Differential regularization of a nonrelativistic anyon model

Journal Article · Sat Jan 15 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.1054· OSTI ID:5340638

Freedman, D Z ^[1]; Lozano, G ^[2]; Rius, N ^[3]

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1. Department of Mathematics and Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
2. International Centre for Theoretical Physics, P.O. Box 586, I-34100, Trieste (Italy)
3. Center for Theoretical Physics, Laboratory for Nuclear Science Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

Differential regularization is applied to a field theory of a nonrelativistic charged boson field [phi] with [lambda]([phi][sup *][phi])[sup 2] self-interaction and coupling to a statistics-changing U(1) Chern-Simons gauge field. Renormalized configuration-space amplitudes for all diagrams contributing to the [phi][sup *][phi][sup *][phi][phi] four-point function, which is the only primitively divergent Green's function, are obtained up to three-loop order. The renormalization group equations are explicitly checked, and the scheme dependence of the [beta] function is investigated. If the renormalization scheme is fixed to agree with a previous one-loop calculation, the two- and three-loop contributions to [beta]([lambda],[ital e]) vanish, and [beta]([lambda],[ital e]) itself vanishes when the self-dual'' condition relating [lambda] to the gauge coupling [ital e] is imposed.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 5340638
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:2; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANYONS
BOSONS
CHARGED PARTICLES
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
LIE GROUPS
QUASI PARTICLES
RENORMALIZATION
SCATTERING AMPLITUDES
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS