Double-logarithmic nonlinear electrodynamics

Güllü, İbrahim; Mazharimousavi, S. Habib

doi:10.1088/1402-4896/abe498

Cited by 34 publications

(28 citation statements)

References 40 publications

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“…In ref. [13], the authors have also introduced a new nonlinear electrodynamics model given by (again, in accordance with our notation in this paper)…”

Section: The Field Equationsmentioning

confidence: 92%

“…(This generalization has been already used in order for studying some specific models, e.g., see refs. [13,58].) Therefore, the Lagrangian density of BI-type nonlinear electrodynamics may be written as…”

Section: Building a Nonlinear Lagrangianmentioning

confidence: 99%

“…These theories (BI [1], logarithmic [8], exponential [10], etc [12,13]) share some common features especially in the weak-field coupling limit, leading to what might be called BI-type nonlinear theories of electrodynamics. Several BI-type Lagrangians are listed below L(F) :…”

Section: Introductionmentioning

confidence: 99%

“…denotes the other possible Lagrangians (see, e.g., refs. [12,13] and references therein), β is the nonlinear parameter, and F is the usual Maxwell invariant as…”

Section: Introductionmentioning

confidence: 99%

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Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories

Dehghani,

Setare,

Zarepour

2021

Preprint

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We extensively explore three different aspects of Born-Infeld (BI) type nonlinear U (1) gauge-invariant modifications of Maxwell's classical electrodynamics (also known as BI-type nonlinear electrodynamics) and bring some new perspectives on these theories. First, within the framework of exponential U (1) gauge theory, it is explicitly proved that although the electric field at the location of the elementary point charges is not finite, but the total electrostatic field energy is finite. Motivated by this observation together with a wealth of evidence, we conjecture that all theories in 4-dimensional spacetime that belong to the BI family result in finite self-energy for elementary charged particles. In higher dimensions, it is found that the weak-field coupling limit of BI-type theories, which is identified as the weak field limit of effective Euler-Heisenberg (EH) theory, does not possess a regularizing ability to make the self-energy of a point charge finite, which implies that the conjecture may not hold for some BI-type theories. However, we explicitly prove that BI, logarithmic and exponential U (1) gauge theories in arbitrary dimensions result in finite self-energy as well. Next, we classically study the problem of vacuum polarization effects and then systematically make a connection between all BI-type theories and QED. It is shown that all the BI-type theories classically predict the vacuum polarization effects, in which the final results are exactly in one-to-one correspondence with QED and the effective EH theory up to the leading order of corrections. Finally, we present a new, simple proof indicating that BI theory is the only theory with dual symmetry property (electric-magnetic duality) which reduces to the effective EH theory in the weak-field limit. The dual symmetry is broken when we demand an exact one-to-one correspondence in the weak-field limit with QED due to the vacuum polarization effects.

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“…In ref. [13], the authors have also introduced a new nonlinear electrodynamics model given by (again, in accordance with our notation in this paper)…”

Section: The Field Equationsmentioning

confidence: 92%

Section: Building a Nonlinear Lagrangianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…denotes the other possible Lagrangians (see, e.g., refs. [12,13] and references therein), β is the nonlinear parameter, and F is the usual Maxwell invariant as…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories

Dehghani,

Setare,

Zarepour

2021

Preprint

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“…Interestingly, some non-linear models emerge naturally from the low-energy limit of string theory, and it has been applied in very different contexts as, for example, black hole physics [42][43][44][45][46], holographic superconductivity [47][48][49], and cosmology [50][51][52]. There are, nowadays, many different proposals of non-linear Electrodynamics [53][54][55], exhibiting not only finite energy for the pointlike charge, but also properties like vacuum birefringence and dichroism.…”

Section: Non-linear Extensions Of U(1) Ymentioning

confidence: 99%

Electroweak monopoles with a non-linearly realized weak hypercharge

Fabritiis

Helayël-Neto

2021

Eur. Phys. J. C

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We present a finite-energy electroweak-monopole solution obtained by considering non-linear extensions of the hypercharge sector of the Electroweak Theory, based on logarithmic and exponential versions of electrodynamics. We find constraints for a class of non-linear extensions and also work out an estimate for the monopole mass in this scenario. We finally derive a lower bound for the energy of the monopole and discuss the simpler case of a Dirac magnetic charge.

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Energy‐Dependent Topological Black Holes in Massive Gravity Coupled to Double‐Logarithmic Electrodynamics

Ali

2022

Annalen der Physik

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In this paper, the nonlinear magnetized black holes of massive gravity's rainbow is investigated. In order to achieve this, the double-logarithmic electromagnetic field is used as a matter source and the new anti-de Sitter black hole solution is derived. The effects of the massive graviton, rainbow functions, and nonlinearity of the electromagnetic field on the black hole's inner and outer horizons are also studied. The black hole's thermodynamic properties are studied, and the mathematical expressions for temperature, heat capacity, and Gibbs free energy are found. The extended first law and Smarr's formula are derived as well. Using the behavior of thermodynamic quantities as a starting point, the local and global thermodynamic stabilities are also studied.

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Double-logarithmic nonlinear electrodynamics

Cited by 34 publications

References 40 publications

Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories

Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories

Electroweak monopoles with a non-linearly realized weak hypercharge

Energy‐Dependent Topological Black Holes in Massive Gravity Coupled to Double‐Logarithmic Electrodynamics

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