Effective potential at finite temperature in a constant magnetic field: Ring diagrams in a scalar theory

Ayala, Alejandro; Sánchez, Alejandro; Piccinelli, Gabriella; Sahu, Sarira

doi:10.1103/physrevd.71.023004

Cited by 75 publications

(92 citation statements)

References 21 publications

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“…Similarly, their effects at weak fields have been studied in Ref. [77] in the context of the chiral transition. One should apply sophisticated resummation techniques or nonperturbative methods such as optimized perturbation theory [11], the 2PI effective action formalism [78], or the functional renormalization group [79].…”

Section: Discussionmentioning

confidence: 99%

Chiral transition in a magnetic field and at finite baryon density

Andersen

Khan

2012

Phys. Rev. D

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We consider the quark-meson model with two quark flavors in a constant external magnetic field B at finite temperature T and finite baryon chemical potential µB. We calculate the full renormalized effective potential to one-loop order in perturbation theory. We study the system in the largeNc limit, where we treat the bosonic modes at tree level. It is shown that the system exhibits dynamical chiral symmetry breaking, i. e. that an arbitrarily weak magnetic field breaks chiral symmetry dynamically, in agreement with earlier calculations using the NJL model. We study the influence on the phase transition of the fermionic vacuum fluctuations. For strong magnetic fields, |qB| ∼ 5m 2 π and in the chiral limit, the transition is first order in the entire µB − T plane if vacuum fluctuations are not included and second order if they are included. At the physical point, the transition is a crossover for µB = 0 with and without vacuum fluctuations.

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Section: Discussionmentioning

confidence: 99%

Chiral transition in a magnetic field and at finite baryon density

Andersen

Khan

2012

Phys. Rev. D

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“…(56). Instead, for qB = 0 we use the well know expression for the effective potential at finite temperature up to the ring diagrams contribution, given by [32] Figure 5 shows the effective potential for three values of T in units of µ computed from Eq. (56) for qB/µ 2 = 2 and a fixed value λ = 0.1.…”

Section: Parameter Spacementioning

confidence: 99%

“…(40) one can resort to expanding the Matsubara propagator in powers of qB/T 2 , in the same fashion as in Ref. [32].…”

Section: B One-loop Thermal Correctionsmentioning

confidence: 99%

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

et al. 2013

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We investigate the nature of the phase transition for charged scalars in the presence of a magnetic background for a theory with spontaneous symmetry breaking. We perform a careful treatment of the negative mass squared as a function of the order parameter and present a suitable method to obtain magnetic and thermal corrections up to ring order for the high temperature limit and the case where the magnetic field strength is larger than the absolute value of the square of the mass parameter. We show that for a given value of the self-coupling, the phase transition is first order for a small magnetic field strength and becomes second order as this last grows. We also show that the critical temperature in the presence of the magnetic field is always below the critical temperature for the case where the field is absent.

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“…Our reasons for revisiting here the phase transition in this model are two-fold. First because this same model has been studied recently in the context of the ring-diagram resummation method [29], where it was found that the ring-diagrams render the phase transition first order and that the effect of magnetic fields was to strengthen the order of the transition and also to lower the critical temperature for the onset of the (first order) phase transition. So in this work we want to reevaluate these findings in the context of the OPT method.…”

Section: Introductionmentioning

confidence: 99%

Optimized perturbation theory for charged scalar fields at finite temperature and in an external magnetic field

2011

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Symmetry restoration in a theory of a self-interacting charged scalar field at finite temperature and in the presence of an external magnetic field is examined. The effective potential is evaluated nonperturbatively in the context of the optimized perturbation theory method. It is explicitly shown that in all ranges of the magnetic field, from weak to large fields, the phase transition is second order and that the critical temperature increases with the magnetic field. In addition, we present an efficient way to deal with the sum over the Landau levels, which is of interest especially in the case of working with weak magnetic fields.

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Effective potential at finite temperature in a constant magnetic field: Ring diagrams in a scalar theory

Cited by 75 publications

References 21 publications

Chiral transition in a magnetic field and at finite baryon density

Chiral transition in a magnetic field and at finite baryon density

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

Optimized perturbation theory for charged scalar fields at finite temperature and in an external magnetic field

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