QED with a chemical potential: The case of a constant magnetic field

Chodos, Alan; Everding, Kenneth; Owen, David A.

doi:10.1103/physrevd.42.2881

Cited by 143 publications

(206 citation statements)

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“…This was not obtained in Ref. [14]. Elsewhere, the radiative corrections to the anomalous magnetic moment has been estimated in the presence of large magnetic fields and it was argued that they are extremely small [15,16].…”

Section: Introductionmentioning

confidence: 99%

“…In the latter case [14] the effective action is not complete but the correct form is presented here. At finite chemical potential and for sufficiently small temperatures, the QED effective action should exhibit a certain periodic dependence of the external field, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…Calculations of the QED effective Lagrangian density in an external field have been attempted before either at finite temperature [12,13] or at finite chemical potential [14].…”

Section: Introductionmentioning

confidence: 99%

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Real-time thermal propagators and the QED effective action for an external magnetic field☆

Elmfors

Persson

Skagerstam³

1994

Astroparticle Physics

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The thermal averaged real-time propagator of a Dirac fermion in a static uniform magnetic field B is derived. At non-zero chemical potential and temperature we find explicitly the effective action for the magnetic field, which is shown to be closely related to the Helmholz free energy of a relativistic fermion gas, and it exhibits the expected de Haas -van Alphen oscillations. An effective QED coupling constant at finite temperature and density is derived, and compared with renormalization group results. We discuss some astrophysical implications of our results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Real-time thermal propagators and the QED effective action for an external magnetic field☆

Elmfors

Persson

Skagerstam³

1994

Astroparticle Physics

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“…where D n (|q f B|, K)'s are the generalized Laguerre polynomials, labeling the Landau levels [55,60,61] as…”

Section: Jhep12(2017)098mentioning

confidence: 99%

One-loop QCD thermodynamics in a strong homogeneous and static magnetic field

Rath

Patra

2017

J. High Energ. Phys.

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Abstract:We have studied how the equation of state of thermal QCD with two light flavors is modified in a strong magnetic field. We calculate the thermodynamic observables of hot QCD matter up to one-loop, where the magnetic field affects mainly the quark contribution and the gluon part is largely unaffected except for the softening of the screening mass. We have first calculated the pressure of a thermal QCD medium in a strong magnetic field, where the pressure at fixed temperature increases with the magnetic field faster than the increase with the temperature at constant magnetic field. This can be understood from the dominant scale of thermal medium in the strong magnetic field, being the magnetic field, in the same way that the temperature dominates in a thermal medium in the absence of magnetic field. Thus although the presence of a strong magnetic field makes the pressure of hot QCD medium larger, the dependence of pressure on the temperature becomes less steep. Consistent with the above observations, the entropy density is found to decrease with the temperature in the presence of a strong magnetic field which is again consistent with the fact that the strong magnetic field restricts the dynamics of quarks to two dimensions, hence the phase space becomes squeezed resulting in the reduction of number of microstates. Moreover the energy density is seen to decrease and the speed of sound of thermal QCD medium increases in the presence of a strong magnetic field. These findings could have phenomenological implications in heavy ion collisions because the expansion dynamics of the medium produced in non-central ultra-relativistic heavy ion collisions is effectively controlled by both the energy density and the speed of sound.

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“…Among them, the Schwinger proper time method [4] allows to obtain the exact expression for the fermion propagator S(x, y) in a constant magnetic field and evaluate the condensate in a limiting procedure, 0|ψψ|0 = −lim x→y Tr S(x, y). In an alternative approach, one can develop the propagator in terms of Landau poles [5] and obtain the condensate as the contribution coming from the lowest Landau level (LLL). In this sense, the LLL plays a role similar to the Fermi surface in the Bardeen-Cooper-Schrieffer (BCS) superconductivity theory.…”

Section: Introductionmentioning

confidence: 99%

The effect of nonlocal confining kernels on magnetic chiral condensates

Felipe¹,

Marques

Ribeiro

2006

Nuclear Physics A

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The physics of spontaneous chiral symmetry breaking in the case of the simultaneous presence of a magnetic field and a fermionic quartic interaction is discussed for both local and nonlocal kernels in 2+1 and 3+1 dimensions. The approach is based on the use of Valatin-Bogoliubov canonical transformations, which allow, in the absence of fermionic quartic terms, to completely diagonalize the Hamiltonian and construct the vacuum state.

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QED with a chemical potential: The case of a constant magnetic field

Cited by 143 publications

References 20 publications

Real-time thermal propagators and the QED effective action for an external magnetic field☆

Real-time thermal propagators and the QED effective action for an external magnetic field☆

One-loop QCD thermodynamics in a strong homogeneous and static magnetic field

The effect of nonlocal confining kernels on magnetic chiral condensates

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