INSTABILITY OF THE FIXED-POINT OF THE O(N) NONLINEAR SIGMA-MODEL IN 2+ EPSILON DIMENSIONS

被引:25
作者
CASTILLA, GE
CHAKRAVARTY, S
机构
[1] Department of Physics, University of California Los Angeles, Los Angeles
关键词
D O I
10.1103/PhysRevLett.71.384
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We calculate the full dimension (canonical plus anomalous), y2s, of an infinite number of O(N) invariant operators with 2s gradients. We find that for large s (epsilon = d - 2), y2s = 2(1 - s) + epsilon{1 + [s2/(N - 2)][1 + O(1/s)]} + [epsilon2s3/(N - 2)2][2/3 + O(1/s)] + O(epsilon3), correct to two-loop order. Thus, in two-loop order y2s grows even more rapidly than in one-loop order. Even if epsilon is arbitrarily small, one can always find, to two-loop order, operators with positive full dimension by choosing s sufficiently large. We argue that the conventional analysis of this problem may be inadequate.
引用
收藏
页码:384 / 387
页数:4
相关论文
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