Modified Versions of Electromagnetism

Non-Linear Electrodynamics > s.a. born-infeld theory; duality; Smarr Formula.
* Motivation: Arises as an effective theory when one takes into account QED effects; > s.a. effective quantum field theory.
@ General references: Gibbons & Rasheed PLB(96) [+ axion + dilaton]; Sowa JGP(03); Duplij et al JPA(08)-a0711-in [supersymmetric].
@ And FRW 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].
@ 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]; > s.a. 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]
@ Other phenomenology: De Lorenci et al PLB(00), Visser et al gq/02-in [birefringence]; Obukhov & Rubilar PRD(02)gq [waves]; Gaete & Schmidt IJMPA(04)ht/03 [Coulomb]; Mosquera & Salim ApJ(04)ap/03 [and neutron star redshift]; Delphenich ht/03 [and QED]; Mbelek & Mosquera MNRAS-a0707 [and variation of fine-structure constant]; Mosquera et al a0710 [and cosmological redshift]; Hollenstein & Lobo PRD(08)-a0807 [coupled to f(R) gravity, solutions]; Goulart de Oliveira & Perez Bergliaffa CQG(09)-a0905 [effective metric]; Corda & Mosquera a0905 [and black-hole singularities]; Mosquera & Lambiase PRD(09) [primordial magnetic fields and gravitational baryogenesis]; Mazharimousavi & Halilsoy a0908 [resolution of historic problem]; > s.a. anomalous acceleration; energy [electron self-energy].
> Solutions, and coupling to gravity: see Gravastar; spacetime singularities; spherical solutions in general relativity.

Stochastic Electrodynamics
* History: 2005, Developed over the past few decades, with a view to establishing it as the foundation for quantum mechanics; The theory had several successes, but failed when applied to the study of particles subject to non-linear forces; An analysis of the failure showed that this was due to the methods used to construct the theory, particularly the use of a Fokker-Planck approximation and perturbation theory; A new, non-perturbative approach has now been developed, called linear stochastic electrodynamics.
@ References: Boyer PRD(75), PRD(75); Boyer PRD(80) [and acceleration radiation]; Claverie et al PLA(80), Claverie & Soto JMP(82) [H atom]; de la Peña-Auerbach & Cetto pr(84); de la Peña & Cetto 96; Cole & Zou qp/03 [and H ground state]; de la Peña & Cetto qp/05 [and quantum mechanics], FP(06); > s.a. hidden variables [tests]; quantum oscillators.

Quantum-Gravity-Motivated, Lorentz-Violating Theories
* 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 a0902 [scale-covariant "quantum deformation"]; Casana et al a0907 [from standard-model extension]; Li et al a0907 [CPT-violating with Chern-Simons term, and modified gravity].
@ Discretized: Das 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; quantum-gravity phenomenology.

Other Theories > s.a. electromagnetism in curved spacetime; formulations of maxwell's theory; non-commutative fields; Proca Theory.
* Ritz theory of electrodynamics: (1908–1911) 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.
@ Scalar theory: Kruglov AFLB(01)mp [s = 0, 1]; Kajantie et al NPB(04) [duality and scaling]; Esposito AdP(07)-a0710 [Majorana's theory].
@ Ritz theory: Ritz ACP(08)tr; in Jackson 75; comments by Fritzius web(98).
@ Podolsky theory: Cuzinatto et al a0810 [phenomenology]; Kruglov a0907 [first-order formalism and solutions].
@ Non-gauge-invariant: 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].
@ 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: Dvoeglazov Ap(98)phy [rev]; Hehl et al IJMPA(02)gq-in [generally covariant]; Martinez-Ledesma & Mendoza RMF(04)ap/02 [varying ]; Kiessling JSP(04)mp/03, JSP(04)mp/03; Donev & Tashkova ht/04 [extended]; Rousseaux EPL(05)phy [Galilean electromagnetism]; Mitskievich a0707-in [higher dimensions]; Roscoe a0904 [without scalar potential]; > s.a. finsler geometry, monopole [Alice electrodynamics]; Tarasov AP(08)-a0907 [fractional].
> Related topics: see black holes; BRST; causality [action at a distance, non-local]; chern-simons theory; clifford algebra; Coulomb's Law; gauge theory; history of physics; modified QED; photon [including massive]; spinors in field theory; Supermanifolds.

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