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The vacuum functional at large distances

Mansfield, P.

Authors

P. Mansfield



Abstract

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional can be expanded as a sum of local functionals, however, this does not satisfy the obvious form of the Schrödinger equation. For ϕ4 theory we construct the appropriate equation that this expansion does satisfy. This reduces the eigenvalue problem for the Hamiltonian to a set of algebraic equations. We suggest two approaches to their solution. The first is equivalent to the usual semi-classical expansion whilst the other is a new scheme that may also be applied to theories that are classically massless but in which mass is generated quantum mechanically.

Journal Article Type Article
Publication Date Sep 28, 1995
Deposit Date Jun 16, 2015
Publicly Available Date Jun 16, 2015
Journal Physics Letters B
Print ISSN 0370-2693
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 358
Issue 3-4
Pages 287-296
DOI https://doi.org/10.1016/0370-2693%2895%2901007-d
Public URL https://durham-repository.worktribe.com/output/1628721
Related Public URLs http://arXiv.org/abs/hep-th/9508148

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