Nonrenormalization of the statistical parameter in three-dimensional Chern-Simons QED

Journal Article · Fri Oct 15 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.3918· OSTI ID:6141908

Hong, D K ^[1]; Lee, T ^[2]; Park, S H ^[3]

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1. Department of Physics, Pusan National University, Pusan 609-735 (Korea, Republic of)
2. Department of Physics, Kangwon National University, Chunchon 200-701 (Korea, Republic of)
3. Center for Theoretical Physics, Department of Physics, Seoul National University, Seoul 151-742 (Korea, Republic of)

We compute explicitly the two-loop-order radiative corrections to the statistical parameter in the marginally renormalizable fermion three-dimensional Chern-Simons QED which has only the kinetic Chern-Simons term for the gauge field. Whether or not the fermion is massive, there are no infinite corrections. However, we find some finite corrections in the theory with massless fermions. We also argue that the statistical parameter is not subject to the infinite radiative corrections from the ultraviolet divergences of the theory at all orders; thus, the [beta] function for the statistical parameter vanishes exactly.

• OSTI ID: 6141908
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 48:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
RADIATIVE CORRECTIONS
THREE-DIMENSIONAL CALCULATIONS
FERMIONS
GAUGE INVARIANCE
MASSLESS PARTICLES
RENORMALIZATION
SUPERCONDUCTIVITY
ULTRAVIOLET DIVERGENCES
CORRECTIONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELEMENTARY PARTICLES
FIELD THEORIES
INVARIANCE PRINCIPLES
PHYSICAL PROPERTIES
662220* - Quantum Electrodynamics- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)