Five loop renormalization group functions of O(n) symmetric phi**4 theory and epsilon expansions of critical exponents up to epsilon**5

Kleinert, H.; Neu, J.; Schulte-Frohlinde, V.; Chetyrkin, K.G.; Larin, S.A.

doi:10.1016/0370-2693(91)91009-K

Five loop renormalization group functions of O(n) symmetric phi4 theory and epsilon expansions of critical exponents up to epsilon5

H. Kleinert
(
- Freie U., Berlin
)
,
J. Neu
(
- Freie U., Berlin
)
,
V. Schulte-Frohlinde
(
- Freie U., Berlin
)
,
K.G. Chetyrkin
(
- Moscow, INR
)
,
S.A. Larin
(
- Moscow, INR
)

1991

6 pages

Published in:

Phys.Lett.B 272 (1991) 39-44,
Phys.Lett.B 319 (1993) 545 (erratum)

Published: 1991

e-Print:

hep-th/9503230 [hep-th]

DOI:

View in:

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Abstract:

Motivated by the discovery of errors in six of the 135 diagrams in the published five-loop expansions of the

\beta

-function and the anomalous dimensions of the

{ O}(n)

-symmetric

\phi~4

-theory in D=4-\ep dimensions we present the results of a full analytic reevaluation of all diagrams. The divergences are removed by minimal subtraction and \ep-expansions are given for the critical exponents

\eta

,

\nu

, and

\omega

up to order

\epsilon~5

.

phi**n model: 4
symmetry: O(N)
renormalization group
epsilon expansion
critical phenomena

References(31)

Figures(0)

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