Quantum Field Theory| Quantum Field Theory |
In General > s.a. Second Quantization.
* Idea: A physical theory of
particles and their interactions, based on the connection between properties
of quantum fields and particles, incorporating special relativity and quantum
mechanics; 0+1-dimensional quantum field theory is equivalent to quantum mechanics.
* Motivation: Believed to be
the correct fundamental description of all interactions, since there are
"adequate" (renormalizable, phenomenologically reasonable) quantum
field theories for all of them but gravity; No evidence against it yet; Also,
relativistic effects imply that 1-particle wave functions don't have consistent
probabilistic interpretations.
* Allowed fields: Given by linear
representations of the Lorentz group, labelled by m and s.
* Classical picture:
Interactions in terms of forces and potentials are recovered in the static
limit; > s.a. interaction.
* Issues: The no-interaction
result proved in Haag's theorem; The need for renormalization.
Specific aspects:
see approaches; formalism and techniques;
phenomenology and effects; types of quantum field theories.
References
> s.a. astrophysics [applications]; quantum gauge theories;
relativistic quantum mechanics; teaching.
@ General: Schwinger PR(51);
Heisenberg RMP(57);
Schroer ht/06
[existence of interacting quantum field theory].
@ Intros, reviews: Crewther ht/95;
Buchholz & Haag JMP(00)ht/99;
Dine hp/00-conf [applications];
Fredenhagen et al LNP(07)ht/06 [status].
@ Mathematical: Edwards IJTP(81);
Federbush BAMS(87)mar [survey];
Araki 99;
Ticciati 99;
Borcherds & Barnard mp/02-ln;
Abdesselam m.CO/02;
Zeidler 06;
Chen a0803 [and differential geometry];
Dimock 11;
Dereziński & Gérard 13
[r CP(14)#2];
Rinehart a1505 [foundations, Hamiltonian formulation].
@ II: Mandl 59;
Mandl & Shaw 93;
Han 04 [esp quarks and leptons];
Walecka 10;
Ohlsson 11;
Klauber 13 [student-friendly];
Setlur 13 [and classical fields];
Lancaster & Blundell 14 [for the gifted amateur];
Becchi & Ridolfi 14 [and the standard model];
Ilisie 16;
Redmount a1908 [at the introductory level].
@ III: Wentzel 49;
Schweber 61;
Bjorken & Drell 64,
65;
Jost 65;
Dirac 66;
Berezin 66;
Sakurai 67;
Ziman 69;
Beresteski et al 71;
Lifshitz & Pitaevskii 71;
Coleman ln(76)-a1110 [Physics 253a lecture notes];
Nash 78;
Bogoliubov & Shirkov 80;
Itzykson & Zuber 80;
Lee 81;
Bogoliubov & Shirkov 83;
DeWit & Smith 86;
Chang 90;
Greiner 90;
Brown 92;
Gross 93;
Kaku 93;
Sterman 93;
Peskin & Schroeder 95;
Weinberg 95-96;
Greiner & Reinhardt 96;
Elbaz 98;
Huang 98;
Siegel ht/99-text;
Stone 00;
Capri 02;
Bytsenko et al 03 [techniques];
DeWitt 03;
Zee 03;
Srednicki ht/04,
ht/04 [textbook, parts 1+2];
Lahiri & Pal 05;
Maggiore 05;
Nair 05;
Álvarez-Gaumé & Vázquez-Mozo
ht/05-ln,
12;
Srednicki 07;
Das 08;
Banks 08;
Flory et al a1201-ln
[stop worrying about the mathematical shape of the theory];
in Scheck 13;
van Baal 13;
Shchesnovich a1308-ln [second-quantization method];
Coleman 16 [lectures];
D'Auria & Trigiante 16;
Manoukian 16;
Padmanabhan 16;
Baulieu et al 17;
Casalbuoni 17;
Pauchy Hwang & Wu 18;
Gelis 19;
Năstase 19;
Cline a2005-ln [with problems].
@ Texts, axiomatic:
Bogoliubov, Logunov & Todorov 75;
Strocchi 93.
@ Texts, topological methods: Ryder 85;
Nash 91;
Huang 92;
Schwartz 93;
Bandyopadhyay 03;
> s.a. topology in physics.
@ Texts, condensed matter: Abrikosov et al 75;
Wen 04 [and many-body];
Schakel 08 [effective theories];
Altland & Simons 10;
Mudry 14;
Shankar 17;
> s.a. condensed matter.
@ Texts, particle physics: Hatfield 92 [including strings];
Shifman 12 [monopoles, instantons, supersymmetry, etc,
r CP(12)#5];
Kleinert 16;
Schwartz 13,
Han 14 [and the standard model].
