Two-dimensional light-front φ4 theory in a symmetric polynomial basis

Matthias Burkardt, Sophia S Chabysheva, John R Hiller

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Abstract

We study the lowest-mass eigenstates of φ1+14 theory with both odd and even numbers of constituents. The calculation is carried out as a diagonalization of the light-front Hamiltonian in a Fock-space representation. In each Fock sector a fully symmetric polynomial basis is used to represent the Fock wave function. Convergence is investigated with respect to the number of basis polynomials in each sector and with respect to the number of sectors. The dependence of the spectrum on the coupling strength is used to estimate the critical coupling for the positive-mass-squared case. An apparent discrepancy with equal-time calculations of the critical coupling is resolved by an appropriate mass renormalization.

Original languageEnglish (US)
Article number065006
JournalPhysical Review D
Volume94
Issue number6
DOIs
StatePublished - Sep 9 2016

Bibliographical note

Funding Information:
This work was supported in part by the Minnesota Supercomputing Institute through grants of computing time and (for M.B.) supported in part by the U.S. DOE under Grant No.FG03-95ER40965.

Publisher Copyright:
© 2016 American Physical Society.

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