The Four Loop Metric Beta Function for the Bosonic $\sigma$ Model

Jack, I.; Jones, D.R.T.; Mohammedi, N.

doi:10.1016/0370-2693(89)90031-2

The Four Loop Metric Beta Function for the Bosonic $\sigma$ Model

Nov, 1988

5 pages

Published in:

Phys.Lett.B 220 (1989) 171-175

Published: 1989

DOI:

10.1016/0370-2693(89)90031-2

Report number:

LTH-225,
SHEP-88-89-3

View in:

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Abstract: (Elsevier)

We compute the four-loop (O(α 4 )) metric β-function for the bosonic two-dimensional non-linear σ-model. We employ an indirect method which obviates a significant part of the explicit calculation. Our result enables us to check previous four-loop computations for the supersymmetric σ-model.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
FIELD THEORY: TWO-DIMENSIONAL
INVARIANCE: CONFORMAL
RENORMALIZATION GROUP: BETA FUNCTION
PERTURBATION THEORY: HIGHER-ORDER

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Figures(0)

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