Non-perturbative Vevs from a local expansion.

Jaramillo, A.; Mansfield, P.

Abstract

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.

Citation

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

• Journal Article Type: Article
• Publication Date: 1998-09
• Journal: Acta Physica Polonica B
• Print ISSN: 0587-4254
• Publisher: Jagiellonian University
• Peer Reviewed: Peer Reviewed
• Volume: 29
• Issue: 9
• Pages: 2487-2492
• Public URL: https://durham-repository.worktribe.com/output/1628741
• Publisher URL: http://www.actaphys.uj.edu.pl/_cur/store/vol29/pdf/v29p2487.pdf
• Related Public URLs: http://arXiv.org/abs/hep-th/9807032