Critical behavior of linear $Φ^{4}$ models with $G \times G^{'}$ symmetry

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1 April 1981

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 23 (7) , 3549-3552
https://doi.org/10.1103/physrevb.23.3549

Abstract

The critical behavior of

Φ^{4}

theories with global symmetry

O (N) \times O (M)

and

U (N) \times U (M)

is investigated to one-loop order in

4 - ε

dimensions. For many values of

N

and

M

, no infrared stable fixed point exists. In both cases, an infrared stable fixed point exists when

N = M = 0

; this limit is relevant to self-interacting, double-stranded polymers.

Keywords

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