On Thermofield Bosonization for the Thirring Model, Tilde Conjugation Rules, and Thermofield Vacuum Averages

Korenblit, S. É.; Semenov, V. V.

doi:10.1007/s11182-013-9915-9

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Jhep09(2022)1231

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2022

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“…On the other hand, less attention has been paid to the thermal representations of the Thirring model [12,[25][26][27][28][29] in comparison with the Luttinger liquids; furthermore, the relevant features have been somehow buried in irrelevant technical complications; examples are the introduction of fictitious chemical potentials to tame the infrared divergences which at a first glance may seem to be worse than in vacuo or the redundancy of the so called thermofield formalism.…”

Section: Jhep09(2022)123mentioning

confidence: 99%

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

Epstein

Moschella

2022

J. High Energ. Phys.

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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.

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