TY - JOUR

T1 - Basis of symmetric polynomials for many-boson light-front wave functions

AU - Chabysheva, Sophia S.

AU - Hiller, John R.

N1 - Publisher Copyright:
© 2014 American Physical Society.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 2014/12/17

Y1 - 2014/12/17

N2 - We provide an algorithm for the construction of orthonormal multivariate polynomials that are symmetric with respect to the interchange of any two coordinates on the unit hypercube and are constrained to the hyperplane where the sum of the coordinates is one. These polynomials form a basis for the expansion of bosonic light-front momentum-space wave functions, as functions of longitudinal momentum, where momentum conservation guarantees that the fractions are on the interval [0,1] and sum to one. This generalizes earlier work on three-boson wave functions to wave functions for arbitrarily many identical bosons. A simple application in two-dimensional φ4 theory illustrates the use of these polynomials.

AB - We provide an algorithm for the construction of orthonormal multivariate polynomials that are symmetric with respect to the interchange of any two coordinates on the unit hypercube and are constrained to the hyperplane where the sum of the coordinates is one. These polynomials form a basis for the expansion of bosonic light-front momentum-space wave functions, as functions of longitudinal momentum, where momentum conservation guarantees that the fractions are on the interval [0,1] and sum to one. This generalizes earlier work on three-boson wave functions to wave functions for arbitrarily many identical bosons. A simple application in two-dimensional φ4 theory illustrates the use of these polynomials.

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U2 - 10.1103/PhysRevE.90.063310

DO - 10.1103/PhysRevE.90.063310

M3 - Article

AN - SCOPUS:84919476243

VL - 90

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 6

M1 - 063310

ER -