OFF-CRITICALITY BEHAVIOR OF THE BLUME-CAPEL QUANTUM CHAIN AS A CHECK OF ZAMOLODCHIKOV CONJECTURE

被引:28
作者
VONGEHLEN, G
机构
[1] Physikalisches Institut der Universität Bonn, D-5300 Bonn 1
关键词
D O I
10.1016/0550-3213(90)90130-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Using finite-size numerical calculations, we study the off-criticality behaviour of the Blume-Capel quantum chain in the neighbourhood of the c = 7 10 tricritical Ising point. Moving from the tricritical point in the ( 1 10, 1 10)- and ( 3 5, 3 5)-directions into the disordered region, we find masses and thresholds in agreement with the structure proposed by Zamolodchikov from conformal field theory. Moving in opposite directions, the spectrum is degenerate between the Z2-even and Z2-odd sectors, suggesting an underlying supersymmetry. The free-particle energy-momentum relation and the scaling properties off criticality are checked. © 1990.
引用
收藏
页码:741 / 756
页数:16
相关论文
共 24 条
[1]   HAMILTONIAN STUDIES OF THE BLUME-EMERY-GRIFFITHS MODEL [J].
ALCARAZ, FC ;
DEFELICIO, JRD ;
KOBERLE, R ;
STILCK, JF .
PHYSICAL REVIEW B, 1985, 32 (11) :7469-7475
[2]  
[Anonymous], 1986, JETP LETT+
[3]   OPERATOR CONTENT OF THE BLUME-CAPEL QUANTUM CHAIN [J].
BALBAO, DB ;
DEFELICIO, JRD .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (04) :L207-L211
[5]   UNIVERSAL AMPLITUDE IN THE SIZES OF RINGS IN 2 DIMENSIONS [J].
CARDY, JL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (16) :L797-L799
[6]  
CHRISTE P, 1989, UCSBTH8919 PREPR SAN
[7]   OFF THE CRITICAL-POINT BY PERTURBATION - THE ISING-MODEL SPIN SPIN CORRELATOR [J].
DOTSENKO, VS .
NUCLEAR PHYSICS B, 1989, 314 (03) :687-706
[8]  
EGUCHI T, 1989, RIFP797 PREPR KYOT
[9]  
FATEEV VA, 1989, 15991 LAND I CHERN P
[10]   SUPERCONFORMAL INVARIANCE IN 2 DIMENSIONS AND THE TRICRITICAL ISING-MODEL [J].
FRIEDAN, D ;
QIU, Z ;
SHENKER, S .
PHYSICS LETTERS B, 1985, 151 (01) :37-43