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Driving Operators Relevant: A Feature of Chern-Simons Interaction | | Wei Chen
; Miao Li
; | | Date: |
28 Oct 1992 | | Journal: | Phys.Rev.Lett. 70 (1993) 884-887 | | Subject: | hep-th cond-mat | | Affiliation: | U of British Columbia) and Miao Li (UC Santa Barbara | | Abstract: | By computing anomalous dimensions of gauge invariant composite operators $(arpsipsi)^n$ and $(phi^*phi)^n$ in Chern-Simons fermion and boson models, we address that Chern-Simons interactions make these operators more relevant or less irrelevant in the low energy region. We obtain a critical Chern-Simons fermion coupling, ${1over kappa_c^2} = {6over 19}$, for a phase transition at which the leading irrelevant four-fermion operator $(arpsipsi)^2$ becomes marginal, and a critical Chern-Simons boson coupling, ${1over kappa_c^2} = {6over 34}$, for a similar phase transition for the leading irrelevant operator $(phi^*phi)^4$. We see this phenomenon also in the $1/N$ expansion. | | Source: | arXiv, hep-th/9210149 | | Services: | Forum | Review | PDF | Favorites | |
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