Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop

Andersen, Jens O.; Naylor, William; Tranberg, Anders

doi:10.1007/jhep04(2014)187

Cited by 60 publications

(63 citation statements)

References 88 publications

(137 reference statements)

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“…There are also a number of effective model studies that take into account the effects of the Polyakov loop on the dynamics of chiral symmetry breaking in a magnetic field background [75][76][77][78][79][80][81][82]. There was also an attempt to explain the inverse magnetic catalysis using a bag model [326].…”

Section: Overview Of Lattice Results: Catalysis Inverse Catalysis Anmentioning

confidence: 98%

“…The realization of magnetic catalysis was investigated in chiral perturbation theory [95][96][97][98][99][100][101] and in models with the Yukawa interaction [102][103][104][105]. The mechanism of the magnetic catalysis is supported by the arguments of the renormalization group [80,[106][107][108][109][110][111][112].…”

Section: Magnetic Catalysismentioning

confidence: 99%

“…The model-independent nature of magnetic catalysis was tested in numerous (2 + 1)-and (3 + 1)-dimensional models with local four-fermion interactions [34][35][36], as well in d > 3 spatial dimensions [74] and in models with additional gauge interactions [56] and Polyakov loop effects [75][76][77][78][79][80][81][82], N = 1 supersymmetric models [83], quark-meson models [84][85][86][87][88][89][90], models in curved space [91][92][93][94]. The realization of magnetic catalysis was investigated in chiral perturbation theory [95][96][97][98][99][100][101] and in models with the Yukawa interaction [102][103][104][105].…”

Section: Magnetic Catalysismentioning

confidence: 99%

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Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

2015

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a b s t r a c tA range of quantum field theoretical phenomena driven by external magnetic fields and their applications in relativistic systems and quasirelativistic condensed matter ones, such as graphene and Dirac/Weyl semimetals, are reviewed. We start by introducing the underlying physics of the magnetic catalysis. The dimensional reduction of the low-energy dynamics of relativistic fermions in an external magnetic field is explained and its role in catalyzing spontaneous symmetry breaking is emphasized. The general theoretical consideration is supplemented by the analysis of the magnetic catalysis in quantum electrodynamics, chromodynamics and quasirelativistic models relevant for condensed matter physics. By generalizing the ideas of the magnetic catalysis to the case of nonzero density and temperature, we argue that other interesting phenomena take place. The chiral magnetic and chiral separation effects are perhaps the most interesting among them. In addition to the general discussion of the physics underlying chiral magnetic and separation effects, we also review their possible phenomenological implications in heavy-ion collisions and compact stars. We also discuss the application of the magnetic catalysis ideas for the description of the quantum Hall effect in monolayer and bilayer graphene, and conclude that the generalized magnetic catalysis, including both the magnetic catalysis condensates and the quantum Hall ferromagnetic ones, lies at the basis of this phenomenon. We also consider how an external magnetic field affects the underlying physics in a class of three-dimensional quasirelativistic condensed matter systems, Dirac semimetals. While at sufficiently low temperatures and zero density of charge carriers, such semimetals are expected to reveal the regime of the magnetic catalysis, the regime of Weyl semimetals with chiral asymmetry is realized at nonzero density. Finally, we discuss the interplay between relativistic quantum field theories (including quantum electrodynamics and quantum chromodynamics) in a magnetic field and noncommutative field theories, which leads to a new type of the latter, nonlocal noncommutative field theories.

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Section: Overview Of Lattice Results: Catalysis Inverse Catalysis Anmentioning

confidence: 98%

Section: Magnetic Catalysismentioning

confidence: 99%

Section: Magnetic Catalysismentioning

confidence: 99%

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Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

2015

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“…For a review in recent advances in the understanding of the phase diagram in the presence of strong magnetic fields at zero quark chemical potentials see [22].…”

Section: Introductionmentioning

confidence: 99%

Influence of the inverse magnetic catalysis and the vector interaction in the location of the critical end point

et al. 2015

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The effect of a strong magnetic field on the location of the critical end point (CEP) in the QCD phase diagram is discussed under different scenarios. In particular, we consider the contribution of the vector interaction and take into account the inverse magnetic catalysis obtained in lattice QCD calculations at zero chemical potential. The discussion is realized within the (2 þ 1) Polyakov-Nambu-Jona-Lasinio model. It is shown that the vector interaction and the magnetic field have opposite competing effects, and that the winning effect depends strongly on the intensity of the magnetic field. The inverse magnetic catalysis at zero chemical potential has two distinct effects for magnetic fields above ≳0.3 GeV 2 : it shifts the CEP to lower chemical potentials, hinders the increase of the CEP temperature and prevents a too large increase of the baryonic density at the CEP. For fields eB < 0.1 GeV 2 the competing effects between the vector contribution and the magnetic field can move the CEP to regions of temperature and density in the phase diagram that could be more easily accessible to experiments.

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“…In the context of quark-meson (QM) models no qualitative agreement with the lattice is obtained [32], even if we include the Polyakov loop (PQM) with T 0 = T 0 (B). More refinements in QM where implemented and the model has no IMC [33].…”

Section: Introductionmentioning

confidence: 99%

The role of asymptotic freedom for the pseudocritical temperature in magnetized quark matter

Farias

Gomes

Krein

et al. 2015

J. Phys.: Conf. Ser.

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Abstract.Motivated by discrepancies observed between lattice QCD simulations and quark models regarding the behavior of the pseudo critical temperature for chiral symmetry restoration as a function of the magnetic field B, we investigate the effects of a running the quark coupling constant G with temperature T and the magnetic field B in the context of the Nambu-JonaLasinio model(NJL). Our point that when asymptotic freedom, an essential feature of QCD and absent in the model, is included through a running of G with T and B results from the NJL model can be brought in qualitative agreement with lattice QCD simulations. IntroductionRecently much effort has been devoted to the understanding of the effects produced by a magnetic field in the phase diagram of Quantum Chromodynamics (QCD). The motivation is due to the fact that strong magnetic fields may be produced in non central heavy ion collisions [1,2,3,4]. Other scenarios that strong magnetic fields are also important are in the phenomenology of stars, in particular in magnetars [5,6], and in the physics of the early universe [7]. Lattice QCD simulations [8,9] predict that at zero baryon density and zero magnetic field there is a crossover transition at a pseudo critical temperature T pc . More recent lattice simulations show that this crossover persists if we include the effects of external strong magnetic fields [10,11,12,13]. At zero temperature the lattice results confirm the existence of the phenomenon of magnetic catalysis (MC) [14,15,16], where the chiral order parameter is enhanced with the increase of the magnetic field. At finite temperature, lattice results are in agreement with effective models [17,18,19,20,21]. However, recent lattice results of Refs. [12,13], that consider physical values of quark masses, predict an inverse magnetic catalysis (IMC), in that the pseudo critical temperature T pc for the crossover decrease with B, in total disagreement with all effective model calculations in the literature [17,18,19,22,23,24].Many efforts have been dedicated to understand the disagreement between lattice and models in the behavior of T pc with B; see e.g. Refs. [25,26,34,27]. Very sophisticated versions of quark

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Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop

Cited by 60 publications

References 88 publications

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

Influence of the inverse magnetic catalysis and the vector interaction in the location of the critical end point

The role of asymptotic freedom for the pseudocritical temperature in magnetized quark matter

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