Duality, quantum vortices, and anyons in Maxwell-Chern-Simons-Higgs theories

Journal Article · Tue Jun 01 00:00:00 EDT 1993 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1006/aphy.1993.1046· OSTI ID:5948145

Marino, E C ^[1]

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1. Princeton Univ., NJ (United States)

The order-disorder duality structure is exploited in order to obtain a quantum description of anyons and vortices in: (a) the Maxwell theory; (b) the Abelian Higgs model; (c) the Maxwell Chern-Simons theory; (d) the Maxwell Chern-Simons-Higgs theory. A careful construction of a charge bearing order operator ([sigma]) and a magnetic flux bearing disorder operator (vortex operator) ([mu]) is performed, paying attention to the necessary requirements for locality. An anyon operator is obtained as the product [var phi]= [sigma][mu]. A detailed and comprehensive study of the euclidean correlation functions of [sigma], [mu], and [var phi] is carried on in the four theories above. The exact correlation functions are obtained in cases a and c. The large distance behavior of them is obtained in cases b and d. The study of these correlation functions allows one to draw conclusions about the condensation of charge and magnetic flux, establishing thereby an analogy with the Ising model. The mass of vortex and anyon excitations is explicitly obtained wherever these excitations are present in the spectrum. The independence between the mechanisms of mass generation for the vortices and for the vector field is clearly exposed. 27 refs., 3 figs.

• OSTI ID: 5948145
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 224:2; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANYONS
CORRELATION FUNCTIONS
CRYSTAL MODELS
DUALITY
FIELD THEORIES
FUNCTIONS
HIGGS MODEL
ISING MODEL
LOCALITY
MAGNETIC FLUX
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUASI PARTICLES