eFTC-131201

Tilde Fields in Thermo Field Dynamics are Many-Body Physical Holes
17 December 2013
(Updated december 31, 2013)

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Abstract

In this paper, we succeed in finding the long sought after physical interpretation of the so-called tilde fields in Thermo Field Dynamics (TFD). In the context of the many-body ground state theory of non-relativistic fermions, we derive the exact relationship between the tilde operators and the physical particle and hole operators of the theory. Consequently, the ab-initio doubling of the degrees of freedom of zero temperature field theory to mathematically reproduce the trace operation of Statistical Mechanics is equivalent to the usual canonical transformation to particles and holes of many-body theory. The physical consequences of this identification are discussed.

Copyright © 2013 Yvan Leblanc. All rights reserved

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

Cite as: Leblanc, Y., "Tilde Fields in Thermo Field Dynamics are Many-Body Physical Holes", manuscript no. eFTC-131201 (2013). http://www.efieldtheory.com/abs/?eFTC-131201; doi:10.13140/RG.2.1.4538.0962.