Thermoelectric coefficients of two-flavor quark matter from the Kubo formalism

Fuente: arXiv
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Auteurs principaux: Gabuzyan, Harutyun, Harutyunyan, Arus, Sedrakian, Armen
Format: Preprint
Publié: 2025
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author Gabuzyan, Harutyun
Harutyunyan, Arus
Sedrakian, Armen
author_facet Gabuzyan, Harutyun
Harutyunyan, Arus
Sedrakian, Armen
contents The hot quark matter created in heavy-ion collision experiments can exhibit strong temperature and chemical-potential gradients, which in turn can generate electric fields through thermoelectric effects. In this work, we investigate two relevant thermoelectric coefficients -- the thermopower (Seebeck coefficient) and the Thomson coefficient -- of two-flavor quark matter using the Kubo formalism and the Nambu--Jona-Lasinio model as an effective description of dense, finite-temperature QCD. The required two-point equilibrium correlation functions are evaluated using the Matsubara formalism of thermal field theory, applying a 1/Nc expansion to the relevant multi-loop Feynman diagrams. We employ previously derived quark spectral functions obtained from one--meson-exchange diagrams above the Mott transition temperature. Our numerical results show that both thermoelectric coefficients increase approximately linearly with temperature and decrease with increasing chemical potential. We also estimate the magnitude of the electric fields that can be generated in heavy-ion collisions by thermal gradients via the Seebeck effect.
format Preprint
id arxiv_https___arxiv_org_abs_2512_02602
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Thermoelectric coefficients of two-flavor quark matter from the Kubo formalism
Gabuzyan, Harutyun
Harutyunyan, Arus
Sedrakian, Armen
Nuclear Theory
High Energy Astrophysical Phenomena
High Energy Physics - Phenomenology
The hot quark matter created in heavy-ion collision experiments can exhibit strong temperature and chemical-potential gradients, which in turn can generate electric fields through thermoelectric effects. In this work, we investigate two relevant thermoelectric coefficients -- the thermopower (Seebeck coefficient) and the Thomson coefficient -- of two-flavor quark matter using the Kubo formalism and the Nambu--Jona-Lasinio model as an effective description of dense, finite-temperature QCD. The required two-point equilibrium correlation functions are evaluated using the Matsubara formalism of thermal field theory, applying a 1/Nc expansion to the relevant multi-loop Feynman diagrams. We employ previously derived quark spectral functions obtained from one--meson-exchange diagrams above the Mott transition temperature. Our numerical results show that both thermoelectric coefficients increase approximately linearly with temperature and decrease with increasing chemical potential. We also estimate the magnitude of the electric fields that can be generated in heavy-ion collisions by thermal gradients via the Seebeck effect.
title Thermoelectric coefficients of two-flavor quark matter from the Kubo formalism
topic Nuclear Theory
High Energy Astrophysical Phenomena
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2512.02602