Non-Commutative
Gauge Theories| Non-Commutative
Gauge Theories |
In General > s.a. non-commutative
field theories.
@ General references: Dubois-Violette et al JMP(90),
Chan & Tsou AP(90);
Akman JPAA(97)qa/95 [Lagrangian
quantization]; Langmann APPB(96)ht/96;
Carow-Watamura & Watamura CMP(00)
[on fuzzy sphere]; Terashima JHEP(00)ht [and
ordinary
gauge theory]; Madore et al EPJC(00)ht;
Morita ht/00;
Bak et al PLB(01);
Brace et al IJMPA(02)ht/01-in;
Okawa & Ooguri NPB(01)
[coupling to gravity]; Wess CMP(01)
[non-abelian]; Krykhtin G&C(03)
[Yang-Mills + matter]; Hu & Sant'Anna IJTP(03);
Slavnov PLB(03)
[U(n)]; Behr & Sykora NPB(04)
[on curved non-commutative spacetime]; Floratos & Iliopoulos PLB(06)ht/05;
Habara PTP(06)ht,
Zobin qp/06 [path
integral quantization]; McCabe IJTP(06);
Wess ht/06-in
[rev]; Saha et al ht/06-wd
[not every gauge theory can be extended to non-commutative space]; de Goursac a0710-in
[effective action]; Arai et al PLB(08)
[circumventing no-go theorem].
@ Hamiltonian/Lagrangian formulation: Kase et al PTP(99)ht/98, PTP(99)
[Lagrangian]; Amorim & Farias PRD(02)ht/01 [non-abelian,
Hamiltonian]; Banerjee PRD(03)
[non-commutative E fields and consistency].
@ Lattice
gauge theory: Balachandran et al JGP(98)hl/96;
Ambjørn et al JHEP(00)ht;
O'Connor & Ydri JHEP(06)hl [U(1),
Monte Carlo].
@ Monopoles/solitons: Baez et al CMP(00)ht/98;
Gopakumar et al JHEP(00);
Jiang ht/00;
Nekrasov ht/00-ln.
> Related topics:
see BRST; instanton; Wilson
Loop.
Electromagnetism, QED
@ General references: Riad & Sheikh-Jabbari JHEP(00)ht [dipole
moments]; Kruglov EP(03)qp/02;
Morita PTP(03)ht/02 [Lorentz-invariant];
Berrino et al PRD(03);
Gaete & Schmidt IJMPA(04)ht/03 [Coulomb's
law]; Kauffman IJTP(06)qp/05 [diagrammatic,
including discrete]; Carone & Kwee PRD(06)hp [Lorentz-invariant];
Calmet EPJC(07)ht/06;
Yang a0704 [as
large-N gauge theory]; Madore IJGMP(08)
[and Schwinger's chiral action]; > s.a. modified
electromagnetism.
@ Phenomenology: Chaichian et al PRL(01)ht/00 [H
atom, Lamb shift]; Fu & Sheng PRD(07)ht [corrections
to muon pair production]; Zahn a0707-PhD [dispersion relations].
Different Theories > s.a. BF
theory;
quantum constrained systems; topological
field theories.
* Standard model: In
the non-commutative formulation of Connes and Chamseddine, one of
the three generations of fermions has to possess a massless neutrino.
@ Standard model: Kastler & Schücker TMP(92)ht/01;
Sladkowski IJTP(96)ht/94;
Brout NPPS(98)ht/97;
Wulkenhaar ht/97;
Martín et al PRP(98);
Schucker ht/01-in, ht/03-in;
Wohlgenannt ht/03-in;
Martinetti mp/03 [intro];
Khoze & Levell JHEP(04);
Marculescu ht/05 [different
extensions]; Barrett & Dawe Martins JMP(06),
Dawe Martins JMP(06)
[vacuum]; Barrett JMP(07)ht/06 [Lorentzian];
Connes JHEP(06)ht [with
neutrino mixing]; Chamseddine & Connes JGP(08)-a0706,
PRL(07)-a0706 [explanation
of standard model].
@ Other theories: Lizzi et al MPLA(96)
[unified theories], MPLA(98)
[mirror fermions]; Das & Rey NPB(00)ht [open
Wilson lines]; Saraikin JETP(00)ht [Morita
equivalence]; Mesref NJP(03)ht/02 [map
ordinary → deformed
gauge theory]; Caporaso et al ht/04-in
[topologically
massive]; Banerjee et al PRD(04)ht [and
Lorentz symmetry]; Ivanov & Zupnik TMP(05)
[susy gauge theories]; > s.a. causality and causality
violations, chern-simons, Higgs
Mechanism, theta
sectors.
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
20 jul 2008