Nonlinear Renormalization and the Equivalence Theorem

Bonneau, Guy; Delduc, Francois

doi:10.1016/0550-3213(86)90184-7

Nonlinear Renormalization and the Equivalence Theorem

Guy Bonneau
(
- Paris U., VI-VII
)
,
Francois Delduc
(
- Paris U., VI-VII
)

Jul, 1985

11 pages

Published in:

Nucl.Phys.B 266 (1986) 536-546

Published: 1986

DOI:

10.1016/0550-3213(86)90184-7

Report number:

PAR LPTHE-85/29

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Abstract: (Elsevier)

The consequences of a field redefinition on the renormalisability character of a theory are thoroughly studied in the special example of the non-linear σ model in two dimensions. Using a minimal-dimensional method, we show that, although multiplicative renormalisability is lost, the divergences of the new field theory can be reabsorbed through a field-dependent renormalisation of the fields and, for the physical parameters, the same multiplicative renormalisation constants as in the original theory, to all orders of perturbation theory.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
FIELD THEORY: TWO-DIMENSIONAL
FIELD THEORY: WARD IDENTITY
RENORMALIZATION: CALLAN-SYMANZIK EQUATION

References(11)

Figures(0)

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