Effective Quantum Field Theories |
In General > s.a. Effective Field Theories;
techniques in quantum field theory.
* Idea: Effective equations
describe quantum corrections on the evolution of a state as the back-reaction
of moments on the expectation values of the state.
@ Intros, reviews: Burgess hp/98-conf,
ARNPS(07)-ht/07;
Ecker ht/05-en;
Weinberg a0908-proc [past and future];
Balsiger et al a2005-proc [problem solutions];
Penco a2007-ln;
Weinberg a2101-talk.
@ General references: Schwinger PR(51);
DeWitt PRP(75);
Ellicott & Toms NPB(89)
[covariant under general field redefinitions];
Blau et al IJMPA(91)-a0906
[one-loop effective action in a constant electromagnetic field];
D'Hoker & Weinberg PRD(94)hp;
Scharnhorst IJTP(97) [functional integral equation];
Dalvit PhD(98)ht;
Barvinsky & Mukhanov PRD(02)ht [calculation of non-local part];
Branchina et al EPJC(04)ht/03 [and quantum equations of motion];
Raab mp/07 [representation];
Shore NPB(07) [superluminality and UV completion];
Schakel 08 [in condensed matter];
Donoghue a0909-conf [limitations];
Polonyi & Siwek PRD(10) [boundary conditions and consistency];
Nair PRD(12)-a1109
[relationship between the quantum effective action and the wave functions of a field theory, and the YM case];
Toms 07; Polonyi PRD(14)-a1407 [closed-time-path extension];
Hamilton JLMS(16)-a1502 [two constructions];
Burgess 20.
@ Effective potential:
Norimatsu et al PRD(87);
O'Connor & Stephens PRD(88);
Hochberg et al cm/99,
PRE(99)cm [stochastic partial differential equations],
PhyA(00)cm/99 [massless KPZ equation],
JSP(00)cm/99 [reaction-diffusion-decay system].
@ Effective field theory in curved spacetime:
Kleinert & Chervyakov IJMPA(03);
Shapiro ht/04-proc [applications];
Fucci JMP(09)-a0906 [scalar and spinor field electrodynamics].
@ Heat-kernel method: Antonsen & Bormann ht/97 [Schwarzschild spacetime, s = 0, 1/2, 1],
ht/99 [FLRW models, s = 0, 1/2, 1];
Avramidi NPPS(02)mp/01 [rev],
LNP(10)-a0812 [for quantum gravity].
@ Conceptual: Castellani SHPMP(02)phy/01 [and reductionism];
Carroll a2101-ch [and the core theory for everyday life].
@ Related topics: Georgi PRL(07)
+ pw(07)jun ['unparticle' stuff];
Dunne et al PRD(11)-a1103 [spinor fields, small-mass limit];
Torrieri a1306
[coarse-graining and unitarity violations];
Codello et al EPJC(16)-a1505 [effective action from the functional renormalization group equation];
> s.a. anomalies; heat;
physical theories.
At Finite Temperature
> s.a. quantum field theory in curved backgrounds.
@ General references:
Zinn-Justin hp/00-ln [intro];
Sarkar et al IJP(02)ht/00 [spectral representation of propagator];
Boyanovsky NJP(15)-a1503 [out of equilibrium];
Boyanovsky a1801
[density matrix, entanglement and thermal entropy for light scalar with traced out heavy scalars].
@ Integrable field theories: Mussardo JPA(01)ht;
Delfino JPA(01) [1-point functions].
@ Other theories:
Toms cm/96 [and BEC];
Añaños JMP(06)
[scalar φ6 field in 2+1 dimensions].
Quantum Gravity
> s.a. action for general relativity; formulations of general
relativity; loop quantum cosmology; semiclassical quantum gravity.
* Requirements: If a theory is
to be unitary and causal at high energies, at low energies the corresponding
EFT operators must satisfy certain relations, known as positivity bounds;
These relations can be used together with low-energy observations (cosmology,
gravitational waves, etc) to learn something about the UV theory.
@ Intros, reviews: Donoghue ht/94-proc [intro],
HPA(96)gq,
gq/97-MG8 [review];
Burgess LRR(04) [rev];
Donoghue AIP(12)-a1209 [pedagogical].
@ General references: DeWitt PRL(81);
Huggins et al NPB(87);
Odintsov PLB(91);
Buchbinder et al 92;
Vilkovisky CQG(92);
Donoghue PRD(94)gq [quantum corrections];
DeWitt & Molina-Paris MPLA(98)ht;
Avramidi ATMP(10)-a0903;
Espriu & Puigdomenech a0910-ln [quantum corrections to Newton's law];
Burgess a0912-fs;
Codello NJP(12)-a1108 [with N minimally coupled matter fields];
Calmet IJMPD(13)-a1308-GRF;
Codello & Jain CQG(16)-a1507 [covariant effective field theory];
Knorr & Saueressig PRL(18)-a1804 [reconstructing the quantum effective action];
Melville CQG+(18) [positivity bounds];
Valdés-Meller a2105-GRF [non-locality and breakdown of EFT].
@ One-loop effective theory: Espriu et al PLB(05)gq [and cosmology];
> s.a. covariant quantum gravity.
@ Effective average action approach:
Daum & Reuter PoS-a0910 [effective potential];
Satz et al PRD(10)-a1006 [and low-energy effective action];
> s.a. quantum-gravity renormalization.
@ Applications: Hartle PRL(77) [graviton production in the early universe];
Codello & Jain CQG(16)-a1507 [cosmology];
Banks a1910
[ideas in effective quantum field theory without a counterpart in genuine models of quantum gravity].
@ Related topics: Reuter PRD(98)ht/96 [evolution equation];
Bonanno & Reuter PRD(02)ht/01,
PLB(02)ap/01 [and quantum cosmology, renormalization];
Manrique et al AP(11) [bimetric truncation];
> s.a. beyond the standard model; emergent
gravity; modified newtonian gravity.
Other Theories > s.a. yang-mills theories.
@ Scalar fields: Haba ht/02
[λφ4 in quantized metric];
Refaei & Takook MPLA(11)-a1109
[one-loop effective action, in Krein-space quantization];
Bojowald & Brahma a1411 [canonical derivation of effective potentials].
@ In QED: Dittrich & Reuter 85;
Gies PRD(99)hp [at finite T],
PRD(00)hp/99 [finite T and B];
Refaei & Takook PLB(11)-a1109
[one-loop effective action, in Krein-space quantization];
Dittrich a1401 [and QCD, in the one-loop approximation];
Borges et al NPB(19)-a1906 [photon effective action].
@ In QCD: Mocsy et al hp/04-conf;
> s.a. QCD effects and phenomenology.
@ In Yang-Mills gauge theory:
Frolov & Slavnov NPB(90);
DeWitt & Molina-Paris ht/95;
Freyhult IJMPA(02) [SU(2)];
Haba ht/02 [in quantized metric];
Arnone et al PRD(03)ht/02 [gauge-invariant];
Bilal AP(08) [gauge invariance];
Avramidi ATMP(10)-a0903;
Dietrich PRD(09)-a0904 [and fluctuations around classical configurations].
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