Chern-Simons theory with matter fields: Broken-symmetry phase

Journal Article · Wed Aug 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.1179· OSTI ID:6360331

Boyanovsky, D ^[1]

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1. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA (USA)

A U(1) Chern-Simons theory interacting with a complex scalar field is quantized in 2+1 dimensions in the broken-symmetry phase. In the limit when the Higgs field becomes very massive the low-lying excitations correspond to a charge-neutral massive boson with {ital canonical} {ital statistics}. The angular momentum has an anomaly and in the broken-symmetry phase the ground state is not rotational invariant. The angular momentum of excitations relative to that of the ground state is well defined, canonical, and without anomalies.

• OSTI ID: 6360331
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMMUTATION RELATIONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
GAUGE INVARIANCE
GOLDSTONE BOSONS
HIGGS BOSONS
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PHASE TRANSFORMATIONS
POSTULATED PARTICLES
QUANTIZATION
SCALAR FIELDS
SCHROEDINGER PICTURE
SYMMETRY BREAKING
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS