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math-phMar 19, 2019
3
citations (OpenAlex)
authors
  • Ramesh Anishetty
  • T P Sreeraj
institutions
  • Institute of Mathematical Sciences
arXiv abstractPDF
paper

Addition of SU(3) generators and its Singlet Hilbert space

arXiv:1903.07956 · doi:10.1063/1.5096613

Abstract

We construct the singlet Hilbert space associated with addition of SU(3) generators. This corresponds to the solution of Gauss law in lattice QCD. The normalized basis states are explicitly constructed using Schwinger Bosons. Further, we compute the action of basic singlet operators on these basis states.

arXiv comment20 pages, 2 figures

References in corpus (11)

  • Harmonic Oscillator Prepotentials in SU(2) Lattice Gauge Theory
  • SU(N) Irreducible Schwinger Bosons
  • Prepotential formulation of SU(3) lattice gauge theory
  • Loop Approach to Lattice Gauge Theories
  • Loop States in Lattice Gauge Theories
  • SU(2) Lattice Gauge Theory- Local Dynamics on Non-intersecting Electric flux Loops
  • Irreducible SU(3) Schwinger Bosons
  • The Schwinger SU(3) construction - I: Multiplicity problem and relation to induced representations
  • A Calculus for SU(3) Leading to an Algebraic Formula for Clebsch-Gordan Coefficients
  • Mass gap in the weak coupling limit of (2+1) SU(2) lattice gauge theory
  • Invariants, Projection Operators and SU(N)×SU(N) Irreducible Schwinger Bosons

Cited by in corpus (2)

  • Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: I. Hilbert space of a trivalent vertex
  • Time Evolution Operators for Periodic SU(3)
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