Scaling of gauge balls and static potential in the confinement phase of the pure U(1) lattice gauge theory

Cox J, Franzki W, Jersak J, Lang CB, Neuhaus T, Seyfried A, Stephenson PW (1998)
In: NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. 63. ELSEVIER SCIENCE BV: 691-693.

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We investigate the scaling behaviour of gauge-ball masses and static potential in the pure U(1) lattice gauge theory on toroidal lattices. An extended gauge field action -Sigma(p)(beta cos Theta p + gamma cos 2 Theta(p)) is used with gamma = -0.2 and -0.5. Gauge-ball correlation functions with all possible lattice quantum numbers are calculated. Most gauge-ball masses scale with the non-Gaussian exponent nu(ng) approximate to 0.36. The A(1)(++) gauge-ball mass scales with the Gaussian value nu(g) approximate to 0.5 in the investigated range of correlation lengths. The static potential is examined with Sommer's method. The long range part scales consistently with nu(ng) but the short range part tends to yield smaller values of nu. The beta-function, having a UV stable zero, is obtained from the running coupling. These results hold for both gamma values, supporting universality. Consequences for the continuum limit of the theory are discussed.
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Cox J, Franzki W, Jersak J, et al. Scaling of gauge balls and static potential in the confinement phase of the pure U(1) lattice gauge theory. In: NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. Vol 63. ELSEVIER SCIENCE BV; 1998: 691-693.
Cox, J., Franzki, W., Jersak, J., Lang, C. B., Neuhaus, T., Seyfried, A., & Stephenson, P. W. (1998). Scaling of gauge balls and static potential in the confinement phase of the pure U(1) lattice gauge theory. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 63, 691-693.
Cox, J., Franzki, W., Jersak, J., Lang, C. B., Neuhaus, T., Seyfried, A., and Stephenson, P. W. (1998). “Scaling of gauge balls and static potential in the confinement phase of the pure U(1) lattice gauge theory” in NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, vol. 63, (ELSEVIER SCIENCE BV), 691-693.
Cox, J., et al., 1998. Scaling of gauge balls and static potential in the confinement phase of the pure U(1) lattice gauge theory. In NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. no.63 ELSEVIER SCIENCE BV, pp. 691-693.
J. Cox, et al., “Scaling of gauge balls and static potential in the confinement phase of the pure U(1) lattice gauge theory”, NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, vol. 63, ELSEVIER SCIENCE BV, 1998, pp.691-693.
Cox, J., Franzki, W., Jersak, J., Lang, C.B., Neuhaus, T., Seyfried, A., Stephenson, P.W.: Scaling of gauge balls and static potential in the confinement phase of the pure U(1) lattice gauge theory. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. 63, p. 691-693. ELSEVIER SCIENCE BV (1998).
Cox, J, Franzki, W, Jersak, J, Lang, CB, Neuhaus, Thomas, Seyfried, A, and Stephenson, PW. “Scaling of gauge balls and static potential in the confinement phase of the pure U(1) lattice gauge theory”. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. ELSEVIER SCIENCE BV, 1998.Vol. 63. 691-693.
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