Non-Abelian vortices and non-Abelian statistics

Journal Article · Mon Nov 15 00:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.4821· OSTI ID:5948619

Lo, H; Preskill, J ^[1]

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1. California Institute of Technology, Pasadena, California 91125 (United States)

We study the interactions of non-Abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering is typically a multivalued function of the scattering angle. There can be an exchange contribution to the vortex-vortex scattering amplitude that adds coherently with the direct amplitude, even if the two vortices have distinct quantum numbers. Thus two vortices can be indistinguishable'' even though they are not the same.

• DOE Contract Number: FG03-92ER40701
• OSTI ID: 5948619
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 48:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
VORTICES
AHARONOV-BOHM EFFECT
SCATTERING AMPLITUDES
ANYONS
CROSS SECTIONS
MANY-BODY PROBLEM
STATISTICS
THREE-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS
AMPLITUDES
FUNCTIONS
MATHEMATICS
QUASI PARTICLES
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)