Quantum Fields in Curved Backgrounds| Quantum Fields in Curved Backgrounds |
In General > see kaluza-klein theory; phase transitions; QED; quantum dirac fields; quantum klein-gordon fields.
Black Hole > s.a. black-hole radiation;
energy conditions; modified
QED; quantum fields in curved spacetime; Vaidya
Metric; White Hole.
* Vacuum states: Three
different ones are commonly used, the Boulware, Unruh, and Hartle-Hawking
vacuum; The latter is the state (density matrix) of thermal equilibrium at
temperature T = \(\hbar\)/8πkM in Schwarzschild spacetime,
which corresponds to sending in a thermal distribution from past null infinity;
2016, Soft hair results imply that there are infinitely many vacuum states,
differing by the addition of soft hair/particles.
@ General references: Hartle & Hawking PRD(76);
Israel (76); Hawking CMP(80);
Sorkin CQG(87) [stimulated emission];
Harms & Leblanc AP(95),
AP(95);
Wipf ht/98;
Firouzjaee & Ellis a1503 [particle creation];
Barbado et al PRD(16)-a1606 [Perception Renormalized Stress-Energy Tensor, PeRSET].
@ Schwarzschild: Matyjasek PRD(99)gq/98 [Unruh state],
APPB(99)gq/98 [Hartle-Hawking state];
Balbinot et al PRD(01) [vacuum polarizatiom, massless scalar];
Melnikov & Weinstein IJMPD(04)ht/02 [m = 0 Klein-Gordon, unitary];
Rychkov gq/03-wd;
Matyjasek & Tryniecki PRD(09)-a0901 [renormalized stress-energy tensor];
Dappiaggi et al ATMP(11)-a0907 [Unruh state, Hadamard property];
> s.a. entanglement.
@ Kerr: Unruh PRD(74);
Cognola PRD(98)gq/97 [entropy];
Ottewill & Winstanley PRD(00)gq,
PLA(00)gq [stress-energy];
Duffy & Ottewill PRD(08)gq/05 [renormalized stress-tensor];
Ferreira PhD-a1509 [on rotating black hole spacetimes];
Oshita et al a1909 [vacuum decay];
> s.a. dirac fields.
@ Reissner-Nordström: Matyjasek PRD(01)gq/00;
Farese JPCS(06)-ht/05 [2D, extremal].
@ Schwarzschild-de Sitter:
Lin & Soo CQG(99);
Brum & Jorás CQG(15)-a1405 [Hadamard state];
Bhattacharya PRD(18)-a1810 [particle creation].
@ With Killing horizons: Wald in(90);
Jacobson PRD(94)gq [general bifurcate Killing horizon].
@ Other black hole spacetimes: Ortiz & Vendrell PRD(99)ht/97 [collapsing];
Binosi et al PRD(99)gq/98 [2+1 BTZ, scalar];
Belokogne & Folacci PRD(14)-a1404 [Kerr-Newman, massive fields, renormalized stress tensor];
Morley et al CQG(18) [vacuum polarization on topological black holes].
@ Other effects: Balbinot et al NPB(99)ht [vacuum polarization];
Crispino et al CQG(00)gq/99 [radiation by particle];
Milanesi & Mintchev ht/05 [finite T];
Zhang & Yu PRA(11)-a1109 [Casimir-Polder like force on an atom].
Different Backgrounds > s.a. de sitter space;
fields in FLRW spacetimes; klein-gordon fields;
matter in quantum gravity; maxwell theory.
@ General references:
Kay gq/97-proc [algebraic, rev];
Hollands AdP(01)gq/00 [with symmetries];
Moretti CMP(08)gq/06,
gq/06-conf [asymptotically flat, and holography];
Castelló Gomar et al JCAP(12) [spatially flat, Fock quantization of scalar fields];
Sorkin IJGMP(17)-a1703 [based on the Wightman function];
Mishra et al a1810 [conformally flat].
@ Conical / strings: Kay & Studer CMP(91);
Jensen PS(92) [particle production];
Moreira NPB(95)ht;
Bilge et al GRG(98)gq/97;
Brevik et al PRD(98)ht [vacuum fluctuations, point aplitting];
Iellici PhD(97)gq/98;
Fernández & Cabo PRD(07)-a0707 [massive scalar on black string];
> s.a. cosmic strings.
@ Scalar field in ergoregion: Kang PRD(97)gq,
gq/97-proc.
@ Rindler space:
Daniels PLB(97) [massless scalar];
Gabriel & Spindel AP(00)gq/99 [charged scalar];
Oriti gq/00/CQG [spinor];
Soldati & Specchia JModP(15)-a1504 [massless vector fields].
