Modified Formulations of QED| Modified Formulations of QED |
Different Approaches to Quantized Maxwell Theory
> s.a. QED; Stochastic Electrodynamics.
@ Without second quantization:
Barut et al PRA(88),
Barut & Dowling PRA(89) [electron g − 2],
PRA(90) [2-level atom];
Barut PS(88) [rev];
Morgan a0908 [empirically equivalent random field];
Louis-Martinez MPLA(12)-a1107 [derivation of the Breit equation];
Huang & Batelaan a1206
[Random Electrodynamics coupled to a classical harmonic oscillator];
Cetto et al a1301
[atomic radiative corrections from the zero-point radiation field];
Bennett AP(14)-a1406 [parametrized Dirac wave equation];
> s.a. energy [self-energy];
photons [against photons as physical objects].
@ Other approaches: Oakley PS(90) [without the interaction picture]; Kijowski et al LMP(95) [in terms of gauge-invariant quantities];
Bufalo et al PRD(11)-a1008 [path integral quantization];
Francis EJTP(13)-gq/06 [using a finite-dimensional Hilbert space];
Zarei et al IJTP(11) [Krein-space quantization];
Marrocco a1504 [quantization using only classical concepts];
Hodgson et al a2104 [quantization in position space].
@ World-line methods: Dittrich & Shaisultanov PRD(00)ht [vacuum polarization].
@ Without photons: Hainzl & Siedentop CMP(03) [mass and charge renormalization];
Hainzl et al ARMA(09)mp/06,
Sok a1407 [mean-field approximation].
Modified Theories > s.a. modified electrodynamics
[including in media]; topological field theories.
* Scalar electrodynamics: A well-known
version is the Pauli-Weisskopf theory, but Majorana had developed an earlier theory.
* Pseudo Quantum Electrodynamics (PQED):
A generalization containing the pseudodifferential operator \(\square^{1/2}\); It plays
an important role in the description of electromagnetic interactions of charged particles
confined to a plane, such as in graphene or in hetero-junctions displaying the quantum
Hall effect.
@ Massive / with photon mass:
Esposito FP(02);
Schroer EPJC(15)-a1504;
Belokogne & Folacci PRD(16)-a1512
[Stückelberg electromagnetism in curved spacetime];
Ferreira et al a2001
[Carroll-Field-Jackiw electrodynamics with Lorentz violation, unitarity];
> s.a. photon.
@ Supersymmetric: Herzog & Klose NPB(10)-a0912 [atom-like bound states].
@ With higher derivatives: Podolsky & Kikuchi PR(44) [Podolsky's electrodynamics];
Accioly & Scatena MPLA(10) [limits on the coupling constant].
@ Non-local electrodynamics:
Chrétien & Peierls PRS(54);
Scharnhorst PRS(95) [gauge];
Mei a0902;
Marino et al PRD(14)-a1408 [theories with fractional powers of the d'Alembertian operator];
Modesto et al PRD(15)-a1506 [finite theory];
Donoghue & El-Menoufi a1507 [and the curvature expansion].
@ Scalar electrodynamics: Guendelman et al PLB(95)ht [and volume-preserving diffeomorphisms];
Shvedov ht/04 [Hamiltonian, semiclassical];
Esposito AdP(07)-a0710 [Majorana's theory];
Bufalo & Pimentel PRD(13)-a1404 [BFV quantization];
Beltran et al a1808 [and SDKP4];
> s.a. modified electrodynamics.
@ Non-linear theory: Azatov & Chkareuli PRD(06) [and Lorentz invariance];
Chkareuli & Kepuladze PLB(06) [massive, and Lorentz invariance];
Shabad & Usov PRD(11)-a1101 [causality and unitarity];
Plimak & Stenholm a1104 [phase-space techniques].
@ PT-symmetric: Milton CzJP(03)ht,
CzJP(04)ht/03;
Ford JPA(08)-a0807 [non-Hermitian, magnetic];
Milton et al PTRS(13)-a1204 [and unitarity].
@ With Lorentz symmetry violation: Ferrari et al GRG(17) [and torsional gravity, singular spinor fields];
> s.a. lorentz-violating theories.
@ With varying fine-structure constant:
Ferrero & Altschul PRD(09)-a0910 [Lorentz and gauge symmetry violation].
@ Other fields: Savvidy a1005,
a1111 [spin-3/2 field];
Akhmeteli EPJC(13)-a1108 [based on spinor electrodynamics];
Naudts a1506 [2D quantum harmonic oscillators];
Drummond PRD(17)-a1603 [bimetric QED, and Lorentz violation].
@ Other approaches: Scharf 95 [causal];
Bender & Milton ht/98;
Ribarič & Šušteršič ht/99;
Razmi & Abbassi qp/99;
Brana NCB(01) [without divergent self-interaction];
Smith & Raymer NJP(07);
Majumdar & Bhattacharjee a0904 [gauge-free];
Rivera & Schuller PRD(11) [general linear electrodynamics];
Sigal a1110-ln [non-relativistic, theory of radiation];
Kowar a1111 [non-instant field model];
Bufalo et al PRD(12)-a1212,
IJMPA(17)-a1510 [renormalizability, causal approach];
Schreck PRD(14)-a1311 [based on birefringent modified Maxwell theory];
Naudts a1801-proc [transverse photons for Coulomb force].
> Related topics: see boundaries [euclidean];
Lee-Wick Electrodynamics; non-commutative gauge
theory; photon [wave function]; Proca
Theory; QED in curved spacetimes [including (quantum) gravity effects].
Schwinger Model > s.a. entanglement entropy.
* Idea: A theory of 2D massless QED.
@ References: Melnikov & Weinstein PRD(00)hl [lattice];
Avossevou & Govaerts ht/02-proc [non-perturbative, gauge-invariant quantization];
Muslih MPLA(03) [chiral, path-integral quantization];
Bracken IJMPA(08)-a0710 [chiral, constraints and quantization];
Belvedere et al JPA(11)-a0908 [at finite temperature].
@ On general manifolds: Azakov IJMPA(06)ht/05 [on S1, path integral vs canonical];
Stuart a1206
[on S1, regularization and gauge invariance];
Harder & DeLillo a1405 [in curved spacetime].
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