Non-perturbative VEVs from a Local Expansion

Details Non-perturbative VEVs from a Local Expansion Non-perturbative VEVs from a Local Expansion

1998-07-03

arxiv.org/abs/hep-th/9807032v1

Acta Phys.Polon. B29 (1998) 2487-2492

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTeX and appb.sty, 2 figures (uses epsf); Talk given at the Workshop on 'The Structure of Mesons, Baryons and Nuclei

Scientific paper

We propose a method for the calculation of vacuum expectation values (VEVs) given a non-trivial, long-distance vacuum wave functional (VWF) of the kind that arises, for example, in variational calculations. The VEV is written in terms of a Schr\"odinger-picture path integral, then a local expansion for (the logarithm of the) VWF is used. The integral is regulated with an explicit momentum cut-off, $\Lambda$. The resulting series is not expected to converge for $\Lambda$ larger than the mass-gap but studying the domain of analyticity of the VEVs allows us to use analytic continuation to estimate the large-$\Lambda$ limit. Scalar theory in 1+1 dimensions is analyzed, where (as in the case of Yang-Mills) we do not expect boundary divergences.

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