Compression algorithm for discrete light-cone quantization

Xiao Pu, Sophia S Chabysheva, John R Hiller

Research output: Contribution to journalArticlepeer-review

Abstract

We adapt the compression algorithm of Weinstein, Auerbach, and Chandra from eigenvectors of spin lattice Hamiltonians to eigenvectors of light-front field-theoretic Hamiltonians. The latter are approximated by the standard discrete light-cone quantization technique, which provides a matrix representation of the Hamiltonian eigenvalue problem. The eigenvectors are represented as singular value decompositions of two-dimensional arrays, indexed by transverse and longitudinal momenta, and compressed by truncation of the decomposition. The Hamiltonian is represented by a rank-four tensor that is decomposed as a sum of contributions factorized into direct products of separate matrices for transverse and longitudinal interactions. The algorithm is applied to a model theory to illustrate its use.

Original languageEnglish (US)
Article number063302
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number6
DOIs
StatePublished - Dec 3 2013

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