Published September 27, 1982 | Version v1
Journal article Metadata-only

Variational discussion of the Hamiltonian Z(N) spin model in 1+1 and 2+1 dimensions

Creators

  • 1. International Centre for Theoretical Physics, Trieste (Italy)
  • 2. Istituto Nazionale di Fisica Nucleare, Trieste (Italy)
  • 3. Scuola Internazionale Superiore di Studi Avanzati, Trieste (Italy)
  • 4. Trieste Univ. (Italy). Ist. di Fisica Teorica

Description

We study the Z(N) spin model, as well as its limiting forms for N → infinity by means of a variational approach. We find, for 1 + 1 dimensions, the two transitions of the model separating the disordered, massless and ordered phases. In the case of 2 + 1 dimensions, we obtain only the disorder-order phase transition which implies for N → infinity single confining phase for the dual U(1) gauge theory. (orig.)

Additional details

Publishing Information

Journal Title
Nucl. Phys., B
Journal Volume
210
Journal Issue
2
Series
Nucl. Phys., B.
Journal Page Range
142-154
ISSN
0550-3213

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
14729695
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BAG MODEL; HAMILTONIANS; ISING MODEL; LATTICE FIELD THEORY; ORDER-DISORDER TRANSFORMATIONS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; U-1 GROUPS; UNIFIED GAUGE MODELS; VARIATIONAL METHODS
Descriptors DEC
CONSTRUCTIVE FIELD THEORY; CRYSTAL MODELS; EXTENDED PARTICLE MODEL; FIELD THEORIES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTICLE MODELS; PHASE TRANSFORMATIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SYMMETRY GROUPS; U GROUPS