@ Anti-de Sitter space:
Caldarelli NPB(99) [scalar];
Bros & Epstein CMP(02);
Rivelles IJMPA(03)ht-proc [scalar, AdS-cft correspondence];
Greenwood et al PLB(10)-a1007 [particle creation];
Dohse a1602-PhD
[Klein-Gordon theory in the general-boundary formulation];
Dappiaggi & Ferreira RVMP(18)-a1701 [massive scalar field, algebraic quantization];
Ambruş et al IJMPD(18)-a1801-proc [scalar and fermion fields].
@ Other cosmological background: Kandrup PRD(90) [gravitational instanton];
Bytsenko et al PRP(96) [constant curvature];
Woodard NPPS(05)ap [inflation, secular effects];
Vitenti & Müller PRD(06)gq [Bianchi I, and backreaction];
Barrow et al PRD(08)-a0807 [sudden singularities];
Bates & Anderson PRD(10)-a1004 [with big rip];
Matyjasek PRD(18)-a1811 [Bianchi I, and isotropization];
> s.a. FLRW spacetime;
matter in bianchi I spacetime.
@ Non-stationary backgrounds: Gottschalk & Thaler AIHP(03)mp/04;
Cortez et al JCAP(10)-a1004,
PRD(13)-a1212 [unique Fock quantization];
Castelló & Mena PRD(14) [uniqueness of the Fock quantization of scalar fields, and signature change];
Jones et al PRD(17)-a1610 [gravitational-wave background].
@ Related topics: Hiscock CQG(90) [monopole];
Cabral & Rivelles ht/95-wd,
CQG(00)ht/99 [degenerate];
Kay et al CMP(97) [compactly generated Cauchy horizon];
Gupta & Ydri IJMPA(01)ht/00 [null surface];
Hossenfelder et al CQG(03)gq/02 [expanding shell];
Fischetti et al PRL(18)-a1803 [3D, crumpled spaces energetically favored];
> s.a. Alexandrov Sets; boundaries
in field theory; stochastic quantization.
Generalized Backgrounds
> s.a. phenomenology [condensed-matter analogs].
@ Lower-dimensional: Siino CQG(97)gq/96 [2+1, locally dS/AdS, stability];
Page CQG(97)gq/96 [1+1, regularized stress-energy tensor];
Joy & Kuriakose MPLA(03)ht/01 [φ6 in 2+1 Bianchi I];
> s.a. quantum klein-gordon fields.
@ Higher-dimensional:
Baulieu ht/02-proc [brane-type].
@ Acausal: Boulware PRD(92);
Friedman et al PRD(92);
Cassidy CQG(97)
[divergence in Leff];
Sushkov G&C(03)gq/99 [scalar field on cylinder];
Radu & Astefanesei IJMPD(02)gq/01 [scalar in Gödel spacetime];
Cornalba & Costa PRD(06)ht/05 [unitarity in certain cases];
> s.a. causality violations.
@ Topological effects:
Isham PRS(78) [twisted fields];
Avis & Isham in(79);
DeWitt et al PhyA(79);
Sorkin JPA(79);
Avis in(81);
Isham in(84);
Khanna et al PRP(14) [on toroidal topology];
> s.a. superselection rules; theta sectors.
@ Multiply connected:
Tanaka & Hiscock PRD(95) [massive scalars];
Gamboa PLB(00)ht/99 [fermions];
Hatanaka et al ht/00-proc;
Khanna et al AP(11),
PRP(14)-a1409 [on toroidal topologies].
@ Quantum spacetime: Bahns et al CMP(03)ht [UV-finite];
Foster & Jacobson JHEP(04)ht [growing lattice];
Ashtekar et al PRD(09)-a0901 [cosmological];
Dapor et al PRD(13)-a1302 [on quantum FLRW space];
Dapor et al a1305-MG13 [on lqc Bianchi-I spacetimes];
Barrios et al a1512-proc
[massive scalar on vacuum spherically symmetric lqg spacetime];
Moulin et al a1807 [lqg black hole].
@ Other non-trivial topology: Friedman & Higuchi PRD(95)gq [non t-orientable];
Hiscock CQG(97)gq [warp drive];
Govaerts & Villanueva IJMPA(00)qp/99 [inequivalent bundles];
Dowker JPA(05)ht/04 [lens spaces];
Haba JPA(05)ht [with boundary];
Langlois PhD(05)gq [and Hawking-Unruh effect];
Sutter & Tanaka PRD(06)gq [vacuum energy density];
> s.a. topology-change models [including trouser spacetime];
wormholes.
@ Other generalized backgrounds:
Arzano IJGMP(12) [curved momentum space];
Drummond PRD(13)-a1303 [multi-metric backgrounds];
> s.a. deformed minkowski space; discrete
spacetime; generalized theories [including fractal spacetime].
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