TY - JOUR
T1 - On confinement index
AU - Konishi, Kenichi
AU - Ookouchi, Yutaka
N1 - Funding Information:
It is a pleasure to thank T. Kawano for collaboration, for reading the manuscript carefully and giving us several useful suggestions. We would like to thank S. Ashok, F. Cachazo, J. Gomis, K. Intriligator, N. Saulina and Y. Tachikawa for useful comments and especially T. Okuda for useful discussions and comments at various stages of this project. Research at Perimeter Institute for Theoretical Physics is supported in part by the Government of Canada through NSERC and by the Province of Ontario through MRI. Y.O. is grateful to University of Pisa for kind hospitality and the organizers of Summer Institute 2009 at Fujiyoshida, Japan, where this work was partly carried out.
PY - 2010/3/1
Y1 - 2010/3/1
N2 - The smallest integer t for which the Wilson loop W t fails to exhibit area law is known as the confinement index of a given field theory. The confinement index provides us with subtle information on the vacuum properties of the system. We study the behavior of the Wilson and 't Hooft loops and compute the confinement index in a wide class of N=1 supersymmetric gauge theories. All possible electric and magnetic screenings are taken into account. The results found are consistent with the θ periodicity, and whenever such a check is available, with the factorization property of Seiberg-Witten curves.
AB - The smallest integer t for which the Wilson loop W t fails to exhibit area law is known as the confinement index of a given field theory. The confinement index provides us with subtle information on the vacuum properties of the system. We study the behavior of the Wilson and 't Hooft loops and compute the confinement index in a wide class of N=1 supersymmetric gauge theories. All possible electric and magnetic screenings are taken into account. The results found are consistent with the θ periodicity, and whenever such a check is available, with the factorization property of Seiberg-Witten curves.
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U2 - 10.1016/j.nuclphysb.2009.10.018
DO - 10.1016/j.nuclphysb.2009.10.018
M3 - Article
AN - SCOPUS:80053156132
SN - 0550-3213
VL - 827
SP - 59
EP - 81
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1-2
ER -