eFTC-200901

Biorthogonal Statistical Field Dynamics
8 September 2020

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Abstract

We reformulate the Statistical Field Dynamics (SFD) formalism in a biorthogonal setting suitable for Gamow wavefunctions and ladder operators, thus resolving difficulties of the earlier version of the theory with regards to the normalization of the Gamow states describing unstable physical quasi-particles. The present biorthogonal approach requires however adjusting the definition of the statistical vacuum as well as the associated bra and ket KMS conditions. Canonical transformation to particles and holes is also discussed and a simple non-equilibrium field theoretical interacting model is re-analyzed as a working example for the new biorthogonal formulation. This formalism can be applied to Gamow nuclear shell models, alpha or cluster condensation models in nuclei, Bose-Einstein condensation (BEC) models in trapped atomic gases as well as multifragmentation models in heavy ions collisions.

Copyright © 2020 Yvan Leblanc. All rights reserved

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

Cite as: Leblanc, Y., "Biorthogonal Statistical Field Dynamics", manuscript no. eFTC-200901 (2020). http://www.efieldtheory.com/abs/?eFTC-200901; doi:10.13140/RG.2.2.34729.62562.