Threshold bound states and zero modes of fermions in a self-dual Chern-Simons vortex background

Journal Article · Thu Mar 14 23:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1919· OSTI ID:5621037

Grignani, G ^[1]; Nardelli, G ^[2]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science (USA) Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (USA) Instituto Nazionale di Fisica Nucleare, Sezione di Perugia, via Pascoli 06100, Perugia (Italy)
2. Center for Theoretical Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (USA) Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (USA) Instituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, 38050 Povo, Trento (Italy)

The existence of bound states at the mass threshold and zero modes for fermions interacting with a self-dual Chern-Simons vortex (i.e., a classical solution of the Chern-Simons Abelian Higgs model without the Maxwell term) is investigated. We develop a procedure that allows one to find all the regular solutions of the interacting Dirac equation at the mass threshold. We show, on one hand, that in the minimal coupling zero modes and bound states at threshold do not exist and, on the other hand, that, by adding to the fermion Lagrangian two different types of Higgs-fermion interactions, such modes can be generated for specific values of the coupling constants.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 5621037
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOUND STATE
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DUALITY
EQUATIONS
FERMIONS
FUNCTIONS
GAUGE INVARIANCE
GINZBURG-LANDAU THEORY
HIGGS MODEL
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MASS
MATHEMATICAL MODELS
NUCLEAR POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
POTENTIALS
SCALAR FIELDS
SUPERSYMMETRY
SYMMETRY
WAVE EQUATIONS
YUKAWA POTENTIAL