QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model *

2020/01/31 by Xuanmin Cao, Hui Liu, Danning Li +1 · 1 citation
Physics and Astronomy · #Boson #Critical exponent #Critical phenomena #High-Energy Particle Collisions Research #Isospin #Massless particle #Phase boundary #Phase diagram #Phase transition #Pion #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1088/1674-1137/44/8/083106

11 pages, 6 figures

openalex created_date 2020/01/23 · arxiv created 2020/02/07 · openalex publication_date 2020/07/31 · arxiv updated 2020/08/26 · openalex updated_date 2026/08/05

Abstract

Abstract We study the phase transition between the pion condensed phase and normal phase, as well as chiral phase transition in a two flavor ( <?CDATA \calN_f=2?> ) IR- improved soft-wall AdS/QCD model at finite isospin chemical potential <?CDATA μ_I?> and temperature T . By self-consistently solving the equations of motion, we obtain the phase diagram in the plane of <?CDATA μ_I?> and T . The pion condensation appears together with a massless Nambu-Goldstone boson <?CDATA m_π1(T_c, μ_I^c)=0?> , which is very likely to be a second-order phase transition with mean-field critical exponents in the small <?CDATA μ_I?> region. When <?CDATA T=0?> , the critical isospin chemical potential approximates to vacuum pion mass <?CDATA μ_I^c ≈ m₀?> . The pion condensed phase exists in an arched area, and the boundary of the chiral crossover intersects the pion condensed phase at a tri-critical point. Qualitatively, the results are in good agreement with previous studies on lattice simulations and model calculations.

Citations

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• Fermionic and bosonic fluctuation-dissipation theorem from a deformed AdS holographic model at finite temperature and chemical potential