RENORMALIZATION OF THE CLOSED TIME PATH GREEN'S FUNCTIONS IN NON-EQULIBRIUM STATISTICAL FIELD THEORY

ZHOU GUANG-ZHAO; SU ZHAO-BING

Chinese Physics C> 1979, Vol. 3> Issue(3) : 304-313

RENORMALIZATION OF THE CLOSED TIME PATH GREEN'S FUNCTIONS IN NON-EQULIBRIUM STATISTICAL FIELD THEORY

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Abstract：
The problem of renormalization of the closed time path Green's function in non-equlibrium statistical field theory is studied.Under some reasonable assumptionson the high energy behavior of the initial correlation functions,it is found that thesame counter terms,which eliminate the ultraviolet divergences in the usual fieldtheory,can also make the closed time path Green's functions free of ultraviolet di-vergences.The renormalization group equation satisfied by the closed time pathvertex functions is obtained and the Callan-Symanzik coefficient functions are shownto be the same as in the usual field theory.

References

[1]

D. A. Kirzhnits and A. D. Linde, Phys, Lett.,42B(1971), 471. D. A. Kirzhnits., JETP Lett., 15 (1972). 529. S. Weinberg, Phys. Rev., D9 (1974), 3357. L. Dolan and R. Jackiw. Phys. Rev., D9 (1974), 3320. M. B. Kislinger and P. D. Morley, Phys. Rev., D13 (1976), 2765.[2] M. B. Kislinger and P. D. Morley, Phys. Rev., D13 (1976), 2771. S. Weinberg, Phys. Rev., D9 (1974). 3357. D. Dolan and R. Jackiw, Phys. Rev., D9 (1974), 3320.[3] 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: Gorden and Breach. 1969. V. Koremuan. Ann. Phys. (X. Y.), 39(1966), 72. V. L. Berezinskii, JETP, 26(1968), 137. G. Niklasson and A. Sjlander, Ann. Phys., (N. Y.), 49(1968).249. 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 (I970), 683. C. Garuli, R. Combescot. P. Nozieres. D. Saint-James, J. Phys., C4 (1971). 916.[4] A. Hall, Moleculur Phys., 28 (1974), 1; J. Phys., A8 (1974), 214.[5] K. Symanzih, Commun. Math. Pgys., 23 (1971)，49. C. G. Callan. Phys. Rev., D5 (1972), 3202.[6] G. 't Hooft, Nucl. Phys., B61 (1973), 455. J. C. Collins and A. J. Macfarlane, Phys Rev., D10 (1974), 1210. W. S. Weinberg. Phys. Rev., D8 (1973), 3497.

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ZHOU GUANG-ZHAO and SU ZHAO-BING. RENORMALIZATION OF THE CLOSED TIME PATH GREEN'S FUNCTIONS IN NON-EQULIBRIUM STATISTICAL FIELD THEORY[J]. Chinese Physics C, 1979, 3(3): 304-313.

ZHOU GUANG-ZHAO and SU ZHAO-BING. RENORMALIZATION OF THE CLOSED TIME PATH GREEN'S FUNCTIONS IN NON-EQULIBRIUM STATISTICAL FIELD THEORY[J]. Chinese Physics C, 1979, 3(3): 304-313. 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

RENORMALIZATION OF THE CLOSED TIME PATH GREEN'S FUNCTIONS IN NON-EQULIBRIUM STATISTICAL FIELD THEORY

Received Date: 1979-01-24

Accepted Date: 1900-01-01

Available Online: 1979-06-05

Abstract: The problem of renormalization of the closed time path Green's function in non-equlibrium statistical field theory is studied.Under some reasonable assumptionson the high energy behavior of the initial correlation functions,it is found that thesame counter terms,which eliminate the ultraviolet divergences in the usual fieldtheory,can also make the closed time path Green's functions free of ultraviolet di-vergences.The renormalization group equation satisfied by the closed time pathvertex functions is obtained and the Callan-Symanzik coefficient functions are shownto be the same as in the usual field theory.

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RENORMALIZATION OF THE CLOSED TIME PATH GREEN'S FUNCTIONS IN NON-EQULIBRIUM STATISTICAL FIELD THEORY

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