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Published November 30, 1970 | Published
Journal Article Open

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

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.

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Published - PhysRevLett.25.1583.pdf

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Created:
August 19, 2023
Modified:
October 18, 2023