Gauge fields on a lattice. II. Gauge-invariant Ising model

R. Balian; J. M. Drouffe; C. Itzykson

doi:10.1103/PhysRevD.11.2098

Access by Xinjiang University

Gauge fields on a lattice. II. Gauge-invariant Ising model

R. Balian, J. M. Drouffe, and C. Itzykson

Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, BP No. 2, 91190 Gif-sur-Yvette, France

PDF

Phys. Rev. D 11, 2098 – Published 15 April, 1975

DOI: https://doi.org/10.1103/PhysRevD.11.2098

Abstract

We study the case of a discrete local gauge group $Z_{2}$ in order to discuss the existence of a transition in dimension $d \geq 3$ . We compute the critical constant for $d = 3 and 4$ and show that in three dimensions the transition is a second-order one.

References (6)

R. Balian, J. M. Drouffe, and C. Itzykson, Phys. Rev. D 10, 3376 (1974)
K. G. Wilson, Phys. Rev. D 10, 2445 (1974)
R. B. Griffiths, J. Math. Phys. 8, 478 (1967) D. G. Kelly and S. Sherman, 9, 466 (1968) R. E. Peierls, Phys. Rev. 54, 918 (1938) Ginibre, in Cargèse Lectures in Physics, 1973 (Gordon and Breach, New York, to be published)
F. J. Wegner, J. Math. Phys. 12, 2259 (1971)
M. Fisher and D. S. Gaunt, Phys. Rev. 133, 225 (1964)
M. Fisher, Phys. Rev. 162, 480 (1967)

[c1] R. Balian, J. M. Drouffe, and C. Itzykson, Phys. Rev. D 10, 3376 (1974)

[c2] K. G. Wilson, Phys. Rev. D 10, 2445 (1974)

[c3] R. B. Griffiths, J. Math. Phys. 8, 478 (1967) D. G. Kelly and S. Sherman, 9, 466 (1968) R. E. Peierls, Phys. Rev. 54, 918 (1938) Ginibre, in Cargèse Lectures in Physics, 1973 (Gordon and Breach, New York, to be published)

[c4] F. J. Wegner, J. Math. Phys. 12, 2259 (1971)

[c5] M. Fisher and D. S. Gaunt, Phys. Rev. 133, 225 (1964)

[c6] M. Fisher, Phys. Rev. 162, 480 (1967)

Physical Review D

Export citation

Export citation

Gauge fields on a lattice. II. Gauge-invariant Ising model

Abstract

See Also

Gauge fields on a lattice. I. General outlook

References (6)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation