Short distance properties from large distance behaviour.

Mansfield, P.; Pachos, J.; Sampaio, M.

Abstract

For slowly varying fields the vacuum functional of a quantum field theory may be expanded in terms of local functionals. This expansion satisfies its own form of the Schrödinger equation from which the expansion coefficients can be found. For scalar field theory in 1+1 dimensions we show that this approach correctly reproduces the short-distance properties as contained in the counterterms. We also describe an approximate simplification that occurs for the sine–Gordon and sinh–Gordon vacuum functionals.

Citation

Mansfield, P., Pachos, J., & Sampaio, M. (1998). Short distance properties from large distance behaviour. International Journal of Modern Physics A, 13(23), 4101-4122. https://doi.org/10.1142/s0217751x9800192x

• Journal Article Type: Article
• Publication Date: 1998-09
• Journal: International Journal of Modern Physics A
• Print ISSN: 0217-751X
• Electronic ISSN: 1793-656X
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 13
• Issue: 23
• Pages: 4101-4122
• DOI: https://doi.org/10.1142/s0217751x9800192x
• Public URL: https://durham-repository.worktribe.com/output/1598699
• Related Public URLs: http://arXiv.org/abs/hep-th/9702072