Born–Infeld electrodynamics in very special relativity

Bufalo, R.

doi:10.1016/j.physletb.2015.05.014

Cited by 16 publications

(13 citation statements)

References 41 publications

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“…In fact, profile (53) displays a new long-range 1/ 3 correction, where its strength is proportional to 2 . It is also important to observe that an analogous correction has been found in Born-Infeld electrodynamics in the context of very special relativity [57]. In this way, we establish a new connection between nonlinear effectives theories.…”

Section: Euler-heisenberg-like Modelsupporting

confidence: 70%

Some Remarks on Nonlinear Electrodynamics

Gaete

2016

Advances in High Energy Physics

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By using the gauge-invariant, but path-dependent, variables formalism, we study both massive Euler-Heisenberg-like and Euler-Heisenberg-like electrodynamics in the approximation of the strong-field limit. It is shown that massive Euler-Heisenberg-type electrodynamics displays the vacuum birefringence phenomenon. Subsequently, we calculate the lowest-order modifications to the interaction energy for both classes of electrodynamics. As a result, for the case of massive Euler-Heisenbeg-like electrodynamics (Wichmann-Kroll), unexpected features are found. We obtain a new long-range (1/r3-type) correction, apart from a long-range(1/r5-type) correction to the Coulomb potential. Furthermore, Euler-Heisenberg-like electrodynamics in the approximation of the strong-field limit (to the leading logarithmic order) displays a long-range (1/r5-type) correction to the Coulomb potential. Besides, for their noncommutative versions, the interaction energy is ultraviolet finite.

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Section: Euler-heisenberg-like Modelsupporting

confidence: 70%

Some Remarks on Nonlinear Electrodynamics

Gaete

2016

Advances in High Energy Physics

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“…In addition, the functional form of BI nonlinear theory of electrodynamics has been employed as gravitational theory as well [99,100]. For duality and other aspects of BI theory, we refer the reader to some interesting papers [101][102][103][104][105][106][107]. Due to these motivations and in order to have a better picture of charged three dimensional black holes in presence of massive gravity, we study two cases of linearly (Maxwell theory) and nonlinearly (BI theory) charged black hole solutions and investigate their thermodynamical properties.…”

Section: Jhep05(2016)029mentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

106

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Motivated by recent developments of BTZ black holes and interesting results of massive gravity, we investigate massive BTZ black holes in the presence of Maxwell and Born-Infeld (BI) electrodynamics. We study geometrical properties such as type of singularity and asymptotical behavior as well as thermodynamic structure of the solutions through canonical ensemble. We show that despite the existence of massive term, obtained solutions are asymptotically (a)dS and have a curvature singularity at the origin. Then, we regard varying cosmological constant and examine the Van der Waals like behavior of the solutions in extended phase space. In addition, we employ geometrical thermodynamic approaches and show that using Weinhold, Ruppeiner and Quevedo metrics leads to existence of ensemble dependency while HPEM metric yields consistent picture. For neutral solutions, it will be shown that generalization to massive gravity leads to the presence of non-zero temperature and heat capacity for vanishing horizon radius. Such behavior is not observed for linearly charged solutions while generalization to nonlinearly one recovers this property.

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“…Other possible topics include the extension of the ideas presented here to other parts of the SIM(2)-invariant standard model [39], Born-Infeld electrodynamics [40], noncommutativity [41] and other VSR groups [4,42]. One of the intriguing properties of VSR theories is that they provide a mechanism for neutrino mass-generation [5,12].…”

Section: Discussionmentioning

confidence: 99%

Very special relativity as a background field theory

Ilderton¹

2016

Phys. Rev. D

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We consider violation of Lorentz invariance in QED induced by a very high frequency background wave. An effective theory is obtained by averaging observables over the rapid field oscillations. This preserves Ward identities and restores translation invariance below the high frequency scale, but only partial Lorentz invariance: we show that the effective theory is C-invariant SIM(2)-QED in Very Special Relativity. Averaging generates the nonlocal terms familiar from SIM(2) theories, while the short-distance behaviour of the background field fermion propagator generates the infinite number of higher-order vertices of SIM(2)-QED. * anton.ilderton@chalmers.se arXiv:1605.04967v2 [hep-th]

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Born–Infeld electrodynamics in very special relativity

Cited by 16 publications

References 41 publications

Some Remarks on Nonlinear Electrodynamics

Some Remarks on Nonlinear Electrodynamics

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Very special relativity as a background field theory

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