The semi-classical approximation for modular operads

Details The semi-classical approximation for modular operads The semi-classical approximation for modular operads

1996-12-06

arxiv.org/abs/alg-geom/9612005v1

Mathematics

Algebraic Geometry

11 pages, amslatex-1.2

Scientific paper

The semi-classical approximation is an explicit formula of mathematical physics for the sum of Feynman diagrams with a single circuit.In this paper, we study the same problem in the setting of modular operads (see dg-ga/9408003); instead of being a number, the interaction at a vertex of valence n is an S_n-module. As an application, we calculate the S_n-equivariant Hodge polynomials of the moduli spaces \Mbar_{1,n}.

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