• Open Access

Convergence of the light-front coupled-cluster method in a quenched scalar Yukawa theory

Austin Usselman, Sophia S. Chabysheva, and John R. Hiller
Phys. Rev. D 99, 116011 – Published 13 June 2019

Abstract

We explore the convergence of the light-front coupled-cluster (LFCC) method in the context of two-dimensional quenched scalar Yukawa theory. This theory is simple enough for higher-order LFCC calculations to be relatively straightforward. The quenching is to maintain stability; the spectrum of the full theory with pair creation and annihilation is unbounded from below. The basic interaction in the quenched theory is only emission and absorption of a neutral scalar by the complex scalar. The LFCC method builds the eigenstate with one complex scalar and a cloud of neutrals from a valence state that is just the complex scalar and the action of an exponentiated operator that creates neutrals. The lowest order LFCC operator creates one; we add the next order, a term that creates two. At this order there is a direct contribution to the wave function for two neutrals and one complex scalar and additional contributions to all higher Fock wave functions from the exponentiation. Results for the lowest order and this new second-order approximation are compared with those obtained with standard Fock-state expansions. The LFCC approach is found to allow representation of the eigenstate with far fewer functions than the number of wave functions required in a converged Fock-state expansion.

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  • Received 7 March 2019

DOI:https://doi.org/10.1103/PhysRevD.99.116011

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsGeneral Physics

Authors & Affiliations

Austin Usselman, Sophia S. Chabysheva, and John R. Hiller

  • Department of Physics and Astronomy, University of Minnesota-Duluth, Duluth, Minnesota 55812, USA

Article Text

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Issue

Vol. 99, Iss. 11 — 1 June 2019

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