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arXiv · 1308.4911

Compression algorithm for discrete light-cone quantization

Xiao Pu·Sophia S. Chabysheva·John R. Hiller
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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.

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Xiao Pu, Sophia S. Chabysheva, John R. Hiller. 2013-08-22. Compression algorithm for discrete light-cone quantization. https://doi.org/10.1103/physreve.88.063302

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