2017
DOI: 10.1007/jhep10(2017)038
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A universal order parameter for Inverse Magnetic Catalysis

Abstract: We revisit the chiral transition in the finite density Sakai-Sugimoto model and find that, at fixed temperature T , the magnetisation near the critical line µ c (B) acts as an order parameter to distinguish Inverse Magnetic Catalysis from Magnetic Catalysis. Moreover, we propose a universal relation between µ c (B) and the magnetisation that allows us to predict the behaviour of the former from the behaviour of the latter. We find that a similar relation holds, at fixed chemical potential µ, for the critical l… Show more

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Cited by 36 publications
(23 citation statements)
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“…In order to do so we defined the quantity "anisotropic susceptibility" in analogy to the magnetic susceptibility. This susceptibility was then identified as a natural order parameter, similar to what was done in [45,47] for the magnetic case. We then obtained a relation between the critical temperature of the first order transition and the anisotropic susceptibility in Eq.…”
Section: Discussionmentioning
confidence: 91%
See 1 more Smart Citation
“…In order to do so we defined the quantity "anisotropic susceptibility" in analogy to the magnetic susceptibility. This susceptibility was then identified as a natural order parameter, similar to what was done in [45,47] for the magnetic case. We then obtained a relation between the critical temperature of the first order transition and the anisotropic susceptibility in Eq.…”
Section: Discussionmentioning
confidence: 91%
“…The gauge/gravity duality is established as a powerful theoretical tool to study especially the qualitative aspects of a large class of strongly-coupled gauge theories in a completely nonperturbative manner. Several works have already approached the problem of the dependence of the condensate on the magnetic field in the holographic context, including [39][40][41][42][43][44][45][46][47][48][49][50][51]. In [45], in particular, the authors gave a heuristic explanation of the IMC inspired by the aforementioned competition between the valence v.s the sea quarks but translated in the gravity language.…”
Section: )mentioning
confidence: 99%
“…There are also some other works on chiral phase transition in holographic QCD [67][68][69][70][71][72]. Studies on QCD phase transitions under magnetic fields can be referred to [73][74][75][76][77][78]. As the chiral phase transition is related to the chiral dynamics of QCD, a satisfying holographic description of chiral transition should combine with other important low-energy properties of hadron physics, in which the chiral symmetry breaking plays a dominant role.…”
Section: Introductionmentioning
confidence: 99%
“…Now using eqs. (23), (25) and (26) and considering a plane wave solution with momentum p = (ω, 0, 0, p 3 ), the previous equation forσ L becomes…”
Section: Spectral Functionmentioning
confidence: 99%