Geodesic
Period integrals, quantum numbers, and confinement in SUSY QCD
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 3, pp. 488-502 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We compute the period integrals on degenerate Seiberg–Witten curves for supersymmetric QCD explicitly and also show how these periods determine the changes in the quantum numbers of the states when passing from the weak- to strong-coupling domains in the mass moduli space of the theory. We discuss the confinement of monopoles at a strong coupling and demonstrate that the ambiguities in choosing the path in the moduli space do not affect the physical conclusions on confinement of monopoles in the phase with condensed light dyons.
Keywords: supersymmetric gauge theory, Riemann surface, integrable system.
Mots-clés : confinement 
@article{TMF_2010_165_3_a5,
     author = {A. V. Marshakov},
     title = {Period integrals, quantum numbers, and confinement in {SUSY} {QCD}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {488--502},
     year = {2010},
     volume = {165},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_165_3_a5/}
}
TY  - JOUR
AU  - A. V. Marshakov
TI  - Period integrals, quantum numbers, and confinement in SUSY QCD
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2010
SP  - 488
EP  - 502
VL  - 165
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2010_165_3_a5/
LA  - ru
ID  - TMF_2010_165_3_a5
ER  - 
%0 Journal Article
%A A. V. Marshakov
%T Period integrals, quantum numbers, and confinement in SUSY QCD
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2010
%P 488-502
%V 165
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2010_165_3_a5/
%G ru
%F TMF_2010_165_3_a5
A. V. Marshakov. Period integrals, quantum numbers, and confinement in SUSY QCD. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 3, pp. 488-502. http://geodesic.mathdoc.fr/item/TMF_2010_165_3_a5/

[1] A. Marshakov, A. Yung, Nucl. Phys. B, 647:1–2 (2002), 3–48, arXiv: hep-th/0202172 | DOI | MR | Zbl

[2] A. Marshakov, A. Yung, Nucl. Phys. B, 831:1–2 (2010), 72–104, arXiv: 0912.1366 | DOI | MR | Zbl

[3] A. Bilal, F. Ferrari, Nucl. Phys. B, 516:1–2 (1998), 175–228, arXiv: hep-th/9706145 | DOI | MR | Zbl

[4] A. Ritz, A. Vainshtein, Nucl. Phys. B, 617:1–3 (2001), 43–70, arXiv: hep-th/0102121 | DOI | Zbl

[5] N. Seiberg, E. Witten, Nucl. Phys. B, 426:1 (1994), 19–52 | DOI | MR | Zbl

[6] N. Seiberg, E. Witten, Nucl. Phys. B, 431:3 (1994), 484–550, arXiv: hep-th/9408099 | DOI | MR | Zbl

[7] A. Hanany, Y. Oz, Nucl. Phys. B, 452:1–2 (1995), 283–312, arXiv: hep-th/9505075 | DOI | MR | Zbl

[8] P. C. Argyres, M. R. Plesser, N. Seiberg, Nucl. Phys. B, 471:1–2 (1996), 159–194, arXiv: hep-th/9603042 | DOI | MR | Zbl

[9] A. Gorsky, A. Marshakov, A. Mironov, A. Morozov, Phys. Lett. B, 380:1–2 (1996), 75–80, arXiv: hep-th/9603140 | DOI | MR

[10] D. Gaiotto, N=2 dualities, arXiv: 0904.2715 | MR

[11] T. Eguchi, K. Maruyoshi, JHEP, 2010, 022, 21 pp., arXiv: 0911.4797 | DOI | Zbl

[12] A. Losev, A. Marshakov, N. Nekrasov, “Small instantons, little strings and free fermions”, From Fields to Strings: Circumnavigating Theoretical Physics, Ian Kogan memorial collection, v. 1, eds. M. Shifman, A. Vainshtein, J. Wheater, World Sci., Singapore, 2005, 581–621, arXiv: hep-th/0302191 | DOI | MR | Zbl

[13] A. Marshakov, N. A. Nekrasov, JHEP, 01 (2007), 104, 39 pp., arXiv: ; А. В. Маршаков, ТМФ, 154:3 (2008), 424–450, arXiv: hep-th/06120190706.2857 | DOI | MR | DOI | MR | Zbl

[14] P. C. Argyres, M. R. Douglas, Nucl. Phys. B, 448:1–2 (1995), 93–126, arXiv: ; P. C. Argyres, M. R. Plesser, N. Seiberg, E. Witten, Nucl. Phys. B, 461:1–2 (1996), 71–84, arXiv: ; T. Eguchi, K. Hori, K. Ito, S.-K. Yang, Nucl. Phys. B, 471:3 (1996), 430–442, arXiv: hep-th/9505062hep-th/9511154hep-th/9603002 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR | Zbl

[15] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, v. 3, Spravochnaya matematicheskaya biblioteka, Ellipticheskie i avtomorfnye funktsii. Funktsii Lame i Mate, Nauka, M., 1967 | MR | MR | Zbl

[16] I. M. Krichever, Comm. Pure. Appl. Math., 47:4 (1992), 437–475, arXiv: hep-th/9205110 | DOI | MR

[17] N. Dorey, JHEP, 11 (1998), 005, 50 pp., arXiv: ; N. Dorey, T. Hollowood, D. Tong, JHEP, 05 (1999), 006, arXiv: hep-th/9806056hep-th/9902134 | DOI | MR | Zbl | DOI

[18] M. Shifman, A. Yung, Phys.Rev. D, 79:12 (2009), 125012, 23 pp., arXiv: 0904.1035 | DOI | MR