English

Application of the light-front coupled-cluster method to $\phi^4$ theory in two dimensions

High Energy Physics - Phenomenology 2014-09-17 v1

Abstract

As a first numerical application of the light-front coupled-cluster (LFCC) method, we consider the odd-parity massive eigenstate of ϕ1+14\phi_{1+1}^4 theory. The eigenstate is built as a Fock-state expansion in light-front quantization, where wave functions appear as coefficients of the Fock states. A standard Fock-space truncation would then yield a finite set of linear equations for a finite number of wave functions. The LFCC method replaces Fock-space truncation with a more sophisticated truncation, one which reduces the eigenvalue problem to a finite set of nonlinear equations without any restriction on Fock space. We compare our results with those obtained with a Fock-space truncation that yields the same number of equations.

Keywords

Cite

@article{arxiv.1407.7139,
  title  = {Application of the light-front coupled-cluster method to $\phi^4$ theory in two dimensions},
  author = {B. Elliott and S. S. Chabysheva and J. R. Hiller},
  journal= {arXiv preprint arXiv:1407.7139},
  year   = {2014}
}

Comments

18 pages, 8 figures, RevTeX 4.1