Phase diagram for charged scalars in a magnetic field at finite temperature

Ayala, Alejandro; Hernández, L. A.; Lopez, J. C.; Mizher, Ana Júlia; Rojas, J. C.; Villavicencio, C.

doi:10.1103/physrevd.88.036010

Cited by 10 publications

(13 citation statements)

References 49 publications

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“…2{qB)2k\ + ■ > 2 + k 2 + m2)3J (21) The sum and integrals in 7"^0 are perform ed by means of the M ellin sum m ation technique [23] with the result Figure 4 shows the Feynm an diagrams that contribute to this correction. We are interested in also com puting an effective value for this coupling, < 7eff, for v = 0, in the sam e m anner w e did for 2eff-The columns where F, represents the incoming momentum and mu d are the u-and d-quark masses, respectively.…”

Section: One-loop Thermomagnetic Couplingsmentioning

confidence: 99%

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Inverse magnetic catalysis in the linear sigma model with quarks

2015

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We compute the critical temperature for the chiral transition in the background of a magnetic field in the linear sigma model, including the quark contribution and the thermo-magnetic effects induced on the coupling constants at one loop level. We show that the critical temperature decreases as a function of the field strength. The effect of fermions on the critical temperature is small and the main effect on this observable comes from the charged pions. The findings support the idea that the anticatalysis phenomenon receives a contribution due only to quiral symmetry effects independent of the deconfinement transition.Comment: 8 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:1406.3885. Accepted for publication in Phys. Rev.

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Section: One-loop Thermomagnetic Couplingsmentioning

confidence: 99%

“…The explicit computation is carried out in the weak field limit, with the boson propagator given by Eq. (21) and the fermion propagator given by [24] SB(K,mf )…”

Section: One-loop Thermomagnetic Couplingsmentioning

confidence: 99%

Inverse magnetic catalysis in the linear sigma model with quarks

2015

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“…Nevertheless, the critical temperature and the order of this phase transition were not found in [13]. There is another group of papers [23,24] where the authors suggested that such a gas can condense if one goes beyond the naive oneloop approximation and takes into account the infrared enhanced contribution of the so-called ring diagrams [2,3,25,26].…”

Section: Introductionmentioning

confidence: 99%

One-loop thermodynamic potential of charged massive particles in a constant homogeneous magnetic field at high temperatures

Kalinichenko¹,

Kazinski²

2016

Phys. Rev. D

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The explicit expressions for the high-temperature expansions of the one-loop corrections to the omegapotential coming from charged scalar and Dirac particles and, separately, from antiparticles in a constant homogeneous magnetic field are derived. The explicit expressions for the non-perturbative corrections to the effective action at finite temperature and density are obtained. Thermodynamic properties of a gas of charged scalars in a constant homogeneous magnetic field are analyzed in the one-loop approximation. It turns out that, in this approximation, the system suffers a first-order phase transition from the diamagnetic to the superconducting state at sufficiently high densities. The improvement of the one-loop result by summing the ring diagrams is investigated. This improvement leads to a drastic change in thermodynamic properties of the system. The gas of charged scalars passes to the ferromagnetic state in place of the superconducting one at high densities and sufficiently low temperatures, in the high temperature regime. * Recall that the Lagrangian of the effective action L(1) ef f = −Ω (1) . In particular, it follows from (7), (8) that, in the high-temperature expansion of the total one-loop omega-potential, the vacuum contribution is canceled out by the analogous term in the omega-potential coming from real particles (for fermions in QED see [38] and for the general case see [27,28,32]).The following stability conditions are assumed in formulas (1), (7) and (8):

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“…We work with the hierarchy of scales where qB, m 2 i < T 2 . It is known that in order to properly implement this hierarchy [20] it is necessary to separate the contribution from the zero mode from the rest of the modes in Eq. (13).…”

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confidence: 99%

Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant

et al. 2014

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We compute the one-loop thermomagnetic corrections to the self-coupling in a model where charged scalars interact also with a constant magnetic field. The calculation is motivated by the possibility that the critical temperature for the chiral phase transition in a magnetic background can be influenced by the dependence of the coupling constant on the magnetic field. We show that the coupling decreases as a function of the field strength. This functional dependence introduces in turn a correction to the boson masses which causes the critical temperature to decrease as a function of the field strength.

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Phase diagram for charged scalars in a magnetic field at finite temperature

Cited by 10 publications

References 49 publications

Inverse magnetic catalysis in the linear sigma model with quarks

Inverse magnetic catalysis in the linear sigma model with quarks

One-loop thermodynamic potential of charged massive particles in a constant homogeneous magnetic field at high temperatures

Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant

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