Critical exponents and large-order behavior of perturbation theory

E. Brézin; G. Parisi

doi:10.1007/BF01011726

Critical exponents and large-order behavior of perturbation theory

E. Brézin^*
, G. Parisi

^*Corresponding author for this work

Institut de Physique Théorique
École Normale Supérieure

Research output: Contribution to journal › Article › peer-review

107 Scopus citations

Abstract

The principles of the recent calculations of critical exponents from three- and two-dimensional field theory are reviewed. They rely on the Callan-Symanzik equations, diagram calculations, and on the characterization of the asymptotic behavior of perturbation series at large order. We then present new results concerning the normalization of the large-order behavior.

Original language	English
Pages (from-to)	269-292
Number of pages	24
Journal	Journal of Statistical Physics
Volume	19
Issue number	3
DOIs	https://doi.org/10.1007/BF01011726
State	Published - Sep 1978
Externally published	Yes

Keywords

Callan-Symanzik equations
Critical exponents
asymptotic behavior
perturbation theory

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10.1007/BF01011726

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title = "Critical exponents and large-order behavior of perturbation theory",

abstract = "The principles of the recent calculations of critical exponents from three- and two-dimensional field theory are reviewed. They rely on the Callan-Symanzik equations, diagram calculations, and on the characterization of the asymptotic behavior of perturbation series at large order. We then present new results concerning the normalization of the large-order behavior.",

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author = "E. Br{\'e}zin and G. Parisi",

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AU - Parisi, G.

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AB - The principles of the recent calculations of critical exponents from three- and two-dimensional field theory are reviewed. They rely on the Callan-Symanzik equations, diagram calculations, and on the characterization of the asymptotic behavior of perturbation series at large order. We then present new results concerning the normalization of the large-order behavior.

KW - Callan-Symanzik equations

KW - Critical exponents

KW - asymptotic behavior

KW - perturbation theory

UR - https://www.scopus.com/pages/publications/0039674893

U2 - 10.1007/BF01011726

DO - 10.1007/BF01011726

M3 - 文章

AN - SCOPUS:0039674893

SN - 0022-4715

VL - 19

SP - 269

EP - 292

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3

ER -

Critical exponents and large-order behavior of perturbation theory

Abstract

Keywords

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