Quantum
Field Theory in Different
Backgrounds| Quantum
Field Theory in Different
Backgrounds |
In General > see phase transition; 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 = 
/8
kM 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.
@ Kerr: Unruh PRD(74);
Cognola PRD(98)gq/97 [entropy];
Ottewill & Winstanley
PRD(00)gq,
PLA(00)gq [stress-energy];
Duffy & Ottewill 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-dS]; Matyjasek PRD(01)gq/00 [Reissner-Nordström];
Farese ht/05-in
[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; kaluza-klein;
klein-gordon fields;
matter in quantum gravity;
maxwell theory; quantum
dirac fields.
* 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 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].
@ deSitter: 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].
@ 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]; > s.a. FRW
spacetime.
@ 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].
@ Quantum spacetime: Bahns et al CMP(03)ht [UV
finite]; Foster & Jacobson
JHEP(04)ht [growing
lattice]; > 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].
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
11 jul 2008