Self-duality of a topologically massive Born–Infeld theory

Tripathy, Prasanta Kumar; Khare, Avinash

doi:10.1016/s0370-2693(01)00260-x

Cited by 13 publications

(14 citation statements)

References 23 publications

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“…The relation to similar models which arise in condensed matter physics could also be developed [48,49]. Other interesting aspects concern anomalous coupling [50], as well as various self-duality properties [51,52,53,54].…”

Section: Chern-simons Form and The Hall Lawmentioning

confidence: 99%

Vortices in (Abelian) Chern–Simons gauge theory

Horváthy

Zhang

2009

Physics Reports

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Section: Chern-simons Form and The Hall Lawmentioning

confidence: 99%

Vortices in (Abelian) Chern–Simons gauge theory

Horváthy

Zhang

2009

Physics Reports

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“…Actually, related issues involving mass effects in nonlinear electrodynamics have received some attention, they were studied in the context of a (2 + 1)-dim. topologically massive Born-Infeld theory [25] and recently in a (3 + 1)-dim. massive supersymmetric Born-Infeld theory [26].…”

Section: Introductionmentioning

confidence: 98%

Born–Infeld electrodynamics in very special relativity

Bufalo

2015

Physics Letters B

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In this work we discuss the properties of a modified Born-Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics. It is analyzed in detail the electrostatic solutions for two different cases, as well as the VSR dispersion relations are found to be of a massive particle with nonlinear modifications. Afterwards, the field energy and static potential are computed, in the latter we find from the VSR contribution a novel long-range 1/L 3 correction to the Coulomb potential, in contrast to the 1/L 5 correction of the usual Born-Infeld theory.

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“…In fact, the BI electrodynamics is the only nonlinear electrodynamic theory with a sensible weak field limit [26,29]. Another intriguing feature of the BI theory is that it remains invariant under electromagnetic duality [28,[30][31][32][33][34]. All the above mentioned features of the BI theory provide a motivation to study Einstein gravity as well as higher-curvature gravity theories coupled to BI electrodynamics [13,[35][36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Holographics-wave condensate with nonlinear electrodynamics: A nontrivial boundary value problem

et al. 2013

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In this paper, considering the probe limit, we analytically study the onset of holographic s-wave condensate in the planar Schwarzschild-AdS background. Inspired by various low-energy features of string theory, in the present work we replace the conventional Maxwell action with a (nonlinear) Born-Infeld action which essentially corresponds to the higher-derivative corrections of the gauge fields. Based on a variational method which is commonly known as the Sturm-Liouville eigenvalue problem and considering a nontrivial asymptotic solution for the scalar field, we compute the critical temperature for the s-wave condensation. The results thus obtained analytically agree well with the numerical findings [J. Jing and S. Chen, Phys. Lett. B 686, 68 (2010)]. As a next step, we extend our perturbative technique to compute the order parameter for the condensation. Interestingly, our analytic results are found to be of the same order as the numerical values obtained earlier.

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Self-duality of a topologically massive Born–Infeld theory

Cited by 13 publications

References 23 publications

Vortices in (Abelian) Chern–Simons gauge theory

Vortices in (Abelian) Chern–Simons gauge theory

Born–Infeld electrodynamics in very special relativity

Holographics-wave condensate with nonlinear electrodynamics: A nontrivial boundary value problem

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