High Temperature Series Analysis of $\lambda \phi^4$ in Four-dimensions Field Theory and Logarithmic Corrections to Scaling

Vladikas, A.; Wong, C.C.

doi:10.1016/0370-2693(87)91288-3

High Temperature Series Analysis of $\lambda \phi^4$ in Four-dimensions Field Theory and Logarithmic Corrections to Scaling

A. Vladikas
(
- Glasgow U.
)
,
C.C. Wong
(
- Imperial Coll., London
)

Nov, 1986

7 pages

Published in:

Phys.Lett.B 189 (1987) 154-160

Published: 1987

DOI:

10.1016/0370-2693(87)91288-3

Report number:

IMPERIAL/TP/86-87/8

View in:

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Abstract: (Elsevier)

Using high temperature series expansions of λø 4 4 field theory and their Padé approximants, we have shown that the theory's critical behaviour is characterized by logarithmic corrections to mean field scaling laws. These are related to the triviality of the scaling limit.

field theory: scalar
LATTICE FIELD THEORY: CRITICAL PHENOMENA
EXPANSION: HIGH TEMPERATURE
SCALING: CORRECTION
APPROXIMATION: PADE
APPROXIMATION: MEAN FIELD
RENORMALIZATION GROUP
NUMERICAL CALCULATIONS

References(14)

Figures(0)

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High Temperature Series Analysis of λϕ4\lambda \phi^4λϕ4 in Four-dimensions Field Theory and Logarithmic Corrections to Scaling

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High Temperature Series Analysis of $\lambda \phi^4$ in Four-dimensions Field Theory and Logarithmic Corrections to Scaling