Published November 30, 1970
| Published
Journal Article
Open
Borel Summability of the Ground-State Energy in Spatially Cutoff (ϕ^4)_2
- Creators
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Simon, Barry
Chicago
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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.
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.Attached Files
Published - PhysRevLett.25.1583.pdf
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PhysRevLett.25.1583.pdf
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Additional details
- Alternative title
- Borel Summability of the Ground-State Energy in Spatially Cutoff(ϕ4)2
- Eprint ID
- 85911
- Resolver ID
- CaltechAUTHORS:20180417-153959480
- Air Force Office of Scientific Research (AFOSR)
- AF 49(638)1545
- Created
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2018-04-19Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field