@ Texts, other emphasis: Prykarpatsky et al 02 [and non-linear optics];
Grensing 13 [and non-commutative geometry];
Lam 15 [techniques].
@ Problems:
Atkinson & Johnson 04;
Radovanović 06.
@ Collections: Batalin et al ed-87.
> Online resources:
see Sidney Coleman lectures.
Interpretations and Other Conceptual Aspects
> s.a. cellular automata; formalism and techniques;
klein-gordon fields; particle models.
@ Conceptual: Dirac PRS(42);
Auyang 95;
de Souza ht/96 [and classical field theory];
Jackiw ht/96 [effectiveness and reservations];
Tian 96;
news PT(96)jun [evidence];
Cao 99;
Jackiw ht/97;
Schnitzer phy/97;
Wilczek RMP(99)ht/98;
Huggett BJPS(00);
Haag ht/00;
Ruetsche PhSc(02)jun [Hilbert space and algebraic];
Zeh PLA(03)qp/02 [fields and particles];
Strocchi FP(04)ht-in [issues];
Hollands & Wald GRG(04)gq-GRF [not just quantum mechanics of low-energy degrees of freedom];
Hättich 04 [Whiteheadian interpretation];
Krekora et al PRA(06) [difficulties];
Baker BJPS(09) [against field interpretations];
Fraser PhSc(09)oct;
D'Ariano AIP-a1001 [and quantum computation];
Schroer EPJH(13)-a1101 [fluctuations and the Einstein-Jordan conundrum],
SHPMP-a1107 [localization];
Sassoli de Bianchi AJP(13)-a1202 [quantum "fields" are not fields];
Zeh ZfN-a1304;
Egg et al a1701 [on the Fraser-Wallace debate];
Cao 19;
Pavšič 20 [misconceptions];
Skullerud a2011-MS.
@ Ontology: Kuhlmann et al ed-02;
Deckert et al a1608 [based on the Dirac sea];
Durham a1807;
Lazarovici EJPS(18)-a1809 [against fields, superiority of a pure particle ontology].
@ Historical: Schroer FP(10)-a0905 [importance of crossing property];
Close 11;
> s.a. history of quantum theory.
@ Philosophical: Brown & Harré ed-88;
Teller PhSc(90)dec, p95;
Huggett & Weingard PhSc(94)sep;
Weinberg ht/97;
Smeenk & Myrvold SHPMP(11);
Öttinger a1509-book,
18.
@ Pilot-wave interpretation:
Bell PRP(86);
Vigier FP(91)
[non-linear solitons piloted by solutions of linear equations];
in Bohm & Hiley 93;
Holland PRP(93);
Pinto-Neto & Santini GRG(02)gq/00;
Horton et al FP(02) [Klein-Gordon theory];
Potel et al PLA(02)qp [random noise];
Nikolić FPL(04)qp/02 [bosonic quantum field theory];
Nikolić FPL(05)qp/03 [fermions],
PLA(06)ht/05 [and multi-fingered time],
EPJC(05)ht/04,
IJMPD(06)ht [and covariance];
Dürr et al JPA(03) [trajectories, creation/annihilation],
PRL(04)qp/03;
Horton & Dewdney JPA(04) [Klein-Gordon, covariant];
Struyve & Westman in(06)qp,
PRS(07)-a0707 [beables for bosonic degrees of freedom, QED];
Tumulka JPA(07)qp/06;
Colin & Struyve JPA(07)qp [using Dirac sea];
Struyve RPP(10)-a0707 [beables];
Schmelzer FP(10)-a0904 [difficulty from non-significant overlaps];
Nikolić IJMPA(10)-a0904;
Struyve JPCS(11)-a1101 [overview];
> s.a. dirac fields.
@ Hidden variables, other:
Khrennikov NCB(06)ht-in.
@ Classical statistical models:
Wetterich a1111 [for fermions];
Khrennikov JRLR-a1412
[probabilities of photon detection from classical Brownian motion].
@ Interpretations, other: Huggett & Weingard PhSc(96)jun [re Teller 95];
Tommasini JHEP(02)ht [local, causal, statistical];
Colin PLA(03)qp [realistic, deterministic, fermions];
Larsson ht/07 [alternative, quantum jet theory];
Ruetsche 11;
Oldofredi & Öttinger a2011 [dissipative approach];
> s.a. approaches; interpretations of quantum mechanics [modal];
quantum gravity; Relational Blockworld;
wave-function collapse.
@ Related topics: Todorov BulgJP-a1311 [remarks];
Linde EJP(17)-a1907 [visualizing quantum fields].
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