THE DELTA-EXPANSION IN THE LARGE-N LIMIT

被引：62

作者：

GANDHI, SK ^{[1
]}

JONES, HF ^{[1
]}

PINTO, MB ^{[1
]}

机构：

[1] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT PHYS,LONDON SW7 2BZ,ENGLAND

来源：

NUCLEAR PHYSICS B | 1991年 / 359卷 / 2-3期

关键词：

D O I：

10.1016/0550-3213(91)90067-8

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 the linear delta-expansion we study the effective potentials of the O(N)-invariant Gross-Neveu model and (phi-a phi-a)2 theory in the large-N limit. We show that the linear delta-expansion augmented with the optimization scheme partial V/partial-mu = 0, where mu is an arbitrary parameter, reproduces the large-N effective potential exactly. We also show that the higher-order corrections in powers of delta which would be expected to spoil this result are zero.

引用

页码：429 / 440

页数：12

共 16 条

[1]

[Anonymous], 1985, ASPECTS SYMMETRY SEL, DOI DOI 10.1017/CBO9780511565045

[2] PHASE-STRUCTURE OF THE O(N) VECTOR MODEL [J].

BARDEEN, WA ;

MOSHE, M .

PHYSICAL REVIEW D, 1983, 28 (06) :1372-1385

[3] RENORMALIZATION OF TRIAL WAVE FUNCTIONALS USING THE EFFECTIVE POTENTIAL [J].

BARNES, T ;

GHANDOUR, GI .

PHYSICAL REVIEW D, 1980, 22 (04) :924-938

[4] NOVEL PERTURBATIVE SCHEME IN QUANTUM-FIELD THEORY [J].

BENDER, CM ;

MILTON, KA ;

MOSHE, M ;

PINSKY, SS ;

SIMMONS, LM .

PHYSICAL REVIEW D, 1988, 37 (06) :1472-1484

[5] SPONTANEOUS SYMMETRY BREAKING IN O(N) MODEL FOR LARGE N [J].

COLEMAN, S ;

JACKIW, R ;

POLITZER, HD .

PHYSICAL REVIEW D, 1974, 10 (08) :2491-2499

[6] SCALING RELATIONS AND THE DELTA EXPANSION [J].

COOPER, F ;

MOSHE, M .

PHYSICS LETTERS B, 1991, 259 (1-2) :101-105

[7] NONPERTURBATIVE PHYSICS FROM INTERPOLATING ACTIONS [J].

DUNCAN, A ;

MOSHE, M .

PHYSICS LETTERS B, 1988, 215 (02) :352-358

[8] FUNCTIONAL EVALUATION OF EFFECTIVE POTENTIAL [J].

JACKIW, R .

PHYSICAL REVIEW D, 1974, 9 (06) :1686-1701

[9]

Jones H. F., 1990, Nuclear Physics B, Proceedings Supplements, V16, P592, DOI 10.1016/0920-5632(90)90608-W

[10] RENORMALIZATION OF THE LINEAR DELTA-EXPANSION - THE GROSS-NEVEU MODEL [J].

JONES, HF ;

MOSHE, M .

PHYSICS LETTERS B, 1990, 234 (04) :492-496

← 1 2 →