| Issue |
Europhys. Lett.
Volume 34, Number 5, May II 1996
|
|
|---|---|---|
| Page(s) | 355 - 360 | |
| Section | Condensed matter: structure, thermal and mechanical properties | |
| DOI | https://doi.org/10.1209/epl/i1996-00464-8 | |
| Published online | 01 September 2002 | |
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
Received:
8
September
1995
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
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