QCD as a quantum link model
Journal Article
QCD is constructed as a lattice gauge theory in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. The resulting quantum link model for QCD is formulated with a fifth Euclidean dimension, whose extent resembles the inverse gauge coupling of the resulting four-dimensional theory after dimensional reduction. The inclusion of quarks is natural in Shamir’s variant of Kaplan’s fermion method, which does not require fine-tuning to approach the chiral limit. A rishon representation in terms of fermionic constituents of the gluons is derived and the quantum link Hamiltonian for QCD with a (Formula presented) gauge symmetry is expressed in terms of glueball, meson and constituent quark operators. The new formulation of QCD is promising both from an analytic and from a computational point of view. © 1999 The American Physical Society.
Full Text
Duke Authors
Cited Authors
- Brower, R
Published Date
- January 1, 1999
Published In
Volume / Issue
- 60 / 9
Electronic International Standard Serial Number (EISSN)
- 1550-2368
International Standard Serial Number (ISSN)
- 1550-7998
Digital Object Identifier (DOI)
- 10.1103/PhysRevD.60.094502
Citation Source
- Scopus