UAHEP-959

Microcanonical Field Dynamics
4 September 1995

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Abstract

We formulate Statistical Mechanics in the microcanonical ensemble in terms of field theoretic language. As in the (grand) canonical formalism of Thermo Field Dynamics, statistical averages of observables are expressed in terms of vacuum expectation values. The operator structure of this formalism, which we call Microcanonical Field Dynamics (MFD), is canonical and is very similar to Thermo Field Dynamics. We develop the formalism in terms of perturbation theory and functional methods. We obtain the propagator matrix for bosons and fermions and discuss renormalization in the context of the simple "lambda-phi-4" model. The formalism is most useful when applied to systems for which equilibrium phases other than thermal equilibrium appear, such as in strings, p-branes, black holes, etc.. It is further useful in the study of fluctuations away from thermal equilibrium. The condition for the equivalence of Microcanonical and Thermo Field Dynamics is also discussed.

Copyright © 1995 Yvan Leblanc. All rights reserved

PACS: 05.30.Ch, 03.70.+k, 11.10.Gh

Cite as: Leblanc, Y., "Microcanonical Field Dynamics", U. of Alabama preprint UAHEP-959 (1995). http://www.efieldtheory.com/abs/?UAHEP-959; doi:10.13140/RG.2.1.2178.8001.