Almost zero-dimensional quantum field theories

Journal Article · Tue Dec 15 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.5557· OSTI ID:6892824

Bender, C M; Boettcher, S; Lipatov, L ^[1]

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1. Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)

A new approach is proposed for obtaining nonperturbative information from a quantum field theory using an analytic (non-numerical) procedure. The idea is to expand the Green's functions of the quantum field theory as series in powers of [ital D], the space-time dimension. The leading term in such an expansion is easy to calculate because it requires that we solve the corresponding zero-dimensional field theory. In this paper we develop a strategy for computing the coefficients of higher powers of [ital D]. The [ital D] expansion appears to have a finite radius of convergence. Initial numerical studies suggest that only a small number of terms in the [ital D] expansion are required to obtain accurate results.

• OSTI ID: 6892824
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:12; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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