The two-dimensional XY gauge-glass model, generalized slightly, is investigated by means of the dynamic functional integral formulation. We consider the Langevin dynamics to construct the generating functional for the correlation and the response functions, and compute various renormalization constants, from which the renormalization group recursion relations are derived up to the second order in the vortex fugacity. In contrast to the non-random case, a second-order correction is found to appear in the renormalization equation, the analysis of which reveals, for weak randomness, an algebraically ordered phase. The dynamic exponent is found to take the simple value, two.
|Number of pages||6|
|Journal||Journal of the Korean Physical Society|
|State||Published - Jul 2002|
- Disordered system
- Dynamic renormalization-group analysis
- XY gauge-glass