English

Compression algorithm for discrete light-cone quantization

High Energy Physics - Phenomenology 2013-12-16 v1 Computational Physics

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.

Keywords

Cite

@article{arxiv.1308.4911,
  title  = {Compression algorithm for discrete light-cone quantization},
  author = {Xiao Pu and Sophia S. Chabysheva and John R. Hiller},
  journal= {arXiv preprint arXiv:1308.4911},
  year   = {2013}
}

Comments

12 pages, 2 figures, RevTeX 4.1

R2 v1 2026-06-22T01:13:31.260Z