2011/12/21 by V. Skokov · 6 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Crossover #Curvature #Geometry #High-Energy Particle Collisions Research #Ising model #Lattice (music) #Magnetic field #Mathematics #Mean field theory #Particle physics theoretical and experimental studies #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Tricritical point #hep-ph
paper · pdf · doi:10.1103/physrevd.85.034026
8 pages, 5 figures
arxiv created 2011/12/21 · arxiv updated 2013/05/29
The phase structure of the Polyakov loop-extended chiral quark-meson model is explored in a nonperturbative approach, beyond a mean-field approximation, in the presence of a magnetic field. We show that by including meson fluctuations one cannot resolve the qualitative discrepancy on the dependence of the crossover transition temperature in a nonzero magnetic field between effective model predictions and recent lattice results [1]. We compute the curvature of the crossover line in the T\ensuremath-\ensuremathμB plane at a nonzero magnetic field and show that the curvature increases with increasing magnetic field. On the basis of QCD inequalities, we also argue that, at least in the large Nc limit, a chiral critical end point and, consequently, a change from crossover to a first-order chiral phase transition are excluded at zero baryon chemical potential and nonzero magnetic field.