Modified Formulations of QED

In Curved Spacetime > s.a. dispersion; kerr-newman; quantum fields curved spacetime; wave phenomena.
* Effects: Can lead to modifications of g_ab k^a k^b = 0, including both superluminal propagation and dispersion.
@ Black hole spacetimes: Drummond & Hathrell PRD(80) [Schwarzschild, vacuum polarization and v > c]; Matyjasek PRD(97); Crispino et al PRD(01)gq/00 [static, Gupta-Bleuler]; Altschul & Jackiw PLB(01) [near Schwarzschild horizon]; Casals & Ottewill PRD(05)gq [canonical].
@ Cosmological spacetimes: Sucu & Unal IJMPA(02)gq/02 [FRW]; > s.a. FRW models.
@ Other backgrounds: Furlani JMP(95) [static].
@ With gravity: Isham, Salam & Strathdee PRD(71), PRD(72); Bjerrum-Bohr PRD(02)ht [scalar QED, quantum gravity corrections].
@ Green functions: Bimonte et al CQG(04)ht/03, mp/05-in.
@ Related topics: Alvarez & Olive CMP(00) [flux quantization]; Dimock mp/02 [on T³]; Shore CP(03)gq [birefringence, superluminal]; Hollowood & Shore PLB(07)-a0707 [violation of micro-causality].

Schwinger Model
* Idea: 2D massless QED.
@ References: Melnikov & Weinstein PRD(00)hl [lattice]; Avossevou & Govaerts ht/02-in [non-perturbative, gauge-invariant quantization]; Muslih MPLA(03) [chiral, path integral quantization]; Azakov IJMPA(06)ht/05 [on S¹, path integral vs canonical]; Bracken a0710 [chiral, constraints and quantization].

Other Theories and Approaches > s.a. modified electrodynamics [stochastic]; QED; topological field theories.
* With CPT / Lorentz violation: There is a controversy about a possible Chern–Simons-like term generated through radiative corrections in QED with a CPT violating term.
* Scalar electrodynamics: A well-known version is the Pauli-Weisskopf theory, but Majorana had developed an earlier theory.
@ Based on electron self-energy: Barut et al PRA(88), Barut & Dowling PRA(89) [electron g – 2], PRA(90) [2-level atom]; Barut PS(88) [rev].
@ With photon mass: Esposito FP(02); > s.a. photon.
@ With CPT / Lorentz violation: Chung & Chung PRD(01); Andrianov et al JHEP(02); Shore NPB(05)ht/04 [strong equivalence, tests]; Bonneau NPB(07).
@ Other additional terms: Alfaro et al PLB(06)ht [Lorentz-violating, consistency].
@ World-line methods: Dittrich & Shaisultanov PRD(00)ht [vacuum polarization].
@ No-photon electrodynamics: Hainzl & Siedentop CMP(03) [mass and charge renormalization]; Hainzl et al mp/06 [mean-field approximation].
@ Non-local: Chrétien & Peierls PRS(54); Scharnhorst PRS(95) [gauge].
@ Scalar electrodynamics: Guendelman et al PLB(95)ht [and volume-preserving diffeomorphisms]; Shvedov ht/04 [Hamiltonian, semiclassical]; Esposito a0710-AdP [Majorana's theory]; > s.a. modified electrodynamics.
@ Non-linear: Azatov & Chkareuli PRD(06) [and Lorentz invariance]; Chkareuli & Kepuladze PLB(06) [massive, and Lorentz invariance].
@ New approaches: Oakley PS(90); Scharf 95 [causal]; Kijowski et al LMP(95) [ito of gauge-invariant quantities]; Ribaric & Sustersic ht/99; Razmi & Abbassi qp/99; Milton CzJP(03)ht, CzJP(04)ht/03 [PT-symmetric version]; Smith & Raymer NJP(07).
@ Generalized uncertainty relations: Camacho GRG(03)gq, IJMPD(03)gq.
@ Related topics: Bender & Milton ht/98; Brana NCB(01) [without divergent self-interaction]; Nogueira & Kleinert PRL(05)cm [2+1 condensed matter effective theory]; Boozer EJP(08) [1+1 toy model].
> Related topics: see boundaries [euclidean]; non-commutative gauge theory; photon [wave function]; Proca Theory; theories on graphs.

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