Low-Spin Field Theories| Low-Spin Field Theories |
Spin-0 Fields > see scalar field theories.
Spin-1/2 Fields
> s.a. boundaries in field theory; dirac field theory;
fermions; green functions; spinors.
* Idea: Fermions,
can be considered as a collection of 2-state oscillators; Descriptions
include the Dirac equation and the Feshbach-Villars equation.
@ General references, classical fields:
Gaioli & García Álvarez FP(98)ht;
Deriglazov & Gitman MPLA(99)ht/98;
Kochetov JPA(00) [in B];
Pestov ht/01;
Ahluwalia a1305-wd
[local, mass-dimension one, Fermi field of spin 1/2];
Andriambololona et al a1401
[derivation of field equations using dispersion-codispersion operators].
@ Related topics: Chamblin ht/97-ch [classification of fermions];
Mickelsson PLB(99)ht [with boundary];
McLenaghan et al PRS(00) [symmetries];
Guettou & Chetouani PS(06) [Feshbach-Villars equation and pair creation];
Malta et al AHEP(16)-a1510 [spin-dependent interaction potentials].
Spin-1 (Vector) Fields
> s.a. electromagnetism; Galileon
Field; gauge theory; Kemmer Equation;
types of dark energy.
* Massive: The correct
massive wave equation was derived by Lanczos, and rediscovered by Proca
in 1936; > s.a. Proca Theory.
@ General references: Mweene qp/99 [vectors and operators];
in Franklin 10 [IIb];
Malta et al AHEP(16)-a1510 [spin-dependent interaction potentials];
Ananth et al NPB(17)-a1711 [quartic interaction vertices];
Errasti et al a1905 [general theory including Maxwell and Proca fields];
Morinelli & Rehren a1905
[from the complex massless Klein-Gordon quantum field: higher-spin fields from scalar fields].
@ Massive: Proca CRAS(36);
Gsponer & Hurni in(98)phy/05 [history];
Gazeau & Takook JMP(00) [quantum, on de Sitter space];
Arias & Pérez-Mosquera ht/04-conf [Cremmer-Scherk & Proca];
Zecca NCB(05) [in expanding universe];
Pani et al PRL(12)-a1209 [instabilities around rotating black holes];
Lee a1306-PhD [symmetries];
Dütsch RVMP(15)-a1501
[about their geometrical interpretation in terms of spontaneously broken gauge theories];
> s.a. electroweak theory
[W bosons]; lagrangian systems.
@ In curved spacetime, cosmology:
Zecca NCB(00) [on Schwarzschild spacetime],
NCB(02) [with torsion];
Esposito-Farèse et al PRD(10)-a0912 [Hamiltonian stability and hyperbolicity];
Davydov AIP(12)-a1112;
Tasinato et al JCAP(13)-a1307 [role in modified gravity theories];
> s.a. fields in schwarzschild spacetime.
@ Other backgrounds:
Veko et al a1411-conf [in a Dirac magnetic monopole background];
Dernek et al a1606,
Bera et al JHEP(17)-a1610 [3D].
> Quantum theories: see quantum field
theory in curved spacetime; types of quantum field theories [non-local].
Spin-3/2 Fields
> s.a. fermions; quantum field theories in curved spacetimes.
* History: A theory was
first formulated by Pauli & Fierz; The standard one is the simplified
one, based on the Rarita-Schwinger equation, which is plagued by problems;
Belinfante calculated the gyromagnetic ratio g = 2/3.
@ General references: Gupta PR(54);
Robinson GRG(95);
Kudrya TMP(95) [exact sets];
Frauendiener et al CQG(96) [m = 0];
Torres del Castillo & Herrera IJTP(96) [in Minkowski space];
Deser et al PRD(00)ht [Q, m ≠ 0];
Pascalutsa PLB(01)hp/00 [consistency];
Shima & Tsuda PLB(01) [Nambu-Goldstone fermion];
Villanueva et al FP(03) [electromagnetic coupling];
Kruglov IJMPA(06)ht/04 [as sqrt of Proca equation];
Napsuciale et al EPJA(06)hp;
Darkhosh a0712-wd
[massive, consistency, coupled to electromagnetism in supergravity];
Buchbinder & Krykhtin MPLA(10) [BRST approach to consistent Lagrangian];
Savvidy a1007 [quantum electrodynamics].
@ In curved spacetime, cosmology: Maroto & Mazumdar PRL(00)hp/99 [early universe];
Hayashi MPLA(01)ht [twistors, torsion];
Zecca IJTP(07) [in Schwarzschild spacetime];
Red'kov a1109-ch;
Zecca IJTP(12) [in LTB models];
Liu et al JHEP(14)-a1401 [rev];
> s.a. green functions.
@ Related topics: Gsponer & Hurni HJ(03)mp/02 [Lanczos quaternion approach];
Carballo Perez & Socolovsky IJTP(12)-a1001 [CPT group];
Benakli et al PRD(19)-a1811 [stochastic gravitational waves];
> s.a. Gyromagnetic Ratio.
> Special types:
see Rarita-Schwinger Theory; supergravity;
twistors; types of gauge theories.
Other Types of Fields > see spin-2 fields; high-spin field theories; types of field theories.
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 12 sep 2019