Stability of the conventional fixed point of the nonlinear sigma-model in (2 + epsilon)-dimensions
Department of Physics, Simon Fraser
University, Burnaby, British Columbia, V5A 1S6 Canada
Accepted: 20 March 1996
The stability of the conventional fixed point of the nonlinear σ-model in -dimensions has been studied by calculating the anomalous dimensions of leading order symmetric gradient operators. The full dimensions, i.e. the canonical dimensions plus the anomalous dimensions, of these operators at the fixed point are found to be negative and therefore the fixed point is stable against the perturbation of these operators. The results indicate that as far as the O(n) symmetry-breaking regime is concerned, the conventional treatment of this model is adequate.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 03.70.+k – Theory of quantized fields / 05.70.Jk – Critical point phenomena
© EDP Sciences, 1996