Kinks versus fermions or the 2D sine-Gordon versus massive Thirring models, at nonzero temperature and chemical potential

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dc.creatorNicola, A. Gomez
dc.creatorRivers, R. J.
dc.creatorSteer, D. A.
dc.date1998-09-11
dc.date1998-10-30
dc.date.accessioned2026-07-07T04:25:04Z
dc.date.available2026-07-07T04:25:04Z
dc.descriptionWe study bosonisation in the massive Thirring and sine-Gordon models at finite temperature and nonzero fermion chemical potential. Both canonical operator and path integral approaches are used to prove the equality of the partition functions of the two models at finite $T$ and zero chemical potential, as it has been recently shown. This enables the relationship between thermal normal ordering and path-integral renormalisation to be specified. Furthermore, we prove that thermal averages of zero-charge operators can also be identified. At nonzero chemical potential and temperature we show, in perturbation theory around the massless case, that the bosonised theory is the sine-Gordon model plus an additional topological term, accounting for the existence of zero charge excitations (the fermions or the kinks) in the thermal bath. This result is the 2D version of the low-energy lagrangian at finite baryon density.
dc.description10 pages RevTex, Proceedings of the 5th International Workshop on Thermal Field Theories and their application, Regensburg, Germany, August 10-14, 1998
dc.identifierhttps://arxiv.org/abs/hep-th/9809080
dc.identifierhttp://arxiv.org/abs/hep-th/9809080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55646
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleKinks versus fermions or the 2D sine-Gordon versus massive Thirring models, at nonzero temperature and chemical potential
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