Non-Local Field Theories| Non-Local Field Theories |
In General
> s.a. locality in quantum field theory.
* Examples: The fractional
Klein-Gordon field or modified gravity inspired by quantum loop corrections.
@ General references: Bergman et al PRD(02)ht/01 [and gravity duals];
Gomis et al NPB(04) [physical degrees of freedom];
Soloviev TMP(06) [and non-commutative, axiomatic];
Chicone & Mashhoon AdP(07)-a0708 [from accelerated frames].
@ Phenomenology: Belenchia et al PRD(16)-a1605 [low-energy signatures];
> s.a. higgs mechanism.
@ Special aspects: Calcagni et al PLB(08)-a0712 [localization];
Barnaby NPB(11)-a1005 [initial-value problem];
Addazi IJMPA(16)-a1505 [classicalization as a cure for acausal divergences];
Kegeles & Oriti JPA-a1506 [generalized conservation laws];
Tomboulis PRD(15)-a1507 [initial-value problem, loss of uniqueness];
Belenchia et al PRD(17)-a1707 [exponential suppression of signaling by the non-locality scale];
Saravani CQG(18)-a1801
[path-integral formulation, and dual formulation in terms of local fields];
Basa et al a1907
[classification, area versus volume entanglement];
Buoninfante et al a2001 [theories with ghost-free propagators].
> Special aspects: see causality [action
at a distance]; hamiltonian systems; noether theorem.
Specific Types of Theories > s.a. higher-order
gravity theories [infinite-order]; higher-order lagrangians.
@ Gauge theories: Capri et al AP(08) [and renormalizability];
Modesto et al PRD(16)-a1506 [Yang-Mills and QED];
> s.a. formulations of electromagnetic theory.
@ Bi-local theories: Naka et al PTP(05)ht/04 [q-deformed];
Diaz et al a1609,
Diaz et al IJMPD(18)-a1705 [bilocal scalar field model, and gravity].
@ Other theories: Calcagni & Modesto JPA(14) [string theory].
> Other theories:
see fermions; modified quantum field theories;
scalar fields; special relativity [non-local];
stochastic quantum mechanics.
Non-Local Gravity > s.a. emergent gravity;
massive gravity; Metric-Affine Gravity;
types of higher-order theories.
* Motivation:
Obtain theories with improved UV behavior with respect to general
relativity; Simulate dark matter or dark energy in cosmology.
* Mashhoon's non-local
gravity: A generalization of Einstein's theory of gravitation in
which non-locality is due to the gravitational memory of past events; It
is a dissipative theory, although the damping time scale for gravitational
waves of current observational interest is estimated to be at least of the
order of the age of the universe; The non-local character of gravity
simulates dark matter.
@ General references: Barvinsky PLB(03)ht;
Barvinsky PRD(05)ht [action, and strong coupling];
Koshelev a1112-proc;
Biswas et al a1302-proc [flat space propagator];
Foffa et al PLB(14)-a1311
[apparent ghost-like instabilities do not describe actual propagating degrees of freedom];
Conroy et al PRD(15)-a1509 [D dimensions, graviton propagator, entropy, bouncing cosmology];
Briscese & Pucheu IJGMP(16)-a1511 [Palatini formulation];
Maggiore PRD(16)-a1603
[the non-locality cannot emerge from perturbative quantum loop corrections due to light particles];
Maggiore a1606 [rev];
Belgacem et al JCAP(18)-a1712 [conceptual aspects and cosmology];
Calcagni et al JHEP(18)-a1803 [initial conditions and degrees of freedom];
Woodard a1807-proc [arguments];
Calcagni Univ(18)-a1809 [diffusion method to solve the non-linear field equations];
Boos a2009-PhD [including didactic introduction];
Modesto a2103 [withn matter].
@ Hamiltonian formalism: Klusoň JHEP(11)-a1105;
Joshi et al a1909.
