It is demonstrated that the Ojima tilde-conjugation rules for the Fermi fields follow from the structure of thermofield vacuum as a coherent state for the group SU(2). The notion of hot and cold physical thermofields leads to a normal form of thermofield solutions for the Thirring model with correct properties of symmetry, anticommutation, renormalization, and superselection for their vacuum averages, thereby allowing representations over different vacua to be distinguished and relationships between different solutions at zero and finite temperatures to be established.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 31–39, September, 2012.
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Korenblit, S.É., Semenov, V.V. On Thermofield Bosonization for the Thirring Model, Tilde Conjugation Rules, and Thermofield Vacuum Averages. Russ Phys J 55, 1011–1021 (2013). https://doi.org/10.1007/s11182-013-9915-9
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DOI: https://doi.org/10.1007/s11182-013-9915-9