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SUMMARY:Interacting Relativistic Bosons at Finite Temperatures:  Compariso
 n with Lattice QCD
DTSTART;VALUE=DATE-TIME:20260922T133500Z
DTEND;VALUE=DATE-TIME:20260922T134000Z
DTSTAMP;VALUE=DATE-TIME:20260914T053221Z
UID:indico-contribution-564@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Denys Zhuravel (Bogolyubov Institute for Theoretical
  Physics of the National Academy of Sciences of Ukraine)\nWe study an inte
 racting relativistic system of charged bosons at finite temperature and fi
 xed isospin density within a thermodynamically consistent mean-field appro
 ach. Two forms of repulsive self-interaction\, $φ^4$ and $φ^6$\, are con
 sidered. The interactions lead to a density-dependent effective mass $M$ o
 f the bosonic quasiparticles and an associated excess-pressure contributio
 n. The thermodynamics is formulated in the Extended Canonical Ensemble\, o
 btained from the grand canonical description by a Legendre transformation 
 from the isospin chemical potential to the conserved isospin density. This
  formulation is particularly useful in the Bose-condensed phase\, where th
 e isospin chemical potential is constrained by the condensation condition\
 , $μI = M$\, and must be determined self-consistently.\nThe formalism is 
 applied to a pion-like system at finite isospin density and compared with 
 lattice-QCD results. We discuss the difference between the isospin chemica
 l-potential conventions used for pion and quark degrees of freedom and ado
 pt the convention in which the condensation threshold is $μI = mπ/2$. At
  $T = 122$ MeV\, the pressure\, isospin density\, energy density\, and tra
 ce anomaly are compared with lattice data. Both the $φ^4$ and $φ^6$ mode
 ls reproduce the main features of the lattice results\, with the φ6 inter
 action providing a better overall description. The results demonstrate tha
 t the Extended Canonical Ensemble provides a consistent framework for desc
 ribing interacting particle-antiparticle systems across the transition fro
 m the thermal to the Bose-condensed phase. \n\nThis work was funded by Nat
 ional Research Foundation of Ukraine grant 2025.07/0461.\n\nhttps://indico
 .bitp.kiev.ua/event/18/contributions/564/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/564/
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