@ Mashhoon proposal: Mashhoon AdP(07)ht/06;
Blome et al PRD(10)-a1002 [Newtonian regime];
Mashhoon in(11)-a1101;
Chicone & Mashhoon JMP(12)-a1111 [modified Poisson equation];
Mashhoon CQG(13)-a1304 [damping of gravitational waves];
Mashhoon PRD(14)-a1409 [non-local generalization of Einstein's equation, and linear approximation];
Mashhoon Gal-a1411 [rev];
Bini & Mashhoon IJGMP(16)-a1605 [conformally flat spacetimes];
Puetzfeld et al PRD(19)-a1903;
Mashhoon & Hehl Univ(19)-a1908 [gravitomagnetism].
@ Other types of theories:
Calcagni & Nardelli PRD(10)-a1004 [inspired by the effective action of p-adic string and string field theory];
Biswas et al PRL(12)-a1110 [ghost-free theories];
Barvinsky PRD(12)-a1112;
Dimitrijevic et al PIM-a1411;
Dragovich SPMS(14)-a1508;
Giaccari & Modesto a1605 [supersymmetric extension];
Amendola et al PRD(17)-a1707 [quantum-gravity inspired];
Modesto & Rachwał JPCS(17)-a1801 [conformally invariant theories, and spacetime singularities];
Tian PRD(18)-a1808 [scalar-tensor theory].
@ As effective dark matter:
Hehl & Mashhoon PLB(09)-a0812,
PRD(09)-a0902;
Barvinsky PLB(12)-a1107 [and effective cosmological constant];
Arraut IJMPD(14)-a1310 [and MONDian dark matter];
> s.a. dark-matter types.
@ As effective dark energy: Arkani-Hamed et al ht/02 [cosmological constant];
Foffa et al IJMPA(14)-a1311;
Maggiore & Mancarella PRD(14)-a1402;
Cusin et al PRD(16)-a1512 [with a Weyl-square term];
> s.a. cosmological-constant problem;
cosmological acceleration.
@ Cosmology, stability: Elizalde et al PRD(12)-a1110 [de Sitter spacetime];
Nersisyan et al PRD(17)-a1610 [in tensorial theories];
Briscese et al PRD(19)-a1901;
> s.a. minkowski spacetime.
@ Structure formation: Dodelson & Park PRD(14)-a1310 [Deser-Woodard model];
Rahvar & Mashhoon PRD(14)-a1401 [galaxies];
Dirian et al JCAP(14)-a1403 [and cosmological perturbations];
Nersisyan et al JCAP(17)-a1701 [Deser-Woodard model];
Roshan & Rahvar ApJ(19)-a1901 [spiral galaxies].
@ Other cosmology: Soussa & Woodard CQG(03)ap [and MOND];
Hamber & Williams MPLA(06)gq/05;
Deser & Woodard PRL(07)-a0706;
Nojiri & Odintsov PLB(08)-a0708;
Koivisto PRD(08);
Tsamis & Woodard JCAP(14)-a1405 [caveat];
Koshelev & Vernov PPN(14)-a1406 [solutions];
Dirian et al JCAP(15)-a1411 [cosmological predictions];
Mitsou a1504-PhD;
Zhang et al JCAP(16)-a1511;
Chicone & Mashhoon JMP(16)-a1510 [Newtonian cosmology];
Dimitrijevic et a proc(16)-a1701 [some solutions];
Chicone & Mashhoon a1703;
> s.a. FLRW models.
@ Quantization: De Felice & Sasaki PLB(15)-a1412 [ghosts];
Talaganis PoS-a1508 [toy model, 1-loop and 2-point functions].
@ Other phenomenology: Kehagias & Maggiore JHEP(14)-a1401 [spherically symmetric static solutions];
Chicone & Mashhoon CQG(16)-a1508 [perihelion precession];
Zhang et al JHEP(16)-a1601 [acausality problem];
Calcagni & Modesto PLB(17)-a1707 [stability of the Schwarzschild singularity];
Calcagni et al PLB(18)-a1803 [black-hole formation and stability];
Giaccari & Modesto a1803 [consistent with causality];
Dialektopoulos et al PRD(19)-a1812 [orbits of stars around Sgr A*];
Belgacem et al JCAP(19)-a1812 [lunar laser ranging];
Nascimento et al a2102 [causality];
> s.a. gravitational radiation;
semiclassical gravity.
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