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

Austin Usselman, Sophia S. Chabysheva, John R Hiller

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number116011
JournalPhysical Review D
Volume99
Issue number11
DOIs
StatePublished - Jun 13 2019

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scalars
wave functions
eigenvectors
operators
expansion
quenching
valence
approximation
interactions

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Convergence of the light-front coupled-cluster method in a quenched scalar Yukawa theory. / Usselman, Austin; Chabysheva, Sophia S.; Hiller, John R.

In: Physical Review D, Vol. 99, No. 11, 116011, 13.06.2019.

Research output: Contribution to journalArticle

Usselman, Austin ; Chabysheva, Sophia S. ; Hiller, John R. / Convergence of the light-front coupled-cluster method in a quenched scalar Yukawa theory. In: Physical Review D. 2019 ; Vol. 99, No. 11.
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