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Title 
Critical endpoint and inverse magnetic catalysis for finite temperature and density quark matter in a magnetic background 

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Published in  Physics Letters. B. 2014, vol. 734, p. 255260  
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Open Access  SCOAP3 

Abstract  In this article we study chiral symmetry breaking for quark matter in a magnetic background, B , at finite temperature and quark chemical potential, μ , making use of the Ginzburg–Landau effective action formalism. As a microscopic model to compute the effective action we use the renormalized quark–meson model in the chiral limit. Our main goal is to study the evolution of the critical endpoint, <math altimg="si1.gif" xmlns="http://www.w3.org/1998/Math/MathML <mi mathvariant="script CP</mi></math> , as a function of the magnetic field strength, and investigate the realization of inverse magnetic catalysis at finite chemical potential. We find that the phase transition at zero chemical potential is always of the second order; for small and intermediate values of B , <math altimg="si1.gif" xmlns="http://www.w3.org/1998/Math/MathML <mi mathvariant="script CP</mi></math> moves towards small μ , while for larger B it moves towards moderately larger values of μ . Our results are in agreement with the inverse magnetic catalysis scenario at finite chemical potential and not too large values of the magnetic field, while at larger B direct magnetic catalysis sets in.  
Keywords  Chiral transition with finite magnetic background and chemical potential — Ginzburg–Landau effective action  
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Citation (ISO format)  RUGGIERI, M. et al. Critical endpoint and inverse magnetic catalysis for finite temperature and density quark matter in a magnetic background. In: Physics Letters. B, 2014, vol. 734, p. 255260. https://archiveouverte.unige.ch/unige:55792 