TY - JOUR
T1 - A remark on the phase transitions of modified action spin and gauge models
AU - Seiberg, Nathan
AU - Solomon, Sorin
PY - 1983/6/30
Y1 - 1983/6/30
N2 - We consider the phase diagrams of modified action gauge and spin models and concentrate on their periphery - infinitely far from their origins (zero temperature - β-1 = 0). In this limit the exact positions of the phase transitions are found by looking for the global minimum of the single plaquette action (for a spin system - the single link energy). As the parameters of the model are varied, the position of such a global minimum is in general changed. When this changed is non-analytic, a phase transition takes place. The phase structure for finite β is clearly similar, but not identical to the infinite β one. We discuss several finite β corrections that should be applied to the exactly known infinite β picture. We confront our analysis for infinite β2 = ∑iβ2i with the Monte Carlo simulations for two four-dimensional gauge systems: an SU(3) gauge model with action S=-Re∑p(β1trUp+β2(tr Up)2) and an SU(2) model with S=-Re Σp[β1 1 2trUp+β2( 1 2trUp)2+β3( 1 2trU p)3].
AB - We consider the phase diagrams of modified action gauge and spin models and concentrate on their periphery - infinitely far from their origins (zero temperature - β-1 = 0). In this limit the exact positions of the phase transitions are found by looking for the global minimum of the single plaquette action (for a spin system - the single link energy). As the parameters of the model are varied, the position of such a global minimum is in general changed. When this changed is non-analytic, a phase transition takes place. The phase structure for finite β is clearly similar, but not identical to the infinite β one. We discuss several finite β corrections that should be applied to the exactly known infinite β picture. We confront our analysis for infinite β2 = ∑iβ2i with the Monte Carlo simulations for two four-dimensional gauge systems: an SU(3) gauge model with action S=-Re∑p(β1trUp+β2(tr Up)2) and an SU(2) model with S=-Re Σp[β1 1 2trUp+β2( 1 2trUp)2+β3( 1 2trU p)3].
UR - http://www.scopus.com/inward/record.url?scp=48749145811&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(83)90597-X
DO - 10.1016/0370-2693(83)90597-X
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AN - SCOPUS:48749145811
SN - 0370-2693
VL - 126
SP - 236
EP - 240
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -