Critical Indices from Perturbation Analysis of the Callan-Symanzik Equation

Baker, George A., Jr.; Nickel, Bernie G.; Meiron, Daniel I.

doi:10.1103/PhysRevB.17.1365

Critical Indices from Perturbation Analysis of the Callan-Symanzik Equation

George A. Baker, Jr.
(
- Saclay and
- Los Alamos
)
,
Bernie G. Nickel
(
- Guelph U.
)
,
Daniel I. Meiron
(
- MIT
)

May, 1977

26 pages

Published in:

Phys.Rev.B 17 (1978) 1365-1374

DOI:

10.1103/PhysRevB.17.1365

Report number:

SACLAY-DPH-T-77-39

View in:

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Abstract: (APS)

Recent results giving both the asymptotic behavior and the explicit values of the leading-order perturbation-expansion terms in fixed dimension for the coefficients of the Callan-Symanzik equation are analyzed by the the Borel-Leroy, Padé-approximant method for the n-component φ4 model. Estimates of the critical exponents for these models are obtained for n=0, 1, 2, and 3 in three dimensions with a typical accuracy of a few one thousandths. In two dimensions less accurate results are obtained.

FIELD THEORY: SCALAR
RENORMALIZATION GROUP: CALLAN-SYMANZIK EQUATION
PERTURBATION THEORY
APPROXIMATION: BOREL-LEROY
APPROXIMATION: PADE
FIELD THEORY: CRITICAL PHENOMENA

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