Dimensional Regularization and Instantons: A Scalar Field Theory Model

Drummond, I.T.; Shore, G.M.

doi:10.1016/0003-4916(79)90097-6

Dimensional Regularization and Instantons: A Scalar Field Theory Model

I.T. Drummond
(
- Cambridge U.
)
,
G.M. Shore
(
- Cambridge U.
)

Nov, 1978

37 pages

Published in:

Annals Phys. 121 (1979) 204

DOI:

10.1016/0003-4916(79)90097-6

Report number:

DAMTP 78/22

View in:

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Abstract: (Elsevier)

Dimensional regularisation is applied to the calculation of an instanton tunnelling amplitude in a model scalar field theory. The principal feature is the introduction of an n -dimensional field configuration (a “quasi-instanton”), which generalises the O (5) invariance of the instanton and provides a basis for extracting the integration over dilatation and translation degrees of freedom from the functional integral measure. It is shown that a conformally invariant definition of orthogonality must be used in relation to the zero-mode eigenfunctions of the small oscillations expansion, irrespective of regularisation. An 0( n + 1) covariant formalism is employed.

field theory: scalar
RENORMALIZATION: REGULARIZATION
FIELD EQUATIONS: INSTANTON
INVARIANCE: CONFORMAL
SYMMETRY: O(N+1)
FEYNMAN GRAPH
FUNCTIONAL ANALYSIS

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