Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-07-12
Physica A 321 (2003) 114-123
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 pages, 2 figures; proceedings of StatPhys-Taiwan 2002
Scientific paper
10.1016/S0378-4371(03)00023-2
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.
Hamasaki Toshiyuki
Nishimori Hidetoshi
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