Conserved charges from self-duality

Journal Article · Mon Mar 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.1587· OSTI ID:5422287

Dolan, L; Grady, M

Given a simple self-dual quantum Hamiltonian H = KB+GAMMAB, where K and GAMMA are coupling constants, and the condition the (B,(B,(B,B))) = 16(B,B), then we construct an infinite set of conserved charges Q/sub 2n/; (H,Q/sub 2n/) = 0. In simple models, like the two-dimensional Ising or Baxter eight-vertex, these charges appear in the associated quantum theories and are equivalent to those which result from the transfer-matrix formulation and exact quantum integrability of the system. The power of our result is that it is an operator statement and does not refer to the number of dimensions or the nature of the space-time manifold: lattice, continuum, or loop space. It is suggested how the establishment of this link between duality and integrability could be used to exploit the Kramers-Wannier-type self-duality of the four-dimensional SU (N) gauge theory to find hidden symmetry.

• Research Organization: Rockefeller University, New York, New York 10021
• OSTI ID: 5422287
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSICAL MECHANICS
COUPLING CONSTANTS
DUALITY
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPACE-TIME
SU GROUPS
SYMMETRY GROUPS