Quantum Field Theory in Different 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 state: Three different ones are commonly used: Boulware vacuum; Unruh vacuum; Hartle-Hawking vacuum: The state (density matrix) of thermal equilibrium at temperature T = /8kM in Schwarzschild spacetime, which corresponds to sending in a thermal distribution from past null infinity.
@ 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.
@ 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 a0901 [renormalized stress-energy tensor]; Dappiaggi et al a0907 [Unruh state, Hadamard property].
@ 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].
@ 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]; Lin & Soo CQG(99) [Schwarzschild-de Sitter]; Matyjasek PRD(01)gq/00 [Reissner-Nordström]; Farese JPCS(06)-ht/05 [2D extremal Reissner-Nordström].
@ 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].

Different Backgrounds > s.a. FRW models; klein-gordon fields; matter in quantum gravity; maxwell theory; stochastic quantization.
* de Sitter: Free scalar fields in de Sitter space have a one-parameter family of states invariant under the de Sitter group, including the standard thermal vacuum; Except for the thermal, Bunch-Davies vacuum, these states are unphysical when gravitational interactions are included [@ Kaloper et al JHEP(02)ht].
@ General references: Kay gq/97-in [algebraic, rev]; Hollands AdP(01)gq/00 [with symmetries]; Moretti CMP(08)gq/06, gq/06-in [asymptotically flat, and holography].
@ 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 gq/98-PhD; Fernández & Cabo PRD(07)-a0707 [massive scalar on black string]; > s.a. cosmic strings.
@ Scalar field in ergoregion: Kang PRD(97)gq, gq/97-in.
@ Rindler space: Daniels PLB(97) [massless scalar]; Gabriel & Spindel AP(00)gq/99 [charged scalar]; Oriti gq/00/CQG [spinor].
@ de Sitter: Allen PRD(85) [vacuum]; Wyrozumski CQG(88), Molina-Paris gq/97-in, Sarkar & Biswas IJMPA(00) [particles]; Bros et al CMP(98) [framework]; Bertola et al PLB(99)ht [and higher-dimensional Minkowski]; Pol'shin JPA(00)ht [massless Klein-Gordon, spinor]; Spradlin et al ht/01-ln [conformal field theory]; Goldstein & Lowe PRD(03)ht/02; Garidi et al JMP(03)ht [massive spin-2]; Collins ht/03-in [-vacua and divergences]; Collins & Holman PRD(04)ht/03 [new propagator]; Finelli et al PRD(05)gq/04 [graviton, regularization]; Brunetti et al JHEP(05) [alpha vacua]; Greene et al JHEP(06)ht/05 [correction to Bunch-Davies]; 't Hooft & Nobbenhuis CQG(06)gq [vacuum with zero energy]; Redmount PRD(06) [energy of wavepackets and detector response]; Losic & Unruh PRD(06)gq [gravitational backreaction]; Joung et al JHEP(06)ht, JHEP(07)-a0707 [group theoretical]; Gazeau & Lachièze-Rey ht/06 [survey]; Gómez & Villaseñor CQG(08)-a0712 [no unitary dynamics]; Marolf & Morrison CQG(09)-a0808 [1+1, group averaging and de Sitter-invariant states]; Akhmedov & Buividovich PRD(08)-a0808 [interacting theories are non-unitary]; Higuchi a0809 [tree-level instability]; Poon a0901-PhD [time evolution is not unitarily implementable for pure Klein-Gordon].
@ Anti-de Sitter: Caldarelli NPB(99) [scalar]; Bros & Epstein CMP(02); Rivelles IJMPA(03)ht-in [scalar, AdS-cft].
@ Other cosmological background: Kandrup PRD(90) [gravitational instanton]; Bytsenko et al PRP(96) [constant curvature]; Woodard ap/05 [inflation, secular effects]; Vitenti & Müller PRD(06)gq [Bianchi I, and backreaction]; Barrow et al PRD(08)-a0807 [sudden singularities]; > s.a. FRW spacetime.
@ Acausal: Boulware PRD(92); Friedman et al PRD(92); Cassidy CQG(97) [divergence in L_eff]; 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].
@ Quantum spacetime: Bahns et al CMP(03)ht [UV-finite]; Foster & Jacobson JHEP(04)ht [growing lattice]; Ashtekar et al PRD(09)-a0901 [cosmological]; > s.a. quantum field theory [generalized].
@ Other backgrounds: Hiscock CQG(90) [monopole]; Cabral & Rivelles ht/95-wd, CQG(00)ht/99 [degenerate]; Friedman & Higuchi PRD(95)gq [non t-orientable]; Hiscock CQG(97)gq [warp drive]; 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]; Gottschalk & Thaler AIHP(03)mp/04 [non-stationary]; > s.a. boundaries in field theory; discrete spacetime; topology change models; wormholes.

Lower-Dimensional > s.a. quantum klein-gordon fields.
@ References: 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 [⁶ in 2+1 Bianchi I].

Higher-Dimensional
@ References: Baulieu ht/02-in [brane-type].

Topological Effects > s.a. superselection; theta sectors.
@ General references: Isham PRS(78) [twisted fields]; Avis & Isham in(79); DeWitt et al PhyA(79); Sorkin JPA(79); Avis in(81); Isham in(84).
@ Multiply connected, flat: Tanaka & Hiscock PRD(95) [massive scalars]; Gamboa PLB(00)ht/99 [fermions].
@ Other backgrounds: Govaerts & Villanueva IJMPA(00)qp/99 [inequivalent bundles]; Hatanaka et al ht/00-in [non-simply connected]; Dowker JPA(05)ht/04 [lens spaces]; Haba JPA(05)ht [with boundary]; Langlois gq/05-PhD [and Hawking-Unruh effect]; Sutter & Tanaka PRD(06)gq [vacuum energy density with non-trivial topology].

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