TY - JOUR

T1 - Critical behavior at finite-temperature confinement transitions

AU - Svetitsky, Benjamin

AU - Yaffe, Laurence G.

N1 - Funding Information:
This work was supported in part by the National Science Foundation under contracts no. PHY77-27084 and no. PHY77-22336 and by the Department of Energy under contract no. DE-AC-03-81ER40050.

PY - 1982/12/13

Y1 - 1982/12/13

N2 - Confinement in a pure gauge theory at non-zero temperature may be discussed in terms of an order parameter which transforms under a global symmetry group, the center of the gauge group. Integrating out all degrees of freedom except this order parameter generates an effective scalar field theory for the order parameter, globally invariant under the center symmetry. We argue that the effective theory possesses only short-range couplings, and hence that the finite-temperature confinement phase transition (when continuous) is accompanied by long-range fluctuations only in the order parameter. Universality ideas then lead to predictions for the critical properties of U(1), Z(N), and SU(N) gauge theories for all dimensionalities of space-time. An explicit renormalization-group calculation is presented for the U(1) gauge theory in (2 + 1) dimensions, the results of which fit the general picture.

AB - Confinement in a pure gauge theory at non-zero temperature may be discussed in terms of an order parameter which transforms under a global symmetry group, the center of the gauge group. Integrating out all degrees of freedom except this order parameter generates an effective scalar field theory for the order parameter, globally invariant under the center symmetry. We argue that the effective theory possesses only short-range couplings, and hence that the finite-temperature confinement phase transition (when continuous) is accompanied by long-range fluctuations only in the order parameter. Universality ideas then lead to predictions for the critical properties of U(1), Z(N), and SU(N) gauge theories for all dimensionalities of space-time. An explicit renormalization-group calculation is presented for the U(1) gauge theory in (2 + 1) dimensions, the results of which fit the general picture.

UR - http://www.scopus.com/inward/record.url?scp=26144452503&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(82)90172-9

DO - 10.1016/0550-3213(82)90172-9

M3 - מאמר

AN - SCOPUS:26144452503

VL - 210

SP - 423

EP - 447

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 4

ER -