1996/12/12 by T. Kopf, A. E. Santana, F. C. Khanna
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Classical mechanics #Dynamics (music) #Field (mathematics) #Mathematics #Physics #Pure mathematics #Quantum many-body systems #Statistical physics #Thermal #Thermodynamics #hep-th
paper · pdf · doi:10.1063/1.531928
published as J.Math.Phys.38:4971-4979,1997 · 9 pages, AMS-LaTeX
arxiv created 1996/12/12 · openalex publication_date 1997/10/01 · arxiv updated 2010/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In thermal field dynamics, thermal states are obtained from restrictions of vacuum states on a doubled field algebra. It is shown that the suitably doubled Fock representations of the Heisenberg algebra do not need to be introduced by hand but can be canonically handed down from deformations of the extended Heisenberg bialgebra. No artificial redefinitions of fields are necessary to obtain the thermal representations and the case of arbitrary dimension is considered from the beginning. Our results support a possibly fundamental role of bialgebra structures in defining a general framework for thermal field dynamics.