TY - JOUR

T1 - A light-front coupled-cluster method for quantum field theories

AU - Hiller, John

PY - 2012/12/1

Y1 - 2012/12/1

N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:84883859228

SN - 1824-8039

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 6th International Conference on Quarks and Nuclear Physics, QNP 2012

Y2 - 16 April 2012 through 20 April 2012

ER -