Quantum Field Theory – Types of Fields| Quantum Field Theory – Types of Fields |
In General
> s.a. quantum gauge theories; tachyons;
types of field theories.
* Higher-spin fields: At most two out
of the three properties of unitarity, flat space, and non-trivial higher spin states
can be satisfied; There is an incompatibility between pointlike localization and the
Hilbert space formulation for interacting higher-spin fields; It can be resolved by
passing to a Krein space setting, which leads to the BRST gauge formulation, or
weakening the localization from pointlike to stringlike fields.
@ Massless fields: Lev TMP(04)ht/02 [massless particles];
Aste LMP(07)ht [self-coupling and mass resummation].
@ Other general types: Helfer ht/99,
ht/99 [bosonic];
Jourjine a1306 [bi-spinors];
Gudder a1811 [toy models];
> s.a. clifford algebra.
Scalar Fields
> s.a. computational physics [quantum computation].
@ λφ^4 theory: Frasca IJMPA(07)ht/06 [triviality];
Rivasseau AMP(09)-a0906 [zero-dimensional, pedagogical];
Klauder TMP(15)-a1405 [non-trivial quantization];
Jora a1503
[trivial for all values of the bare coupling constant λ];
Fantoni & Klauder a2012 [affine quantization];
> s.a. scalar field theories.
@ Other scalar field theories: Ho et al PRE(98)qp [open system];
Klauder a1005,
JPA(11)-a1101 [divergence-free];
Cortez et al CQG(11)-a1106 [with time-dependent mass];
Cahill PRD(13)-a1212 [finite theories];
Ellis et al NPB(16)-a1512 [new prescription, 'complete normal order'];
> s.a. approaches [PT-symmetric]; dirac
quantum field theory [derivative coupling]; klein-gordon quantum fields;
regularization; renormalization.
@ Finite temperature: Loran PLB(07)ht/06
[λφ4 on a circle];
Brandt et al PRD(08)-a0806
[gravity-like generalized φ3, thermal instability].
@ Polymer variables: Ashtekar et al CQG(03)gq/02 [and Fock];
Kamiński et al CQG(06)gq/05,
CQG(06)gq;
Hossain et al PRD(10)-a0906,
PRD(09)-a0906 [massless, phenomenology];
Laddha & Varadarajan CQG(10)-a1001 [and classical limit];
Husain & Kreienbuehl PRD(10)-a1002 [ultraviolet behavior];
Hossain et al PRD(10)-a1007 [propagator];
Domagała et al a1210-proc [coupled to lqg];
Sengupta PRD(13)-a1306 [with non-degenerate vacuum];
Kajuri IJMPA(15)-a1406 [path-integral formulation, Lorentz symmetry violation];
Arzano & Letizia PRD(14)-a1408 [localization and diffusion];
Husain & Louko PRL(16)-a1508 [low-energy Lorentz violation];
Garcia-Chung & Vergara IJMPA(16)-a1606 [equivalent to the Fock representation];
Varadarajan CQG(17)-a1609 [ultralocality and propagation];
Kajuri & Sardar PLB(18)-a1711 [spontaneous excitation, low-energy Lorentz violation];
Berra-Montiel CQG(20)-a1908 [Wigner functional];
> s.a. 2D quantum gravity; causality in quantum
field theory; fock space; FLRW quantum cosmology;
klein-gordon fields; phenomenology of cosmological perturbations;
Polymer Representation; thermodynamic systems.
Other Types of Fields
> s.a. types of quantum field theories.
@ Spin, fermion fields: Nolland & Mansfield IJMPA(00) [fermions, Schrödinger representation];
Iliev ht/04 [spin-1/2, momentum picture];
Forte LNP(07)ht/05 [spin-statistics, path integrals, etc];
Kirillov & Savelova a0810 [instability from topology fluctuations];
Dvoeglazov JPCS(11)-a1008 [field operators and acausal solutions];
Trifonov JPA(12)-a1207 [non-linear fermions of degree n];
> s.a. dirac quantum field theory; ising model.
@ Vector fields: van Hees ht/03 [massive vector fields, renormalizability];
Djukanovic et al IJMPA(10)-a1001 [massive vector bosons, path integral];
Dvoeglazov JPCS(11)-a1008 [field operators and acausal solutions];
Silenko PRD(14)-a1404 [in a non-uniform magnetic field, Foldy-Wouthuysen Hamiltonian].
@ Spin-3/2 fields: Qiu et al IJGMP(06)ht [in Minkowski spacetime];
Savvidy a1005,
a1111 [electromagnetic interactions];
Hack & Makedonski PLB(13)-a1106 [no-go result].
@ Spin-2 fields:
Leclerc gq/06 [Faddeev-Jackiw quantization].
@ Theories of connections: Ashtekar et al JMP(95)gq;
Bojowald & Kastrup CQG(00)ht/99 [symmetry reduction];
Lewandowski et al CMP(06) [uniqueness of representations];
Okołów CMP(09)gq/06 [diffeomorphism-invariant, non-compact G];
> s.a. QED; QCD.
@ Higher-spin fields: Mühlhoff a1103 [fermions in curved spacetimes]
Tóth EPJC(13)-a1209 [projection-operator approach];
Taronna PhD-a1210;
Toth IJMPA(14)-a1309 [with reversed spin-statistics relation];
Grumiller et al JHEP(14)-a1403 [no-go result];
Schroer FP(15)-a1407 [Hilbert-space setting];
Rivasseau EPL(15)-a1507 [tensor field theories, asymptotic freedom];
> s.a. Weinberg-Witten Theorem.
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