Modified Versions of Electromagnetism |
Non-Linear Electrodynamics
> s.a. born-infeld theory; duality;
Smarr Formula; teleparallel gravity.
* Motivation: It arises as an
effective theory when one takes into account QED effects, and may also arise
from a possible non-minimal coupling to gravity in the classical theory;
> s.a. effective quantum field theory.
* Status: 2010, There is no experimental
evidence, but high-intensity lasers and strong magnetic fields are expected to lead to
more stringent tests.
@ General references: Pisello IJTP(77);
Gibbons & Rasheed PLB(96) [+ axion + dilaton];
Sowa JGP(03);
Duplij et al JPA(08)-a0711-in [supersymmetric];
Shabad & Usov a0911 [causality principle and convexity of Lagrangian];
Donev & Tashkova a1305 [based on an extended Lie derivative];
Aschieri et al proc(14)-a1310 [and higher-derivative theories, duality];
Gaete & Helayël-Neto EPJC(14)-a1408.
@ SO(2) duality-invariant conformal extension: Bandos et al PRD(20)-a2007;
Kosyakov PLB(20)-a2007;
Ballon Bordo et al a2011 [Taub-NUT solutions].
@ And FLRW cosmology:
De Lorenci et al PRD(02) [non-singular];
Camara et al PRD(04)ap;
Vollick PRD(08)-a0807 [and acceleration];
García-Salcedo et al a0905 [with dark matter],
PRD(14)-a1312 [spatially flat, issues];
Kruglov IJMPA(17)-a1705 [inflation].
@ Other cosmology:
García-Salcedo & Bretón CQG(03),
CQG(05)gq/04 [singularity-free Bianchi];
Novello et al CQG(07)gq/06;
Kunze PRD(08)-a0710 [primordial magnetic fields];
Benaoum & Ovgun CQG-a2105 [matter-antimatter asymmetry];
> s.a. theories of cosmological acceleration.
@ And particle models:
Cooperstock FPL(89) [+ scalar field];
Burinskii & Hildebrandt PRD(02) [particle-like solutions];
Vellozo et al IJTP(09)-a0811 [self-energy and electron charge stability];
Zaslavskii G&C(10)-a1004 [coupled to gravity, Zel'dovich states].
@ Coupled to gravity: Hollenstein & Lobo PRD(08)-a0807 [f(R) gravity];
Díaz-Alonso & Rubiera-García a1001-MG12 [spherical];
Mazharimousavi et al EPJC(14)-a1304 [in 2+1 dimensions];
Dymnikova & Galaktionov CQG(15)-a1510 [rotating electrically charged black holes and solitons];
Chinaglia a1512;
Kruglov PRD(16)-a1608 [charged black holes];
> s.a. lovelock gravity.
@ Heisenberg-Euler type electrodynamics:
Gaete et al AHEP-a1509 [birefringence];
Kruglov MPLA(17)-a1705 [corrections to Coulomb's law, black holes].
@ Birefringence:
De Lorenci et al PLB(00);
Visser et al gq/02-fs;
de Melo et al MPLA(15)-a1407 [and causal structure];
De Lorenci et al PRD(13)-a1502 [multirefringence phenomena];
Gaete & Helayël-Neto EPL(17)-a1709.
@ Astrophysics and cosmology: Mosquera & Salim ApJ(04)ap/03 [and neutron-star redshift];
Mbelek & Mosquera MNRAS(08)-a0707 [and variation of fine-structure constant];
Mosquera et al a0710 [and cosmological redshift];
Corda & Mosquera MPLA(10)-a0905 [and black-hole singularities];
Mosquera & Lambiase PRD(09)
[primordial magnetic fields and gravitational baryogenesis];
Kruglov IJMPA(17)-a1710 [new model, and black holes];
Samanta et al PRD-a1810 [singularities and accelerated expansion].
@ Other phenomenology: Obukhov & Rubilar PRD(02)gq [wave propagation];
Gaete & Schmidt IJMPA(04)ht/03 [Coulomb];
Delphenich ht/03 [and QED];
Goulart de Oliveira & Perez Bergliaffa CQG(09)-a0905 [effective metric];
Mazharimousavi & Halilsoy PLA(11)-a0908 [resolution of historic problem];
Accioly et al IJMPA(10)-a0912 [in an external magnetic field];
Dereli & Tucker EPL(10)-a1001 [tests, framework];
Goulart EPL(16)-a1602 [knotted solutions];
Mazharimousavi & Halilsoy CQG(20)-a2008 [colliding waves];
> s.a. anomalous acceleration; energy [electron self-energy].
> Solutions, coupling to gravity: see Gravastar;
kerr-newman black holes; spacetime singularities;
spherical solutions in general relativity; Stealth Fields.
Quantum-Gravity-Motivated, Lorentz-Violating Theories
s.a. quantum-gravity effects on electrodynamics.
* Motivation: Obtain a theory that violates Lorentz symmetry,
by introducing a dependence of the speed c of light on the motion of the source, or anisotropy.
