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Main Authors: Becattini, Francesco, Roselli, Daniele, Sheng, Xin-Li
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.24994
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author Becattini, Francesco
Roselli, Daniele
Sheng, Xin-Li
author_facet Becattini, Francesco
Roselli, Daniele
Sheng, Xin-Li
contents We present an \emph{ab initio} calculation within quantum statistical field theory and linear response theory, of the dissipative correction to the momentum spectrum of scalar particles emitted at decoupling (freeze-out) from a relativistic fluid assuming the initial state to be in local thermodynamic equilibrium. We obtain an expansion of the Wigner function of the interacting quantum field in terms of the gradients of the classical thermo-hydrodynamic fields - four-temperature vector and reduced chemical potential - evaluated on the initial local-equilibrium hypersurface, rather than on the decoupling (freeze-out) hypersurface as usual in kinetic theory. The gradient expansion includes an unexpected zeroth order term depending on the differences between thermo-hydrodynamic fields at the decoupling and the initial hypersurface. This term encodes a memory of the initial state which is related to the long-distance persistence of the correlation function between Wigner operator and stress-energy tensor and charged current that is discussed in detail. We address the phenomenological implications of these corrections for the momentum spectra measured in relativistic nuclear collisions.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24994
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dissipative corrections to the particle momentum spectrum of a decoupling fluid
Becattini, Francesco
Roselli, Daniele
Sheng, Xin-Li
Nuclear Theory
Statistical Mechanics
High Energy Physics - Theory
We present an \emph{ab initio} calculation within quantum statistical field theory and linear response theory, of the dissipative correction to the momentum spectrum of scalar particles emitted at decoupling (freeze-out) from a relativistic fluid assuming the initial state to be in local thermodynamic equilibrium. We obtain an expansion of the Wigner function of the interacting quantum field in terms of the gradients of the classical thermo-hydrodynamic fields - four-temperature vector and reduced chemical potential - evaluated on the initial local-equilibrium hypersurface, rather than on the decoupling (freeze-out) hypersurface as usual in kinetic theory. The gradient expansion includes an unexpected zeroth order term depending on the differences between thermo-hydrodynamic fields at the decoupling and the initial hypersurface. This term encodes a memory of the initial state which is related to the long-distance persistence of the correlation function between Wigner operator and stress-energy tensor and charged current that is discussed in detail. We address the phenomenological implications of these corrections for the momentum spectra measured in relativistic nuclear collisions.
title Dissipative corrections to the particle momentum spectrum of a decoupling fluid
topic Nuclear Theory
Statistical Mechanics
High Energy Physics - Theory
url https://arxiv.org/abs/2512.24994