TY - JOUR
T1 - Absence of the effects of vortices in the gauge glass
AU - Hamasaki, Toshiyuki
AU - Nishimori, Hidetoshi
N1 - Copyright:
Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.
PY - 2003/4/1
Y1 - 2003/4/1
N2 - We calculate several correlation functions and distribution functions of dynamical variables for the gauge glass and the Villain model using the spin wave approximation and the gauge transformation. The results show that the spin wave approximation gives the exact solutions on the Nishimori line in the phase diagram. This implies that vortices play no role in the thermodynamic behavior of the system as long as some correlation and distribution functions are concerned. These results apply to any dimensions including the two-dimensional case.
AB - We calculate several correlation functions and distribution functions of dynamical variables for the gauge glass and the Villain model using the spin wave approximation and the gauge transformation. The results show that the spin wave approximation gives the exact solutions on the Nishimori line in the phase diagram. This implies that vortices play no role in the thermodynamic behavior of the system as long as some correlation and distribution functions are concerned. These results apply to any dimensions including the two-dimensional case.
KW - Gauge transformation
KW - Nishimori line
KW - Periodicity
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U2 - 10.1016/S0378-4371(03)00023-2
DO - 10.1016/S0378-4371(03)00023-2
M3 - Conference article
AN - SCOPUS:0037379644
SN - 0378-4371
VL - 321
SP - 114
EP - 123
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-2
T2 - Statphys - Taiwan - 2002: Lattice Models and Complex Systems
Y2 - 26 May 2002 through 1 June 2002
ER -