. Phys. , 1992, B379: 25910. ZHANG H Z, WANG E K. High Energy Phys. and Nucl. Phys. ,2002, 26( 5) : 522 11. WANG E K, Heinz U. Phys. Rev. , 2002, D66: 02500812. Lehmann H, Symanzik K, Zimmermann W. Nuovo Cimento, 1957, 6:31913. Callen H B, Welton T A. Phys. Rev. , 1951, 83: 3414. Weldon H A. Phys. Rev. , 1983, D28: 2007

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XIAO Jun, CHENG Luan and WANG En-Ke. A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism[J]. Chinese Physics C, 2004, 28(7): 690-695.

XIAO Jun, CHENG Luan and WANG En-Ke. A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism[J]. Chinese Physics C, 2004, 28(7): 690-695. shu

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Received: 2003-07-18
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism

Corresponding author: WANG En-Ke,

Institute of Particle Physics,Huazhong Normal University,Wuhan 430079,China

Received Date: 2003-07-18
Accepted Date: 1900-01-01
Available Online: 2004-07-05

Abstract: Based on the closed time path formalism, a deduced Feynman rule for directly calculating the retarded and advanced Green functions is given. This Feynman rule is used to calculate the two-point self-energy and three-point vertex correction in φ³ theory. The generalized fluctuation-dissipation theorem for three-point nonlinear response function is verified.