Duality transformation for non-Abelian lattice gauge theories

Journal Article · Mon Aug 13 04:00:00 EDT 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.65.813· OSTI ID:6360400

Anishetty, R; Sharatchandra, H S ^[1]

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1. The Institute of Mathematical Sciences, Madras (India)

In non-Abelian lattice gauge theories, the Gauss's-law constraint is solved, enabling gauge-invariant local dynamics. For the 2+1, SU(2) case, the result is a quantum theory of a discretized membrane. Further, this is equivalent to a theory of integer-valued scalars with derivative interactions and a dual'' gauge invariance. This is the dual form of 2+1, SU(2) gauge theory.

• OSTI ID: 6360400
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 65:7; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
GAUGE INVARIANCE
GROUP THEORY
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
LIMITING VALUES
MATHEMATICAL OPERATORS
MATHEMATICS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
QUANTUM OPERATORS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS