CRITICAL EXPONENTS IN 3 DIMENSIONS FROM A SCALAR-FIELD THEORY WITH GAUSSIAN PROPAGATOR

被引：1

作者：

BERVILLIER, C ^{[1
]}

DROUFFE, JM ^{[1
]}

GODRECHE, C ^{[1
]}

机构：

[1] LAB PHYS THEOR & HAUTES ENERGIES, F-75221 PARIS, FRANCE

来源：

PHYSICAL REVIEW B | 1979年 / 20卷 / 05期

关键词：

D O I：

10.1103/PhysRevB.20.2097

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Critical exponents are derived from a 4 field theory with a Gaussian propagator. They arise from the study of the singular behavior of the correlation functions in two coupling constants. The corresponding double series are resummed through a Padé variational procedure. A check of universality is provided since our numerical estimates agree with the already known values. © 1979 The American Physical Society.

引用

页码：2097 / 2100

页数：4

共 11 条

[1]

Baker G. A., 1975, ESSENTIALS PADE APPR

[2] ISING-MODEL CRITICAL INDEXES IN 3 DIMENSIONS FROM CALLAN-SYMANZIK EQUATION [J].

BAKER, GA ;

NICKEL, BG ;

GREEN, MS ;

MEIRON, DI .

PHYSICAL REVIEW LETTERS, 1976, 36 (23) :1351-1354

[3] HIGH-TEMPERATURE EXPANSION WITHOUT LATTICE [J].

BENZI, R ;

MARTINELLI, G ;

PARISI, G .

NUCLEAR PHYSICS B, 1978, 135 (03) :429-444

[4] COMPARISON BETWEEN LARGE-ORDER ESTIMATES AND PERTURBATION SERIES IN A SCALAR FIELD-THEORY WITH GAUSSIAN PROPAGATOR [J].

BERVILLIER, C ;

DROUFFE, JM ;

ZINNJUSTIN, J ;

GODRECHE, C .

PHYSICAL REVIEW D, 1978, 17 (08) :2144-2159

[5]

Brezin E., 1976, PHASE TRANSITIONS CR, V6

[6] SUMMATION METHOD FOR A CLASS OF SERIES WITH DIVERGENT TERMS [J].

FOGLI, GL ;

PELLICORO, MF ;

VILLANI, M .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A, 1971, A 6 (01) :79-+

[7] CRITICAL EXPONENTS FOR N-VECTOR MODEL IN 3 DIMENSIONS FROM FIELD-THEORY [J].

LEGUILLOU, JC ;

ZINNJUSTIN, J .

PHYSICAL REVIEW LETTERS, 1977, 39 (02) :95-98

[8]

PARISI G, 1973 P CARG SUMM SCH

[9]

SYMANZIK K, 1973 P CARG SUMM SCH

[10]

Wilson K. G., 1974, Physics Reports. Physics Letters Section C, V12c, P75, DOI 10.1016/0370-1573(74)90023-4

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