A light-front coupled-cluster method for quantum field theories
Abstract
The Hamiltonian eigenvalue problem for bound states of a quantum field theory is formulated in terms of Dirac's light-front coordinates and then approximated by the exponential-operator technique of the standard coupled-cluster method. This approximation eliminates any need for the usual approximation of Fock-space truncation. Instead, the exponential operator is truncated and the terms retained are determined by a set of nonlinear integral equations. These equations are solved simultaneously with an effective eigenvalue problem in the valence sector, where the number of constituents is small. Matrix elements can be calculated, with extensions of techniques from standard coupled-cluster theory.
Cite
@article{arxiv.1206.6057,
title = {A light-front coupled-cluster method for quantum field theories},
author = {J. R. Hiller},
journal= {arXiv preprint arXiv:1206.6057},
year = {2012}
}
Comments
6 pages, to appear in the proceedings of the Sixth International Conference on Quarks and Nuclear Physics, April 16-20, 2012, Ecole Polytechnique, Palaiseau, Paris