Covariant operator formalism of gauge theories and its extension to finite temperature
On the basis of “thermo field dynamics” allowing the application of the Feynman diagram method to real-time Green's functions at T≠0°K, a field-theoretical formulation of finite-temperature gauge theory is presented. It is an extension of the covariant operator formalism of gauge theory based upon the BRS invariance: The subsidiary condition specifying physical states, the notion of observables, and the structure of the physical subspace at finite temperatures are clarified together with the key formula characterizing the temperature-dependent “vacuum”.
KeywordsGauge Theory Finite Temperature Negative Norm Bogoliubov Transformation Physical Subspace
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- 1.Y. Takahashi and H. Umezawa, Collective Phenom. 2, 55 (1975); H. Umezawa, H. Matsumoto and M. Tachiki, “Thermo Field Dynamics and Condensed States,” NorthHolland, Amsterdam/New York/Oxford, 1982.Google Scholar
- 2.I. Ojima, Ann. Phys. 137, 1 (1981).Google Scholar
- 3.T. Kugo and I. Ojima, Suppl. Prog. Theor. Phys. No.66 (1979).Google Scholar
- 4.R. Kubo, J. Phys. Soc. Japan 12, 570 (1957); P. C. Martin and J. Schwinger, Phys. Rev. 115, 1342 (1959).Google Scholar
- 5.O. Bratteli and D. W. Robinson, “Operator Algebras and Quantum Statistical Mechanics”, Springer, Berlin/Heidelberg/New York, 1979.Google Scholar
- 6.R. Haag, N. M. Hugenholtz and M. Winnink, Comm. Math. Phys. 5, 215 (1967).Google Scholar
- 7.I. Ojima, Nucl. Phys. B143, 340 (1978); Z. Phys. C5, 227 (1980).Google Scholar
- 8.H. Hata and T. Kugo, Phys. Rev. D21, 3333 (1980).Google Scholar
- 9.C. Bernard, Phys. Rev. D9, 3312 (1974).Google Scholar
- 10.H. Matsumoto, I. Ojima and H. Umezawa, in preparation.Google Scholar
- 11.I. Ojima, unpablished.Google Scholar
- 12.W. Israel, Phys. Lett. 57A, 107 (1976).Google Scholar