Compression algorithm for discrete light-cone quantization

被引:0
作者
Pu, Xiao [1 ]
Chabysheva, Sophia S. [1 ]
Hiller, John R. [1 ]
机构
[1] Univ Minnesota, Dept Phys, Duluth, MN 55812 USA
来源
PHYSICAL REVIEW E | 2013年 / 88卷 / 06期
关键词
D O I
10.1103/PhysRevE.88.063302
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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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页数:7
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