Flux tube solutions in noncommutative gauge theories

By A. Polychronakos. 2000

138 citations recorded by the source corpus.

We derive nonperturbative classical solutions of noncommutative U(1) gauge theory, with or without Higgs field, representing static magnetic flux tubes with arbitrary cross-section. The fields are nonperturbatively different from the vacuum in at least so

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b15486aeec755bab09d5a76ba319e0ea7268d182

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Citations in the corpus

BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field (2000, background): “) Which solution we want is quite clear from several recent papers [6-11].”
Komaba Lectures on Noncommutative Solitons and D-Branes (2001, background): “Results along these lines can be found in [43,44,45,46,47,48,49,50].”
Noncommutative field theory (2001, methodology): “We proceed to discuss analogous solutions in the noncommutative gauge theory (Nekrasov and Schwarz 1998; Polychronakos 2000; Gross and Nekrasov 2000a; Aganagic, Gopakumar, Minwalla, and Strominger 2001; Bak 2000).”
Trieste lectures on solitons in noncommutative gauge theories (2000, background): “as the kernel of the operator D+. In the noncommutative setup one can also deﬁne the operator D+ by the same formula (70). It is a map between two free modules over Aθ: D+ x : V⊗C2 ⊕W O A θ→ V⊗C2 O A (77) which commutes with the right action of Aθ on the free modules. Clearly, E= KerD+ is a right mo”
Introduction to M(atrix) theory and noncommutative geometry (2000, methodology): “ mathematical results used in section 2 can be found in books [8], [6]. The ﬁrst examples of exact soliton solutions in Yang-Mills-Higgs type systems discussed in sections 3.1, 3.2 were considered in [26], [29]. These examples were generalized to a broader set of models in [36], [37], [38]. Our expo”
Exact noncommutative solitons (2000, background): “ar X iv :h ep -t h/ 00 10 06 0v 3 1 J an 2 00 1 hep-th/0010060 EFI-00-38 Exact Noncommutative Solitons Jeffrey A. Harvey, Per Kraus, and Finn Larsen Enrico Fermi Institute and Department of Physics University of Chicago,”
Unstable solitons in noncommutative gauge theory (2000, background): “version of this paper appeared we learnt that the solutions in section 2.1 had been first written down by Polychronakos [ 21 ].”
Quantum field theory on noncommutative spaces (2001, methodology): “At present, noncommutative Yang-Mills theory is believed to be a useful tool in the classification of string backgrounds, the best examples being the discoveries of noncommutative instantons for D = 4 [36], and of solitons in 2+1-dimensional noncommutative gauge theory [37, 38].”