COMMENT ON THE SLAC RENORMALIZATION-GROUP APPROACH TO THE ISING CHAIN IN A TRANSVERSE MAGNETIC-FIELD

被引:39
作者
FERNANDEZPACHECO, A [1 ]
机构
[1] UNIV SARAGOSSA,DEPT FIS NUCL,SARAGOSSA,SPAIN
来源
PHYSICAL REVIEW D | 1979年 / 19卷 / 10期
关键词
D O I
10.1103/PhysRevD.19.3173
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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. © 1979 The American Physical Society.
引用
收藏
页码:3173 / 3175
页数:3
相关论文
共 8 条
[1]   STRONG-COUPLING FIELD-THEORIES .2. FERMIONS AND GAUGE FIELDS ON A LATTICE [J].
DRELL, SD ;
WEINSTEIN, M ;
YANKIELOWICZ, S .
PHYSICAL REVIEW D, 1976, 14 (06) :1627-1647
[2]   QUANTUM FIELD-THEORIES ON A LATTICE - VARIATIONAL METHODS FOR ARBITRARY COUPLING STRENGTHS AND ISING-MODEL IN A TRANSVERSE MAGNETIC-FIELD [J].
DRELL, SD ;
WEINSTEIN, M ;
YANKIELOWICZ, S .
PHYSICAL REVIEW D, 1977, 16 (06) :1769-1781
[3]   FERMION FIELD-THEORY ON A LATTICE - VARIATIONAL ANALYSIS OF THIRRING MODEL [J].
DRELL, SD ;
SVETITSKY, B ;
WEINSTEIN, M .
PHYSICAL REVIEW D, 1978, 17 (02) :523-536
[4]   FIELD-THEORY ON A LATTICE - ABSENCE OF GOLDSTONE BOSONS IN U(1) MODEL IN 2 DIMENSIONS [J].
DRELL, SD ;
WEINSTEIN, M .
PHYSICAL REVIEW D, 1978, 17 (12) :3203-3211
[5]   STRONG-COUPLING FIELD-THEORY .1. VARIATIONAL APPROACH TO PHI-4 THEORY [J].
DRELL, SD ;
WEINSTEIN, M ;
YANKIELOWICZ, S .
PHYSICAL REVIEW D, 1976, 14 (02) :487-516
[6]   ORDER AND DISORDER IN GAUGE SYSTEMS AND MAGNETS [J].
FRADKIN, E ;
SUSSKIND, L .
PHYSICAL REVIEW D, 1978, 17 (10) :2637-2658
[7]   ONE-DIMENSIONAL ISING MODEL WITH A TRANSVERSE FIELD [J].
PFEUTY, P .
ANNALS OF PHYSICS, 1970, 57 (01) :79-+
[8]   MULTIPLE VACUUMS IN A LATTICE FORMULATION OF 2-DIMENSIONAL ABELIAN HIGGS MODEL [J].
QUINN, HR ;
WEINSTEIN, M .
PHYSICAL REVIEW D, 1978, 17 (04) :1063-1072