Solutions
of Gauge Theories| Solutions
of Gauge Theories |
Spherically Symmetric > s.a. quantum
gauge theory; yang-mills
gauge theory.
@ General references: Benguria et al NPB(77);
Schütte AP(92);
Bartnik JMP(97)
[SU(n)];
Borasoy & Lee PLB(99)ht;
Brihaye et al PRD(04)ht [Yang-Mills
in 4+n dimensions];
Maison CMP(05)gq/04 [Yang-Mills-dilaton,
static]; Balasin et al GRG(05)gq/04 [defs,
standard model + gravity]; Lux & Johannsen a0802 [magnetic
monopole on dS background].
@ Singularities: Linhart mp/01-PhD;
Bizon & Tabor PRD(01)mp;
Bizon
APPB(02)mp.
@ Related topics: Brodbeck & Straumann JMP(93)
[Einstein-Yang-Mills, Birkhoff theorem]; Comay
AJP(02) [em,
no spherical radiation].
Other Solutions of Yang-Mills Theories > s.a. instantons; monopoles; solitons.
* Sphalerons: Static,
but unstable, solutions of Yang-Mills theory coupled to some other field which
acts as an attractive force, e.g. Higgs or gravity; They mediate between different
winding numbers and are used for baryogenesis.
* Merons: Singular, globally
non-trivial gauge field configurations with half-integer topological charge
(instantons have integer topological charge).
@ Vacuum: Selivanov & Smilga PRD(01) [on T3]; > s.a. theta
sectors, vacuum.
@ Sphalerons: Kunz & Brihaye PLB(89)
[in Weinberg-Salam theory]; Gal'tsov & Volkov PLB(91)
[in Einstein-Yang-Mills]; Gibbons & Steif PLB(94)ht/93,
PLB(95)hp/94;
Straumann & co; Brihaye & Desoil
MPLA(00)
[gravitating]; Millward & Hirschmann PRD(03)gq/02 [Einstein-Yang-Mills-Higgs,
collapse].
@ In Schwarzschild: Brihaye et al JMP(00)ht [and
dS];
Tekin PRD(02)ht [Euclidean];
Bizon et al CQG(07)-a0704 [late
time tails].
@ Homogeneous: Henneaux JMP(82)
[and isotropic]; Gotay JGP(89)
[reduced phase space].
@ Other symmetries: Forgács & Manton CMP(80);
Hannibal ht/99,
Rabinowitch TMP(06)
[axisymmetric].
@ With other matter: Kleihaus et al PLB(06) [+ dilaton, particle-like].
@ Related topics: Samuel PRL(96)
[merons]; Sarioglu PRD(02)
[Liénard-Wiechert
potentials].
References > s.a. yang-mills gauge
theory [space
of solutions].
@ General: Actor RMP(79);
Izergin et al TMP(79);
Sibner & Uhlenbeck
pr(89); Bor & Montgomery in(90); Klainerman & Machedon
AM(95);
Koshkarov TMP(95)
[non-vacuum, non-sd]; Singleton
TMP(98)ht/99 [from
general relativity].
@ Of (Gauss law) constraint: Majumdar & Sharatchandra PRD(98)ht [decomposition];
Sniatycki CMP(99)
[Yang-Mills-Dirac, solution set]; Salmela JMP(03)ht/02 [SU(3)].
@ Moduli space of solutions: Donaldson JDG(87); Groisser & Parker
JDG(89).
@ Distance between configurations: Groisser & Murray dg/96 [self-dual,
information metric];
Orland ht/96.
@ Of higher-spin theories: Sezgin & Sundell NPB(07)
[4D]; Vasiliev et al TMP(07) [3D, BTZ black hole].
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
11 jun 2008