Algebraic formulation of duality transformations for abelian lattice models

Journal Article · Thu Jul 01 04:00:00 EDT 1982 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(82)90286-X· OSTI ID:7061364

Druehl, K; Wagner, H

We derive duality relations for the generating functional of correlation-functions for disordered (''frustrated'') lattice Higgs and gauge models with arbitrary locally compact abelian symmetry groups. We examine the effects on duality of nontrivial lattice topology and of configurational boundary conditions. Technically, we employ some elementary concepts borrowed from algebraic topology. Combined with Fourier expansions on groups, they provide tools to handle functions on lattices in a very efficient way. For convenience, these concepts are described in some detail in the first part of the paper.

• Research Organization: Sektion Physik der Universitaet Muenchen, D-8000 Muenchen, Germany
• OSTI ID: 7061364
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 141:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CORRELATION FUNCTIONS
DUALITY
FIELD THEORIES
FOURIER TRANSFORMATION
FUNCTIONS
HAMILTONIANS
INTEGRAL TRANSFORMATIONS
LATTICE FIELD THEORY
MATHEMATICAL OPERATORS
MATHEMATICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
TOPOLOGY
TRANSFORMATIONS