4 × 4-matrix transformation for systems with spontaneous symmetry breakdown and self-consistent renormalization in nonequilibrium Thermo Field Dynamics

T. Oyama, Y. Nakamura and Y. Yamanaka

Physica A: Statistical Mechanics and its Applications, 2022, vol. 591, issue C

Abstract: This study aims to construct a theoretical formulation of a nonequilibrium process for a system of Bose–Einstein condensate associated with a spontaneous symmetry breakdown. For this, Thermo Field Dynamics is used. We then describe the most general forms of a 4 × 4-matrix transformation and an unperturbed Hamiltonian. After calculating the 4 × 4-matrix self-energy and identifying its on-shell, we impose the renormalization condition in which the entire on-shell self-energy should vanish. This condition provides a sufficient number of independent equations to determine all of the parameters in an unperturbed Hamiltonian, among which the quantum transport equations for normal and anomalous number distributions are included.

Keywords: Nonequilibrium; Quantum field theory; Thermo Field Dynamics; Renormalization; Quantum transport equation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:591:y:2022:i:c:s0378437121009389

DOI: 10.1016/j.physa.2021.126732

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