Approximated solutions to Born-Infeld dynamics
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- 作者：Rafael Ferraro ; Mauro Nigro
- 关键词：Integrable Equations in Physics ; Integrable Field Theories
- 刊名：Journal of High Energy Physics
- 出版年：2016
- 出版时间：February 2016
- 年：2016
- 卷：2016
- 期：2
- 全文大小：406 KB
- 参考文献：[1]M. Born and L. Infeld, Foundations of the new field theory, Proc. Roy. Soc. Lond. A 144 (1934) 425 [INSPIRE ].CrossRef ADS
[2]M. Born and L. Infeld, Foundations of the new field theory, Nature 132 (1933) 1004.CrossRef ADS
[3]M. Born, Quantum theory of the electromagnetic field, Proc. Roy. Soc. Lond. A 143 (1934) 410 [INSPIRE ].CrossRef ADS
[4]M. Born and L. Infeld, On the quantization of the new field equations. I, Proc. Roy. Soc. Lond. A 147 (1934) 522 [INSPIRE ].
[5]E.S. Fradkin and A.A. Tseytlin, Nonlinear electrodynamics from quantized strings, Phys. Lett. B 163 (1985) 123 [INSPIRE ].CrossRef ADS MathSciNet
[6]A. Abouelsaood, C.G. Callan Jr., C.R. Nappi and S.A. Yost, Open strings in background gauge fields, Nucl. Phys. B 280 (1987) 599 [INSPIRE ].CrossRef ADS MathSciNet
[7]R.G. Leigh, Dirac-Born-Infeld action from Dirichlet σ-model, Mod. Phys. Lett. A 4 (1989) 2767 [INSPIRE ].CrossRef ADS MathSciNet
[8]R.R. Metsaev, M. Rakhmanov and A.A. Tseytlin, The Born-Infeld action as the effective action in the open superstring theory, Phys. Lett. B 193 (1987) 207 [INSPIRE ].CrossRef ADS MathSciNet
[9]A.A. Tseytlin, On non-Abelian generalization of Born-Infeld action in string theory, Nucl. Phys. B 501 (1997) 41 [hep-th/9701125 ] [INSPIRE ].CrossRef ADS MathSciNet
[10]J. Plebanski, Lectures on non linear electrodynamics, Nordita Lecture Notes, Copenhagen Denmark (1968) [INSPIRE ].
[11]G. Boillat, Nonlinear electrodynamics-Lagrangians and equations of motion, J. Math. Phys. 11 (1970) 941 [INSPIRE ].CrossRef ADS
[12]S. Deser and R. Puzalowski, Supersymmetric nonpolynomial vector multiplets and causal propagation, J. Phys. A 13 (1980) 2501 [INSPIRE ].ADS MathSciNet
[13]I. Bialynicki-Birula, Nonlinear electrodynamics: variations on a theme by Born and Infeld, in J. Lopuszanski’s Festschrift, Quantum Theory of Particles and Fields, B. Jancewicz and J. Lukierski eds., World Scientific, Singapore (1983), pg. 31 [INSPIRE ].
[14]R. Kerner, A.L. Barbosa and D.V. Gal’tsov, Topics in Born-Infeld electrodynamics, in Proceedings of XXXVII Karpacz Winter School, J. Lukierski and J. Rembielinski eds., Amer. Math. Soc., Providence U.S.A. (2001) [AIP Conf. Proc. 589 (2001) 377] [hep-th/0108026 ] [INSPIRE ].
