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- W3106207855 abstract "We consider replicated $O(N)$ symmetry in two dimensions within the exact framework of scale invariant scattering theory and determine the lines of renormalization group fixed points in the limit of zero replicas corresponding to quenched disorder. A global pattern emerges in which the different critical lines are located within the same parameter space. Within the subspace corresponding to the pure case (no disorder) we show how the critical lines for non-intersecting loops ($-2leq Nleq 2$) are connected to the zero temperature critical line ($N>2$) via the BKT line at $N=2$. Disorder introduces two more parameters, one of which vanishes in the pure limit and is maximal for the solutions corresponding to Nishimori-like and zero temperature critical lines. Emergent superuniversality (i.e. $N$-independence) of some critical exponents in the disordered case and disorder driven renormalization group flows are also discussed." @default.
- W3106207855 created "2020-11-23" @default.
- W3106207855 creator A5012683710 @default.
- W3106207855 creator A5066691008 @default.
- W3106207855 date "2019-02-06" @default.
- W3106207855 modified "2023-09-25" @default.
- W3106207855 title "Critical lines in the pure and disordered <i>O</i>(<i>N</i>) model" @default.
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- W3106207855 doi "https://doi.org/10.1088/1742-5468/aaf716" @default.
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