Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 114-123 |
| Number of pages | 10 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 321 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 2003 Apr 1 |
| Externally published | Yes |
| Event | Statphys - Taiwan - 2002: Lattice Models and Complex Systems - Taipei and Taichung, Taiwan, Province of China Duration: 2002 May 26 → 2002 Jun 1 |
Keywords
- Gauge transformation
- Nishimori line
- Periodicity
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics