States in Quantum Field Theory |
In General > s.a. entanglement;
Lamb Shift; photon;
Plasma; states in quantum mechanics.
@ Space of states: Kijowski RPMP(76) [as a direct limit];
Field & Hughston JMP(99) [geometry, coherent states].
@ Using projective techniques: Okołów CQG(13)-a1304;
Lanéry & Thiemann JGP(17)-a1411,
JGP(17)-a1411,
a1411
[projective limits, states as projective families of density matrices];
Kijowski & Okołów JMP(17)-a1605 [modified construction].
@ Criteria for physically reasonable states: Lechner & Sanders a1511 [modular nuclearity].
Semiclassical States, Classicality > s.a. Classicalization;
decoherence; semiclassical quantum mechanics.
* Idea: Two ways of obtaining the
classical limit of a quantum field theory are to do a semiclassical expansion of
the generating function for correlation functions, and to use 't Hooft's approach
and calculate the N → ∞ limit of a Yang-Mills theory.
@ General references:
Komar PR(64) [macroscopic distinguishability];
Hepp CMP(74) [correlation functions];
Maslov & Shvedov TMP(98)ht/97 [divergences and renormalization];
Anastopoulos IJTP(99);
Lisewski qp/99 [hydrodynamic limit];
Shvedov ht/01,
JMP(02)ht/01;
Aarts & Berges PRL(02) [far from equilibrium];
Honegger & Rieckers LMP(03) [semiclassical bosonic states];
Park LMP(07)-a0705 [semiclassical theories and Frobenius manifolds];
Mahajan & Padmanabhan GRG(08)-a0708,
GRG(08)-a0708 [and particle production];
Yokomizo & Barata JMP(09)-a0907 [non-uniqueness of classical limits and particles vs field];
Burgess et al JCAP(10)-a1005 [breakdown of semiclassical methods];
González-Arroyo & Nuevo PRD(12)-a1205 [quantum corrections to time evolution];
Marian & Marian PRA(13)-a1308 [relative entropy as an exact measure of non-Gaussianity];
Cattaneo et al a1311-ln
[semiclassical quantization, and Abelian Chern-Simons theory];
Varela a1404 [as decoherence-free-subspace].
@ Coupled / hybrid quantum and classical fields:
Juárez-Aubry et al a1907 [initial-value problem].
@ Quantum to classical transition:
Lombardo PhD(98)gq;
Everitt et al PRA(09)-a0710;
> s.a. classical limit of quantum mechanics.
@ Degree of classicality:
Malbouisson & Baseia PS(03).
@ And phase transitions: Lombardo et al IJTP(02)hp,
IJTP(02)hp;
Kim & Lee PRD(02);
Rivers & Lombardo BJP(05)ht/04-conf,
IJTP(05)ht/04-proc;
Lombardo et al PLB(07)hp.
@ Coarse-graining: Lombardo & Mazzitelli PRD(96) [and decoherence];
Anastopoulos PRD(97)ht/96,
gq/98.
@ Perturbative approach: Shvedov ht/04,
ht/05 [axiomatic].
@ Field in semiclassical background: Naudts et al ht/02 [model for electromagnetism in quantum spacetime].
@ Pseudoclassical paths: Oaknin PRD(03)ht [for fermions].
> Special states: see coherent states;
field theory [localized states]; Squeezed States.
> Related topics: see game theory [matter-field interaction];
phenomenology; renormalization; scattering.
Other Types of States
> s.a. fock space [number states]; vacuum.
* Non-equilibrium states: The best-known
applications are to electronic transport in normal metals and superconductors.
* Non-linear generalized geometric states:
State that interpolate between number states and non-linear pure thermal states.
@ Bound states:
Shebeko & Shirokov PPN(01)nt;
Camblong & Ordóñez IJMPA(04)ht/01 [path integral];
Liu a1811 [new formalism].
@ Thermal states: Khanna et al 09;
Küskü PhD(08)-a0901 [almost-equilibrium states in FLRW spacetimes];
Solveen CQG(10)-a1005 [local thermal equilibrium in flat and curved spacetimes];
Ortíz a1102
[on cylindrically compactified 2D Minkowski space];
Sanders IJMPA(13)-a1209 [linear scalar field in stationary spacetimes];
Solveen CQG(12)-a1211 [in curved spacetimes];
Gransee et al a1508,
ch(16)-a1602 [local thermal equilibrium states];
> s.a. thermodynamic systems.
@ Non-equilibrium states: Niemi PLB(88);
Niégawa ht/98 [perturbation theory];
Buchholz et al AP(02)hp/01;
Berges NPA(02),
NPA(02)hp [and classical field theory];
Berges AIP(04)hp [intro];
Berges & Borsányi EPJA(06)ht/05-in [from first principles];
Zanella & Calzetta ht/06 [renormalization and damping];
Gasenzer & Pawlowski PLB(08) [functional renormalization-group approach];
Rammer 07;
Calzetta & Hu 08;
Kamenev 11 [functional approach];
Hack & Verch a1806 [interacting Klein-Gordon field, steady-state].
@ Other states: Nieto PLA(97)qp/96 [displaced / squeezed number states];
Sebawe Abdalla et al PS(08) [non-linear generalized geometric states];
Banisch et al CQG(13)-a1205 [states on timelike hypersurfaces].
Specific Theories
> s.a. dirac theory; modified electromagnetism;
QED; modified QED.
@ Scalar field:
Shvedov ht/04 [covariant approach].
> Semiclassical theories: see
qed phenomenology; semiclassical
general relativity; semiclassical quantum gravity.
Related Topics and Properties > s.a. quantum fields
in curved spacetime [Hadamard and other states] and effects in
curved spacetime [vacuum].
@ Degree of polarization: Klimov et al PRA(05)qp [as distance from set of unpolarized states].
> Other topics:
see effective quantum field theories;
klein-gordon fields [symmetry reduction].
main page
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– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 25 jul 2019