CaltechAUTHORS
  A Caltech Library Service

Borel Summability of the Ground-State Energy in Spatially Cutoff (ϕ^4)_2

Simon, Barry (1970) Borel Summability of the Ground-State Energy in Spatially Cutoff (ϕ^4)_2. Physical Review Letters, 25 (22). pp. 1583-1586. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20180417-153959480

[img] PDF - Published Version
See Usage Policy.

497Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20180417-153959480

Abstract

We show that the ground-state energy for a Hamiltonian H_0 + ∫g(x) : ϕ^4(x) : dx (g∈L^1 ∩ L^2; g >~ 0; H_0 = free Hamiltonian for Bose particle of mass m in space-time of two dimensions) may be determined from the Feynman perturbation series by the method of Borel summability. This demonstrates that summability methods can be applicable to divergent series in systems with a continuous infinity of degrees of freedom.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.25.1583DOIArticle
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
Alternate Title:Borel Summability of the Ground-State Energy in Spatially Cutoff(ϕ4)2
Additional Information:© 1970 American Physical Society. (Received 1 October (1970) Research partially sponsored by the U. S. Air Force Office of Scientific Research under Contract No. AF 49(638)1545.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)AF 49(638)1545
Issue or Number:22
Record Number:CaltechAUTHORS:20180417-153959480
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180417-153959480
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85911
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:19 Apr 2018 15:22
Last Modified:03 Oct 2019 19:37

Repository Staff Only: item control page