Quantum
Field Theory| Quantum
Field Theory |
In General > s.a. Second
Quantization; types of quantum field theories.
* 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.
@ Issues: Schroer ht/06 [existence
of interacting quantum field theory]; > s.a. approaches; effects; formalism
and techniques.
References > s.a. quantum
gauge theories; relativistic quantum mechanics.
@ General: Schwinger PR(51);
Heisenberg RMP(57).
@ Intros, reviews: Crewther ht/95;
Buchholz & Haag JMP(00)ht/99;
Dine hp/00-in
[applications]; Fredenhagen et al ht/06-in
[status].
@ Mathematical: 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].
@ II: Mandl 59; Mandl & Shaw 93.
@ 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; Nash 78; Bogoliubov & Shirkov 80; Itzykson & Zuber
80; Lee 81; Bogoliubov & Shirkov 83; DeWit & Smith 86; Chang 88;
Greiner 90; Wu & Pauchy Hwang 91; 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 03; Bytsenko et al 03 [techniques]; DeWitt 03; Zee 03; Srednicki ht/04,
ht/04 [textbook,
parts 1+2]; Maggiore 05; Nair 05; Álvarez-Gaumé & Vázquez-Mozo ht/05-ln;
Srednicki 07; Das 08.
@ Texts, axiomatic: Bogoliubov, Logunov & Todorov 75; Strocchi
93.
@ Texts, topological methods: Ryder 85; Huang 91; Nash 91; Schwartz
93; Bandyopadhyay 03; > s.a. topology in physics.
@ Texts, condensed matter: Wen 04
[and many-body]; Altland & Simons 06; Schakel 08 [effective
theories].
@ Texts, other emphasis: Hatfield 92 [including strings].
@ Problems: Atkinson 04;
Radovanovic 06.
@ Collections: Batalin et al ed-87.
Interpretations and Other Conceptual Aspects > s.a. interpretations
of quantum mechanics [modal]; klein-gordon fields; particles.
@ 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 97, 99; Jackiw ht/97;
Schnitzer
phy/97;
Wilczek RMP(99)ht/98;
Huggett BJPS(00);
Haag ht/00;
Kuhlmann et al ed-02 [ontology]; Ruetsche PhSc(02)
[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].
@ Historical: Darrigol AP-P(84); Schroer RVMP(95)ht/94;
Cini AP(03)
[Jordan's
program]; Schroer a0905 [importance
of crossing
property].
@ Philosophical: Brown & Harré ed-88; Teller ThSc(90),
95;
Huggett & Weingard
PhSc(94)sep;
Weinberg ht/97.
@ Pilot wave: 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]; Nikolic
FPL(04)qp/02 [bosonic
quantum field theory]; Nikolic 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 a0707 [beables];
Schmelzer a0904 [difficulty
from non-significant overlaps]; Nikolic a0904; > s.a. dirac
fields.
@ Hidden variables, other: Khrennikov NCB(06)ht-in.
@ 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]; > s.a. approaches,
quantum gravity, wave
function
collapse.
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may
2009