ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS

ZHOU GUANG-ZHAO; SU ZHAO-BING

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2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(3) : 314-326

ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS

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Abstract：
The Dyson equation satisfied by the closed time path Green's function of the or-der parameters is considered.The transport equation for the number density of thequasi-particles is written down in a general but simple form.Using the path integ-ral formulation for the generating functional of these Green's functions,the Ward-Takahashi identities are deduced.

References

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J. Schwinger, J, Math. Phys., 2 (1961), 407. L. V. Keldysh, JETP, 20 (1965), 1018. R. A. Graig, J. Math. Phys., 9 (1968), 605. Mills, R, Propagators for many particle systems, New York, Gordon and Breach, 1969. V. korenman, Ann. Phys. (N. Y.), 39 (1966), 72. V. L. Berezinskii, JETP, 26 (1968), 137. G. Niklasson and A. Sjlander, Ann. Phys. (N. Y.), 49 (1968), 249. C. P. Enz. The many body problem, New York, Plenum press, 1969. R. Sandstrm, Phys. stat., Solidi, 38(1970), 683. C. Caroli, R. Combescot, P. Nozieres, D. Saint-James, J. Phys., C4(1971). 916. A. C. Ha, J. Phys., A8(1974), 214. Molecnlar Phys., 28 (1974)，1.[2] J. C. Ward, Phys, Rev., 78 (1950), 1824. Y. Takahashi Nuovo Cimento, 6 (1957), 370.[3] A. A. Slavnov, Teor, Math. Fiz., 10(1972)，153. J. C. Taylor, Nucl. Phys., B33 (1971), 436.[4] L. D. Faddeev and V. N. Popov, Phys. Lett., 25B (1970), 30;G. 't Hooft, Nucl. Phys., B33 (1971), 173;B. W. Lee and J. Zinn-Jnstin, Phys, Rev., D5 (1972), 3121; D5 (1972), 3137.[5] C. Bceehj, A. Rouet and R. Stora, Phys. Lett., 52B (1974), 344; .Ann. Phys. (N. Y.). 98(1976). 287.

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ZHOU GUANG-ZHAO and SU ZHAO-BING. ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS[J]. Chinese Physics C, 1979, 3(3): 314-326.

ZHOU GUANG-ZHAO and SU ZHAO-BING. ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS[J]. Chinese Physics C, 1979, 3(3): 314-326. shu

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Received: 1979-01-24
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

ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS

ZHOU GUANG-ZHAO
SU ZHAO-BING

Received Date: 1979-01-24
Accepted Date: 1900-01-01
Available Online: 1979-06-05

Abstract: The Dyson equation satisfied by the closed time path Green's function of the or-der parameters is considered.The transport equation for the number density of thequasi-particles is written down in a general but simple form.Using the path integ-ral formulation for the generating functional of these Green's functions,the Ward-Takahashi identities are deduced.