Scaling and asymptotic scaling in the SU(2) gauge theory

Fingberg J, Heller UM, Karsch F (1993)
Nuclear Physics, B 392(2): 493-517.

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We determine the critical couplings for the deconfinement phase transition in SU(2) gauge theory on N(tau) x N(sigma)3 lattices with N(tau) = 8 and 16 and N(sigma) varying between 16 and 48. A comparison with string tension data shows scaling of the ratio T(c)/square-root sigma in the entire coupling regime beta = 2.30-2.75, while the individual quantities still exhibit large scaling violations. We find T(c)/square-root sigma = 0.69(2). We also discuss in detail the extrapolation of T(c)/LAMBDA(MSBAR) and square-root sigma/LAMBDA(MSBAR) to the continuum limit. Our result, which is consistent with the above ratio, is T(c)/LAMBDA(MSBAR) = 1.23(11) and square-root sigma/LAMBDA(MSBAR) = 1.79(12). We also comment upon corresponding results for SU(3) gauge theory and four-flavour QCD.
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Fingberg J, Heller UM, Karsch F. Scaling and asymptotic scaling in the SU(2) gauge theory. Nuclear Physics, B. 1993;392(2):493-517.
Fingberg, J., Heller, U. M., & Karsch, F. (1993). Scaling and asymptotic scaling in the SU(2) gauge theory. Nuclear Physics, B, 392(2), 493-517.
Fingberg, J., Heller, U. M., and Karsch, F. (1993). Scaling and asymptotic scaling in the SU(2) gauge theory. Nuclear Physics, B 392, 493-517.
Fingberg, J., Heller, U.M., & Karsch, F., 1993. Scaling and asymptotic scaling in the SU(2) gauge theory. Nuclear Physics, B, 392(2), p 493-517.
J. Fingberg, U.M. Heller, and F. Karsch, “Scaling and asymptotic scaling in the SU(2) gauge theory”, Nuclear Physics, B, vol. 392, 1993, pp. 493-517.
Fingberg, J., Heller, U.M., Karsch, F.: Scaling and asymptotic scaling in the SU(2) gauge theory. Nuclear Physics, B. 392, 493-517 (1993).
Fingberg, Jochen, Heller, U. M., and Karsch, Frithjof. “Scaling and asymptotic scaling in the SU(2) gauge theory”. Nuclear Physics, B 392.2 (1993): 493-517.
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