[15]Y. Brenier, Hydrodynamic structure of the augmented Born-Infeld equations, Arch. Rat. Mech. Anal. 172 (2004) 65.CrossRef MathSciNet MATH
[16]M.K.H. Kiessling, Convergent perturbative power series solution of the stationary Maxwell-Born-Infeld field equations with regular sources, J. Math. Phys. 52 (2011) 022902 [INSPIRE ].CrossRef ADS MathSciNet
[17]M.K.-H. Kiessling, Some uniqueness results for stationary solutions to the Maxwell-Born-Infeld field equations and their physical consequences, Phys. Lett. A 375 (2011) 3925.CrossRef ADS MathSciNet
[18]M.H.L. Pryce, The two-dimensional electrostatic solutions of Born’s new field equations, Proc. Cambr. Phil. Soc. 31 (1935) 50.CrossRef ADS
[19]M.H.L. Pryce, On a uniqueness theorem, Proc. Cambr. Phil. Soc. 31 (1935) 625.CrossRef ADS
[20]R. Ferraro, 2D Born-Infeld electrostatic fields, Phys. Lett. A 325 (2004) 134 [hep-th/0309185 ] [INSPIRE ].CrossRef ADS MathSciNet
[21]R. Ferraro and M.E. Lipchak, Born-Infeld corrections to Coulombian interactions, Phys. Rev. E 77 (2008) 046601 [hep-th/0609141 ] [INSPIRE ].ADS
[22]R. Ferraro, Born-Infeld electrostatics in the complex plane, JHEP 12 (2010) 028 [arXiv:1007.2651 ] [INSPIRE ].CrossRef ADS
[23]R. Ferraro, Two-dimensional solutions for Born-Infeld fields, JHEP 08 (2013) 048 [arXiv:1304.5506 ] [INSPIRE ].CrossRef ADS MathSciNet
[24]O. Kobayashi, Maximal surfaces in the 3-dimensional Minkowski space L 3, Tokyo J. Math. 6 (1983) 297.CrossRef MathSciNet MATH
[25]M. Bordemann and J. Hoppe, The dynamics of relativistic membranes 2. Nonlinear waves and covariantly reduced membrane equations, Phys. Lett. B 325 (1994) 359 [hep-th/9309025 ] [INSPIRE ].
[26]B.M. Barbashov and N.A. Chernikov, The possibility of an oscillatory nature of gravitational collapse, Sov. Phys. JETP 24 (1967) 437.ADS
[27]H.S. Ibarguen, A. García and J. Plebanski, Signals in nonlinear electrodynamics invariant under duality rotations, J. Math. Phys. 30 (1989) 2689 [INSPIRE ].CrossRef ADS MathSciNet MATH
[28]M. Novello, V.A. De Lorenci, J.M. Salim and R. Klippert, Geometrical aspects of light propagation in nonlinear electrodynamics, Phys. Rev. D 61 (2000) 045001 [gr-qc/9911085 ] [INSPIRE ].
[29]R. Ferraro, Testing Born-Infeld electrodynamics in waveguides, Phys. Rev. Lett. 99 (2007) 230401 [arXiv:0710.3552 ] [INSPIRE ].CrossRef ADS
[30]M. Aiello, G. Bengochea and R. Ferraro, Anisotropic effects of background fields on Born-Infeld electromagnetic waves, Phys. Lett. A 361 (2007) 9 [hep-th/0607072 ] [INSPIRE ].CrossRef ADS
[31]R. Ferraro, Testing nonlinear electrodynamics in waveguides: the effect of magnetostatic fields on the transmitted power, J. Phys. A 43 (2010) 195202 [INSPIRE ].ADS MathSciNet
[32]E. Yu. Petrov and A.V. Kudrin, Exact self-similar solutions in Born-Infeld theory, Phys. Rev. D 87 (2013) 087703 [arXiv:1302.4353 ] [INSPIRE ].ADS
[33]D.A. Burton, R.M. G.M. Trines, T.J. Walton and H. Wen, Exploring Born-Infeld electrodynamics using plasmas, J. Phys. A 44 (2011) 095501 [arXiv:1006.2246 ] [INSPIRE ].ADS MathSciNet
[34]G.O. Schellstede, V. Perlick and C. Lämmerzahl, Testing non-linear vacuum electrodynamics with Michelson interferometry, Phys. Rev. D 92 (2015) 025039 [arXiv:1504.03159 ] [INSPIRE ].ADS - 作者单位：Rafael Ferraro (1) (2)
Mauro Nigro (2)
1. Instituto de Astronomía y Física del Espacio (IAFE, CONICET-UBA), Casilla de Correo 67, Sucursal 28, 1428, Buenos Aires, Argentina
2. Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428, Buenos Aires, Argentina - 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Elementary Particles and Quantum Field Theory
Quantum Field Theories, String Theory - 出版者：Springer Berlin / Heidelberg
- ISSN：1029-8479
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