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Autores principales: Oevermann, Eric, Cohen, Thomas D.
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2605.07745
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author Oevermann, Eric
Cohen, Thomas D.
author_facet Oevermann, Eric
Cohen, Thomas D.
contents This paper determines the zero-temperature equation of state for the massive Thirring / sine-Gordon model. This demonstrates recently derived model-independent upper and lower bounds on the zero-temperature equation of state with fixed number density from systems with a non-zero current density. That approach is potentially valuable as Monte Carlo calculations with a current density avoid the sign problem in the Euclidean formulation. An advantage to illustrating these bounds in the massive Thirring / sine-Gordon model is that the relevant calculations with both a number density and a current density can be done using a Bethe ansatz. For this model, optimal bounds constrain the energy density as a function of number density by a factor of two from above and below at high densities for all choices of couplings. The lower bound becomes exact at low densities, while the upper bound approaches the worst constraint of a factor of 4.90.
format Preprint
id arxiv_https___arxiv_org_abs_2605_07745
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The massive Thirring / sine-Gordon model with non-zero current density
Oevermann, Eric
Cohen, Thomas D.
Nuclear Theory
High Energy Physics - Phenomenology
This paper determines the zero-temperature equation of state for the massive Thirring / sine-Gordon model. This demonstrates recently derived model-independent upper and lower bounds on the zero-temperature equation of state with fixed number density from systems with a non-zero current density. That approach is potentially valuable as Monte Carlo calculations with a current density avoid the sign problem in the Euclidean formulation. An advantage to illustrating these bounds in the massive Thirring / sine-Gordon model is that the relevant calculations with both a number density and a current density can be done using a Bethe ansatz. For this model, optimal bounds constrain the energy density as a function of number density by a factor of two from above and below at high densities for all choices of couplings. The lower bound becomes exact at low densities, while the upper bound approaches the worst constraint of a factor of 4.90.
title The massive Thirring / sine-Gordon model with non-zero current density
topic Nuclear Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.07745