Hamiltonian approach to Z (N) lattice gauge theories

Journal Article · Fri Jun 15 00:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.19.3715· OSTI ID:5987624

Horn, D; Weinstein, M; Yankielowicz, S

We develop a Hamiltonian formalism for Z (N) lattice gauge theories. Duality is expressed by algebraic operator relations which are the analog of the interchange of electric and magnetic fields in D = 3 space dimensions. In D = 2 duality is used to solve the gauge condition. This leads to a generalized Ising Hamiltonian. In D = 3 our theory is self-dual. For N..-->..infinity the theory turns into ''periodic QED'' in appropriate limits. This leads us to propose the existence of three phases for N > N/sub c/ approx. = 6. Their physical properties can be classified as electric-confining, nonconfining, and magnetic-confining.

• Research Organization: Tel Aviv University, Ramat Aviv, Israel
• OSTI ID: 5987624
• Journal Information: Phys. Rev., D; (United States), Vol. 19:12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
GAUGE INVARIANCE
HAMILTONIANS
BAG MODEL
DUALITY
ELECTRIC FIELDS
EQUATIONS OF MOTION
MAGNETIC FIELDS
PADE APPROXIMATION
QUANTUM ELECTRODYNAMICS
RENORMALIZATION
SU GROUPS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory