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Casimir scaling in $S U (2)$ lattice gauge theory

Department of Physics, New York University, 4 Washington Place, New York, New York 10003, USA

^*Electronic address: carlo.piccioni@physics.nyu.edu

Phys. Rev. D 73, 114509 – Published 20 June, 2006

DOI: https://doi.org/10.1103/PhysRevD.73.114509

Abstract

By employing the multilevel algorithm in numerical Monte Carlo simulations, we evaluate the static potential in four dimensional $S U (2)$ lattice gauge theory with no dynamical fermions, for static sources in the $j = \frac{1}{2}, 1, \frac{3}{2}$ representations. We find data supporting the Casimir scaling hypothesis. With the same technique we show that the ratio of the logarithm of Wilson loops in the $j = 2$ and $j = \frac{1}{2}$ representations, as a function of the area of the loops, also satisfies Casimir scaling.

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M. Albanese et al. (APE Collaboration), Phys. Lett. B 192, 163 (1987).
C. Michael, Nucl. Phys. B259, 58 (1985).
M. Luscher and U. Wolff, Nucl. Phys. B339, 222 (1990).
M. Teper, Phys. Lett. B 183, 345 (1987).
G. Parisi, R. Petronzio, and F. Rapuano, Phys. Lett. B 128, 418 (1983).
M. Lüscher and P. Weisz, J. High Energy Phys. 09 (2001) 010.
M. J. Peardon, Nucl. Phys. B, Proc. Suppl. 106, 3 (2002).
P. Majumdar, Nucl. Phys. B664, 213 (2003).
H. B. Meyer, J. High Energy Phys. 01 (2003) 048.
J. Ambjorn, P. Olesen, and C. Peterson, Nucl. Phys. B240, 189 (1984); B240, 533 (1984).
L. Del Debbio, M. Faber, J. Greensite, and S. Olejnik, Phys. Rev. D 53, 5891 (1996); Nucl. Phys. B, Proc. Suppl. 53, 141 (1997).
B. Lucini and M. Teper, Phys. Rev. D 64, 105019 (2001); B. Lucini, M. Teper, and U. Wenger, J. High Energy Phys. 06 (2004) 012.
A. Armoni and M. Shifman, Nucl. Phys. B671, 67 (2003).
F. Gliozzi, J. High Energy Phys. 08 (2005) 063.
S. Deldar, Phys. Rev. D 62, 034509 (2000).
G. S. Bali, Phys. Rev. D 62, 114503 (2000).
G. I. Poulis and H. D. Trottier, Phys. Lett. B 400, 358 (1997).
S. Kratochvila and P. de Forcrand, Nucl. Phys. B671, 103 (2003).
A. M. Brzoska, F. Lenz, J. W. Negele, and M. Thies, Phys. Rev. D 71, 034008 (2005).
M. Faber, J. Greensite, and S. Olejnik, Phys. Rev. D 57, 2603 (1998).
D. Zwanziger, Nucl. Phys. B518, 237 (1998).
M. Creutz, Phys. Rev. D 21, 2308 (1980).
P. de Forcrand and O. Philipsen, Phys. Lett. B 475, 280 (2000).

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Casimir scaling in $S U (2)$ lattice gauge theory

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Casimir scaling in SU(2) lattice gauge theory

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Casimir scaling in $S U (2)$ lattice gauge theory