Interacting Boson System at Finite Temperatures: The treatment of the lattice QCD results
Abstract
We study an interacting relativistic system of charged bosons at finite temperature and fixed isospin density within a thermodynamically consistent mean-field approach. The interaction is represented by repulsive phi-4 and phi-6 self-interactions, which generate a density-dependent effective mass of the bosonic quasiparticles. We formulate the thermodynamics in the Extended Canonical Ensemble, obtained from the grand canonical description by a Legendre transformation from the isospin chemical potential to the conserved isospin density. In the condensed phase the chemical potential is constrained by the Bose-condensation condition and is therefore determined self-consistently through the effective mass. We apply the formalism to a pion-like system at finite isospin and clarify the relation between the isospin chemical-potential conventions used for pion and quark degrees of freedom. Using the convention adopted in lattice-QCD calculations, we compare the pressure, isospin density, energy density, and trace anomaly with lattice results at T=120 MeV. With one constant fitted to the lattice pressure, each model reproduces the lattice isospin density, energy density, and trace anomaly. Both the phi-4 and phi-6 models reproduce the main features of the lattice data, with the phi-6 interaction providing the better description. The Extended Canonical Ensemble provides a convenient framework for treating interacting particle-antiparticle systems across the transition to the Bose-condensed phase.
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BibTeX
@misc{anchishkin2026interacting,
title = {{Interacting Boson System at Finite Temperatures: The treatment of the lattice QCD results}},
author = {D. Anchishkin and V. Gnatovskyy and D. Zhuravel and V. Karpenko},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06697},
eprint = {2611.06697},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06697},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Interacting Boson System at Finite Temperatures: The treatment of the lattice QCD results
AU - D. Anchishkin
AU - V. Gnatovskyy
AU - D. Zhuravel
AU - V. Karpenko
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06697
UR - https://arxiv.org/abs/2611.06697
AB - We study an interacting relativistic system of charged bosons at finite temperature and fixed isospin density within a thermodynamically consistent mean-field approach. The interaction is represented by repulsive phi-4 and phi-6 self-interactions, which generate a density-dependent effective mass of the bosonic quasiparticles. We formulate the thermodynamics in the Extended Canonical Ensemble, obtained from the grand canonical description by a Legendre transformation from the isospin chemical potential to the conserved isospin density. In the condensed phase the chemical potential is constrained by the Bose-condensation condition and is therefore determined self-consistently through the effective mass. We apply the formalism to a pion-like system at finite isospin and clarify the relation between the isospin chemical-potential conventions used for pion and quark degrees of freedom. Using the convention adopted in lattice-QCD calculations, we compare the pressure, isospin density, energy density, and trace anomaly with lattice results at T=120 MeV. With one constant fitted to the lattice pressure, each model reproduces the lattice isospin density, energy density, and trace anomaly. Both the phi-4 and phi-6 models reproduce the main features of the lattice data, with the phi-6 interaction providing the better description. The Extended Canonical Ensemble provides a convenient framework for treating interacting particle-antiparticle systems across the transition to the Bose-condensed phase.
ER -