@ General references: Lämmerzahl et al PRD(05) [and charge non-conservation];
Dvali et al PRL(05)ht [instantaneous at large d];
Knoll & Yavneh JPA(10)-a0902 [scale-covariant "quantum deformation"];
Casana et al PRD(09)-a0907 [from standard-model extension];
Li et al PLB(09)-a0907 [CPT-violating with Chern-Simons term, and modified gravity];
Romero et al MPLA(10)-a1006 [à la Hořava];
Leonard & Woodard PRD(12)-a1202 [graviton corrections];
Moayedi et al AHEP(13)-a1303,
Prudencio et al a1706 [with minimal measurable length].
@ Discretized: Das CJP(10)-a0811 [covariant discrete phase space];
> s.a. regge calculus.
@ Unified theories: Antoci GRG(91)gq/01 [Einstein's unified theory];
> s.a. unification.
@ Phenomenology: Montemayor & Urrutia PLB(05) [synchrotron radiation in Myers-Pospelov];
Altschul PRD(07)ht [Cerenkov radiation];
Montemayor & Urrutia GRG(07);
Gubitosi et al JCAP(09)-a0904 [from cmb polarization data].
> Related topics: see kaluza-klein theory;
modified lorentz symmetry.
Related Theories
> s.a. formulations of maxwell's theory [including pre-metric].
* Ritz theory of electrodynamics:
A modification of electromagnetism in which the Maxwell equations involving sources
are modified so that the speed of light is c only relative to the source.
* Podolsky theory of electrodynamics:
A generalized electrodynamics with higher-order derivatives.
@ General references:
Dvoeglazov Ap(98)phy [rev];
Bogolubov & Prykarpatsky UJP(09)-a0909,
FP(10) [various theories, and Dirac quantization];
Pfeifer & Siemssen PRD(16)-a1602 [general linear electrodynamics];
Errasti Díez et al PRD(20)-a1905 [general Lagrangian theory].
@ QED corrections: Ni a1109-ch [Parametrized Post-Maxwellian framework, foundations];
Tomazelli & Zanellato IJMPA(13) [vacuum fluctuations].
@ Scalar theory: Kruglov AFLB(01)mp [s = 0, 1];
Kajantie et al NPB(04) [duality and scaling];
Esposito AdP(07)-a0710 [Majorana's theory];
in Akhmeteli JMP(11)-a1008 [real vs complex matter field].
@ Ritz theory:
Ritz ACP(08)tr;
Ritz & Einstein PZ(09);
in Jackson 75;
comments and articles by Fritzius web(11).
@ Podolsky theory: Matthews MPCPS(49);
Galvão & Pimentel CJP(88) [canonical structure];
Cuzinatto et al IJMPA(11)-a0810 [phenomenology];
Kruglov JPA(10)-a0907 [1st-order formalism and solutions];
Zayats AP(14)-a1306 [self-interaction];
Gratus et al JPA(15)-a1502 [self-force];
Bonin et al a1608 [multipole expansion];
Granado et al EPL(20)-a1912 [from a condensation of topological defects];
Araújo & Maluf BJP(21)-a2003 [photon gas thermodynamics];
> s.a. modified quantum electrodynamics.
@ Wheeler-Feynman theory: Deckert et al a1212 [instructive approximate model].
@ Non-gauge-invariant theory:
van Oosten EPJD(00)phy/01 [based on Fermi Lagrangian];
Rousseaux AFLB(03).
@ Massive, Lorentz electrodynamics: Appel & Kiessling AP(01)mp/00;
Cafaro & Ali AACA(07)mp [spacetime algebra approach];
> s.a. modified QED.
@ Topological formulations: Delphenich AdP(05)ht/03;
Barrett 08.
@ Topologically massive: Accioly & Dias IJMPA(06)ht/05 [and unitarity];
Ghalati et al ht/06 [first-order form, canonical];
> s.a. photon.
@ Other proposals:
Assis 94 [Weber's electrodynamics];
Hehl et al IJMPA(02)gq-in [generally covariant];
Martinez-Ledesma & Mendoza RMF(04)ap/02 [varying α];
Kiessling JSP(04)mp/03,
JSP(04)mp/03;
Donev & Tashkova ht/04 [extended];
Rousseaux EPL(05)phy [Galilean electromagnetism];
Kruglov CJP(08)ht/06;
Roscoe a0904 [without scalar potential];
Tarasov AP(08)-a0907 [fractional];
Klinkhamer & Schreck NPB(11)-a1011 [isotropic modified Maxwell theory];
Sheykhi & Hendi IJTP(11)-a1012 [entropic origin and corrections to Coulomb's law];
Kowar a1111 [non-instant field model];
Navarro & Sancho JMP(12)-a1201,
Gallego Torromé a1207 [higher-order forms];
Segev a1412 [as a special case of continuum mechanics];
> s.a. finsler geometry and physics;
monopoles [Alice electrodynamics].
> Other theories: see Proca Theory;
quaternions; spin-1 fields;
Stochastic Electrodynamics.
> Related topics: see black holes;
BRST; causality [action at a distance,
non-local]; chern-simons theory; clifford
algebra; Coulomb's Law; electricity [tests];
electromagnetism in curved spacetime [and higher dimensions]; gauge
theory; history of physics; modified QED;
non-commutative fields; photon [including massive];
plasma physics [Aristotelian electrodynamics]; spinors
in field theory; Supermanifolds; torsion
in physics; types of symplectic structures [multisymplectic formalism].
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