Compression algorithm for discrete light-cone quantization.
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.
Department of Physics, University of Minnesota-Duluth, Duluth, Minnesota 55812, USA.
Xiao
X
Pu
Department of Physics, University of Minnesota-Duluth, Duluth, Minnesota 55812, USA.
Sophia S
SS
Chabysheva
Department of Physics, University of Minnesota-Duluth, Duluth, Minnesota 55812, USA.
John R
JR
Hiller