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Durham University

Department of Mathematical Sciences

Academic Staff

Publication details for Professor Emeritus Paul Mansfield

Jaramillo, A. & Mansfield, P. (1998). Non-perturbative Vevs from a local expansion. Acta Physica Polonica B 29(9): 2487-2492.

Author(s) from Durham


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 Schrödinger-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, Λ. The resulting series is not expected to converge for Λ larger than the mass-gap but studying the domain of analyticity of the VEVs allows us to use analytic continuation to estimate the large-Λ limit. Scalar theory in 1 + 1 dimensions is analyzed, where (as in the case of Yang-Mills ) we do not expect boundary divergences.