Phys. Rev. Lett. 62, 2433–2435 (1989)Correlation length and order of the deconfining phase transitionReceived 8 February 1989; published in the issue dated 22 May 1989 We analyze SU(2) and SU(3) lattice gauge theory on Lt×L2∞ lattices (Lt≤L). By βc we denote the critical coupling at L=∞. In the neighborhood of the deconfining phase transition, at appropriately defined coupling constants β(L,L’), L>L’ [with β(L,L’)→βc for L’→∞], the correlation length ξ scales ∼L/L’ for second- and first-order transitions (ξ=1/E1 with E1 the energy of one unit of ’t Hooft electric flux). Linearization around the couplings β(L,L’) allows the calculation of critical exponents. Numerical results (Lt=4) support a second-order transition for SU(2), but not for SU(3). © 1989 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.62.2433
DOI:
10.1103/PhysRevLett.62.2433
PACS:
11.15.Ha, 05.50.+q
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