The massless thermal field and the thermal fermion bosonization in two dimensions

A bstract We come back to the issue of bosonization of fermions in two spacetime dimension and give a new costruction in the steady state case where left and right moving particles can coexist at two different temperatures. A crucial role in our construction is played by translation invariant infrar...

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Bibliographic Details
Published in:The journal of high energy physics 2022-09, Vol.2022 (9), p.123-23, Article 123
Main Authors: Akhmedov, E., Epstein, H., Moschella, U.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Fermions
Field Theories in Lower Dimensions
High energy physics
Hilbert space
Integrable Field Theories
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
Steady state
String Theory
Thermal Field Theory
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Summary:A bstract We come back to the issue of bosonization of fermions in two spacetime dimension and give a new costruction in the steady state case where left and right moving particles can coexist at two different temperatures. A crucial role in our construction is played by translation invariant infrared states and the corresponding field operators which are naturally linked to the infrared behaviour of the correlation functions. We present two applications: a simple new derivation in the free relativistic case of a formula by Bernard and Doyon and a full operator solution of the massless Thirring model in the steady state case where the left and right movers have two distinct temperatures.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2022)123