General Unitary SU(1,1) TFD Formulation
M. C. B. Abdalla, A. L. Gadelha
TL;DR
This paper generalizes the thermal Bogoliubov transformation within the SU(1,1) framework, redefining tilde conjugation rules using Tomita-Takesaki modular theory to enhance the theoretical foundation of thermal field dynamics.
Contribution
It introduces a hermitian SU(1,1) transformation generator and redefines tilde conjugation rules with modular operators, extending the theoretical structure of Thermo Field Dynamics.
Findings
Generalized thermal Bogoliubov transformation for SU(1,1)
Redefined tilde conjugation rules using modular operators
Enhanced theoretical consistency of TFD
Abstract
In this work we discuss a generalization for the thermal Bogoliubov transformation in the context of a hermitian general SU(1,1) transformation generator. The TFD tilde conjugation rules are redefined using an appropriated Tomita-Takesaki modular operator.
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