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Titolo:
ADHM construction of instantons on the torus
Autore:
Ford, C; Pawlowski, JM; Tok, T; Wipf, A;
Indirizzi:
DESY, D-15738 Zeuthen, Germany DESY Zeuthen Germany D-15738DESY, D-15738 Zeuthen, Germany Dublin Inst Adv Studies, Dublin 4, Ireland Dublin Inst Adv Studies Dublin Ireland 4 Adv Studies, Dublin 4, Ireland Univ Tubingen, Inst Theoret Phys, D-72072 Tubingen, Germany Univ TubingenTubingen Germany D-72072 t Phys, D-72072 Tubingen, Germany Univ Jena, Inst Theoret Phys, D-07743 Jena, Germany Univ Jena Jena Germany D-07743 Inst Theoret Phys, D-07743 Jena, Germany
Titolo Testata:
NUCLEAR PHYSICS B
fascicolo: 1-2, volume: 596, anno: 2001,
pagine: 387 - 414
SICI:
0550-3213(20010226)596:1-2<387:ACOIOT>2.0.ZU;2-X
Fonte:
ISI
Lingua:
ENG
Soggetto:
YANG-MILLS THEORY; GAUGE-THEORY; MODEL; TRANSFORMATION; TEMPERATURE; PROJECTION; MONOPOLES; TOPOLOGY;
Keywords:
instantons; ADHM construction; Nahm transformation;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
45
Recensione:
Indirizzi per estratti:
Indirizzo: Ford, C DESY, Platanenallee 6, D-15738 Zeuthen, Germany DESY Platanenallee6 Zeuthen Germany D-15738 738 Zeuthen, Germany
Citazione:
C. Ford et al., "ADHM construction of instantons on the torus", NUCL PHYS B, 596(1-2), 2001, pp. 387-414

Abstract

We apply the ADHM instanton construction to SU(2) gauge theory on T-n x R4-n for n = 1, 2, 3, 4. To do this we regard instantons an T-n x R4-n as periodic (modulo gauge transformations) instantons on R-4, Since the R-4 topological charge of such instantons is infinite the ADHM algebra takes place on an infinite dimensional linear space. The ADHM matrix M is related to a Weyl operator (with a self-dual background) on the dual torus (T) over tilde(n). We construct the Weyl operator corresponding to the one-instantons onTn x R4-n. In order to derive the self-dual potential on T-n x R4-n it is necessary to solve a specific Weyl equation. This is a variant of the Nahm transformation. In the case n = 2 (i.e., T-2 x R-2) we essentially have an Aharonov-Bohm problem on (T) over tilde (2). In the one-instanton sector wefind that the scale parameter, lambda, is bounded above, lambda (2)(V) over tilde < 4<pi>, (V) over tilde being the volume of the dual torus (T) overtilde (2). (C) 2001 Elsevier Science B.V, All rights reserved.

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Documento generato il 02/07/20 alle ore 22:23:37