eFTC-150401

Microcanonical KMS Conditions and Propagators for Small (Finite) Systems
24 April 2015

Back to previous page !

Abstract

A straightforward calculation of the Kubo-Martin-Schwinger (KMS) conditions for small (finite) systems is presented in the microcanonical ensemble for stable or unstable constituents. Such conditions are also known as statistical state conditions in Statistical Field Dynamics (SFD) as well as thermal state conditions in equilibrium (TFD) or non-equilibrium Thermo Field Dynamics (NETFD). Contrary to the case of the large (thermodynamical) systems, the small systems KMS conditions do not define the vacuum (many-body ground state) but rather provide relations between neighboring statistical ground states in terms of entropy changes. Large systems results are recovered in the thermodynamical limit, when the limit exists. We discuss the implications on particle propagators and leave the analysis on perturbation theory to future research.

Copyright © 2015 Yvan Leblanc. All rights reserved

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

Cite as: Leblanc, Y., "Microcanonical KMS Conditions and Propagators for Small (Finite) Systems", manuscript no. eFTC-150401 (2015). http://www.efieldtheory.com/abs/?eFTC-150401; doi:10.13140/RG.2.1.2309.8726.