Comment on the SLAC renormalization-group approach to the Ising chain in a transverse magnetic field
- 15 May 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 19 (10), 3173-3175
- https://doi.org/10.1103/physrevd.19.3173
Abstract
It is shown that the critical parameters obtained for the Ising chain in a transverse field by using the SLAC naive renormalization-group approach can be easily and considerably improved. This is obtained after doing a convenient trick so that site and link terms of the Hamiltonian of the theory are treated in a symmetric way. In particular, the critical coupling constant and the critical thermal exponent obtained with our method are the exact known results of this model.Keywords
This publication has 8 references indexed in Scilit:
- Field theory on a lattice: Absence of goldstone bosons in the U(1) model in two dimensionsPhysical Review D, 1978
- Order and disorder in gauge systems and magnetsPhysical Review D, 1978
- Multiple vacuums in a lattice formulation of the two-dimensional Abelian Higgs modelPhysical Review D, 1978
- Fermion field theory on a lattice: Variational analysis of the Thirring modelPhysical Review D, 1978
- Quantum field theories on a lattice: Variational methods for arbitrary coupling strengths and the Ising model in a transverse magnetic fieldPhysical Review D, 1977
- Strong-coupling field theories. II. Fermions and gauge fields on a latticePhysical Review D, 1976
- Strong-coupling field theory. I. Variational approach totheoryPhysical Review D, 1976
- The one-dimensional Ising model with a transverse fieldAnnals of Physics, 1970