Driving operators relevant: A feature of the Chern-Simons interaction

Journal Article · Mon Feb 15 04:00:00 EST 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.70.884· OSTI ID:7017730

Chen, W ^[1]; Li, M ^[2]

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1. Department of Physics, University of British Columbia, Vancouver, British Columbia, V6T 1Z1 (Canada)
2. Department of Physics, University of California-Santa Barbara, Santa Barbara, California 93106 (United States)

By computing anomalous dimensions of gauge invariant composite operators ([bar [psi]][psi])[sup [ital n]] and ([phi][sup *][phi])[sup [ital n]] in matter--Chern-Simons models, we address the fact that the Chern-Simons interactions make these operators more relevant, or less irrelevant, in the low energy region. We suggest a critical Chern-Simons fermion coupling, 1/[kappa][sub [ital c]][sup 2]=6/19, for a phase transition at which the leading irrelevant operator ([bar [psi]][psi])[sup 2] becomes marginal, and a critical Chern-Simons boson coupling, 1/[kappa][sub [ital c]][sup 2]=6/34, for a similar phase transition for the leading irrelevant operator ([phi][sup *][phi])[sup 4]. We see the phenomenon also in the 1/[ital N] expansion.

• DOE Contract Number: AT03-76ER70023
• OSTI ID: 7017730
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 70:7; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
COUPLINGS
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FIELD THEORIES
FUNCTIONS
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
PERTURBATION THEORY
PHASE TRANSFORMATIONS
PROPAGATOR
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QUANTUM OPERATORS
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