Nonlogarithmic terms in the strong field dependence of the photon propagator

Ragazzon, R.

doi:10.1088/0305-4470/27/6/036

Cited by 34 publications

(47 citation statements)

References 17 publications

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“…In the one-loop approximation, with fermions from the LLL, the photon propagator takes the following form in covariant gauges [256,[260][261][262][263][264]:…”

Section: Magnetic Catalysis In Qed Beyond Ladder Approximationmentioning

confidence: 99%

“…The explicit expression for Π(q 2 ⊥ , q 2 ∥ ) = exp[−(q ⊥ l) 2 /2]Π(q 2 ∥ ) is given in Refs. [256,[260][261][262][263][264]. For our purposes, it is sufficient to know its asymptotes in the strong field limit,…”

Section: Magnetic Catalysis In Qed Beyond Ladder Approximationmentioning

confidence: 99%

“…It is large because of an (essentially) (1+1)-dimensional form of the fermion propagator in a strong magnetic field. Its explicit form can be obtained by modifying appropriately the expression for the polarization operator in QED in a magnetic field [256,[260][261][262][263][264]:…”

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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“…In the one-loop approximation, with fermions from the LLL, the photon propagator takes the following form in covariant gauges [256,[260][261][262][263][264]:…”

Section: Magnetic Catalysis In Qed Beyond Ladder Approximationmentioning

confidence: 99%

Section: Magnetic Catalysis In Qed Beyond Ladder Approximationmentioning

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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“…The effectiveness of the above-mentioned mechanism was discussed in Refs. [24,29] for homogeneous background configurations (see also [8,30]). Equations (34) confirm and generalize the results obtained in those works.…”

Section: Effective Couplings In Nonhomogeneous Magnetic Fieldsmentioning

confidence: 99%

Extending the Euler-Heisenberg Lagrangian to some nonperturbative and inhomogeneous field configurations

Ragazzon

1995

Phys. Rev. D

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In this paper we discuss the Euler-Heisenberg effective Lagrangian in nonperturbative and inhomogeneous field configurations characterized by a strong magnetic field of the form B, = B, = 0, B, = B(x, y). Our treatment exploits some interesting properties of the second-order Dirac Hamiltonian describing the electronic motion in the transverse plane (I, y). In particular, we take advantage of the existence of an energy gap separating the excited states from the lowest-lying modes. The latter are exactly calculable and give the leading nontrivial contribution to the effective Lagrangian. Our results show that the presence of gradients can be accounted for by introducing an effective magnetic field strength defined as the sum of the square moduli of the ground state wave functions. This surprisingly simple conclusion is mainly due to a quantum-mechanical supersymmetry of the problem, that of the second-order Dirac Hamiltonian in the transverse plane (x, y). We recall that the same supersymmetry plays an important role for the spontaneous mass generation in the Nambu-Jona-Lasinio model interacting with an external magnetic field. As a simple application of our effective Lagrangian, we discuss the asymptotic behavior of the dielectric permeability tensor of the vacuum as a function of the external field configuration. No anomalous enhancement of the effective electromagnetic coupling is observed. Implications of this result for the GSI peaks are briefly considered.PACS number(s): 11.15.Tk, 12.20.D~

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“…As for the photon propagator D µν of QED in an external constant magnetic field, it is calculated explicitly in [20,22,29] in the LLL at one-loop level. It is given by…”

Section: Qed In a Constant Magnetic Field At Zero And Finite Tempmentioning

confidence: 99%

Improved ring potential of QED at finite temperature and in the presence of weak and strong magnetic fields

Sadooghi

Anaraki

2008

Phys. Rev. D

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Using the general structure of the vacuum polarization tensor Π µν (k 0 , k) in the infrared (IR) limit, k 0 → 0, the ring contribution to QED effective potential at finite temperature and non-zero magnetic field is determined beyond the static limit, (k 0 → 0, k → 0). The resulting ring potential is then studied in weak and strong magnetic field limit. In the limit of weak magnetic field, at high temperature and for α → 0, the improved ring potential consists of a term proportional to T 4 α 5/2 , in addition to the expected T 4 α 3/2 term arising from the static limit. Here, α is the fine structure constant. In the limit of strong magnetic field, where QED dynamics is dominated by the lowest Landau level (LLL), the ring potential includes a novel term consisting of dilogarithmic function (eB)Li 2 − 2α π eB m 2 . Using the ring improved (one-loop) effective potential including the one-loop effective potential and ring potential in the IR limit, the dynamical chiral symmetry breaking of QED is studied at finite temperature and in the presence of strong magnetic field. The gap equation, the dynamical mass and the critical temperature of QED in the regime of LLL dominance are determined in the improved IR as well as in the static limit. For a given value of magnetic field, the improved ring potential is shown to be more efficient in decreasing the critical temperature arising from one-loop effective potential.

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Nonlogarithmic terms in the strong field dependence of the photon propagator

Cited by 34 publications

References 17 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

Extending the Euler-Heisenberg Lagrangian to some nonperturbative and inhomogeneous field configurations

Improved ring potential of QED at finite temperature and in the presence of weak and strong magnetic fields

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