Altenative Formulations > s.a. kaluza-klein;
modified QED;
photon [including massive]; regge
calculus [discrete].
* Feynman's approach:
Derive Maxwell's theory from quantum mechanics.
* Lanczos' approach: A biquaternionic field theory in which point singularities
are interpreted as electrons.
* Pre-metric: The precursor
was Einstein's proof in 1916 that electromagnetism can be put in generally
covariant form; Developed with constributions by Kottler, Cartan, van Dantzig,
Schouten & Dorgelo,
Toupin & Truesdell, and Post; More recently, motivated by the 1962 suggestion
by A Peres that electromagnetism is fundamental and gab a
subsidiary field.
@ Gauge-invariant: Kijowski & Rudolph LMP(93)
[spinor electrodynamics]; Przeszowski JPA(05)ht [light-front
variables].
@ Feynman's approach: Dyson AJP(90)
and comments; Lee PLA(90),
comment Farquhar PLA(90);
Tanimura AP(92);
Kauffman & Noyes
PRS(96);
Montesinos & Pérez-Lorenzana IJTP(99)qp/98;
Paschke mp/03 [on
curved spaces]; Cariñena & Figueroa JPA(06)ht,
Kauffman IJTP(06)
[and non-commutativity].
@ Accelerated frames: Muench et al PLA(00)gq,
Mashhoon AdP(03)ht,
PRA(04),
PLA(07)ht [non-local];
Hauck & Mashhoon AdP(03)gq [waves
in rotating frame]; Mashhoon PRA(05)ht [rotating,
non-local].
@ Pre-metric: Gross & Rubilar PLA(01)
[and spacetime metric]; Rubilar AdP(02)-a0706 [emergence
of light cone]; Kaiser JPA(04)mp [pa conservation];
Itin & Hehl AP(04)gq [and
spacetime signature]; Hehl & Obukhov
PLA(04)phy,
FP(05)phy/04;
Lämmerzahl & Hehl PRD(04)gq;
Delphenich gq/04 [and
complex geometry], AdP(05), gq/05-in
[symmetries],
gq/05-in
[and spinors]; Hehl & Obukhov GRG(05)
[history, dimensions, units]; Itin PRD(05)ht [vacuum
no-birefringence conditions], JPA(07)
[photon propagator].
@ Lanczos approach: Lanczos (19)phy/04,
ZfP(29)phy/05,
PZ(30)phy/05;
Gsponer & Hurni in(98)mp/04,
FP(05)mp/04; > s.a. em
in curved spacetime [Lanczos-Newman].
@ Geometric formulation: Tonti in(95);
Olkhov ht/02, ht/02-in;
Poplawski a0802 [unified with gravity]; > s.a. particles [models].
@ Manifestly covariant: Hillion NCB(99); Marmo
& Tulczyjew a0708 [and
introduction of particles].
@
Other formulations: Harmuth et al 01 [magnetic dipole currents??]; Kravchenko mp/02-in,
Jack mp/03 [quaternionic];
Coll AFLB(04)gq/03;
Bzdak & Hadasz PLB(04)
[and sqrt of Dirac]; Gottlieb mp/04;
Holland PRS(05)qp/04 [Eulerian
hydrodynamic model]; Rahman phy/04-in
[ito
two 2-component relativistic fluid]; De Montigny & Rousseaux EJP(06)phy/05 [non-relativistic
limits]; Pierseaux & Rousseaux phy/06;
Gogberashvili JPA(06)ht/05,
Tolan et al NCB(06)
[octonionic]; De Nicola & Tulczyjew a0704 [variational,
ito de Rham even and odd forms]; > s.a. Clebsch
Potential.
Non-Linear > s.a. born-infeld;
duality;
singularities; 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 a0711-in [supersymmetric].
@ And cosmology: De Lorenci et al PRD(02)
[non-singular FRW]; García-Salcedo & Bretón
CQG(03),
CQG(05)gq/04 [singularity-free
Bianchi]; Camara et al PRD(04)ap [FRW];
Novello
et al CQG(07)gq/06; Kunze
a0710 [primordial magnetic fields]; > s.a. acceleration.
@ Other phenomenology: Cooperstock FPL(89)
[+ scalar, and particle models];
De
Lorenci
et
al PLB(00),
Visser et al gq/02-in
[birefringence]; Burinskii & Hildebrandt PRD(02)
[particle-like solutions];
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 a0707 [and
variation of fine structure constant]; Mosquera et al a0710 [and
cosmological
redshift]; > s.a. anomalous
acceleration, Gravastar.
Other Theories > s.a. black
holes; BRST; Coulomb's
Law;
curved spacetime; history; non-commutative
fields; Proca;
Supermanifolds.
* 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.
* Stochastic electrodynamics:
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.
* 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.
@ Stochastic electrodynamics: 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.
@ Scalar: Kruglov
AFLdB(01)mp [s =
0, 1]; Kajantie et al NPB(04)
[duality and scaling]; Esposito a0710-AdP
[Majorana's theory].
@ Ritz theory: Ritz ACP(08)tr;
in Jackson 75; comments by Fritzius web(98).
@ Quantum-gravity-motivated, Lorentz-violating: Lämmerzahl et al PRD(05)
[and charge non-conservation]; Montemayor & Urrutia
PLB(05)
[synchrotron radiation in Myers-Pospelov]; Dvali et al PRL(05)ht [instantaneous
at large d]; Altschul PRD(07)ht
[Cerenkov radiation]; Montemayor & Urrutia GRG(07)
[phenomenology]; > s.a. modified
lorentz
symmetry.
@ Non-gauge-invariant: van Oosten EPJD(00)phy/01 [based
on Fermi Lagrangian]; Rousseaux AFLdB(03).
@ Massive, Lorentz electrodynamics: Appel & Kiessling AP(01)mp/00.
@ 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];
Antoci GRG(91)gq/01 [Einstein's
unified theory]; 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]; > s.a. gauge
theory, monopole [Alice electrodynamics].
> Related topics: see causality [action
at a
distance, non-local]; chern-simons; clifford
algebra; quantum gravity
phenomenology; spinors in field theory; unification.
Semiclassical, with Quantum Fields > s.a. aharonov-bohm;
charge [quantization]; quantum
dirac fields; spacetime
foam.
@ And spinors: Laporte & Uhlenbeck PR(31);
Kijowski & Rudolph
LMP(93);
Olkhov qp/01-in.
@ Semiclassical particle in classical field: Bordovitsyn & Myagkii mp/01 [electron
in B field].
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
25 jun 2008