Scale invariant Euclidean field theory in any dimension

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 16 pages

Scientific paper

10.1063/1.1510971

We discuss D-dimensional scalar field interacting with a scale invariant
random metric which is either a Gaussian field or a square of a Gaussian field.
The metric depends on d-dimensional coordinates (where d is less than D). By a
projection to a lower dimensional subspace we obtain a scale invariant
non-Gaussian model of Euclidean quantum field theory in D-d or d dimensions.

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