QCD phase diagram in a magnetic background for different values of the pion mass
arXiv:1808.07008 · doi:10.1103/PhysRevD.98.054509
Abstract
We investigate the behavior of the pseudo-critical temperature of QCD as a function of a static magnetic background field for different values of the pion mass, going up to MeV. The study is performed by lattice QCD simulations, adopting a stout staggered discretization of the theory on lattices with slices in the Euclidean temporal direction; for each value of the pion mass the temperature is changed moving along a line of constant physics. We find that the decrease of as a function of , which is observed for physical quark masses, persists in the whole explored mass range, even if the relative variation of appears to be a decreasing function of , approaching zero in the quenched limit. The location of is based on the renormalized quark condensate and its susceptibility; determinations based on the Polyakov loop lead to compatible results. On the contrary, inverse magnetic catalysis, i.e. the decrease of the quark condensate as a function of in some temperature range around , is not observed when the pion mass is high enough. That supports the idea that inverse magnetic catalysis might be a secondary phenomenon, while the modifications induced by the magnetic background on the gauge field distribution and on the confining properties of the medium could play a primary role in the whole range of pion masses
arXiv comment13 pages, 15 figures
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