Fermions on the light front transverse lattice

Abstract

We address the problems of fermions in light front QCD on a transverse lattice. We propose and numerically investigate different approaches of formulating fermions on the light front transverse lattice. In one approach we use forward and backward derivatives. There is no fermion doubling and the helicity flip term proportional to the fermion mass in the full light front QCD becomes an irrelevant term in the free field limit. In the second approach with symmetric derivative (which has been employed previously in the literature), doublers appear and their occurrence is due to the decoupling of even and odd lattice sites. We study their removal from the spectrum in two ways namely, light front staggered formulation and the Wilson fermion formulation. The numerical calculations in free field limit are carried out with both fixed and periodic boundary conditions on the transverse lattice and finite volume effects are studied. We find that an even-odd helicity flip symmetry on the light front transverse lattice is relevant for fermion doubling.

7 figures, revtex4

References in corpus (10)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Nonperturbative Light-Front QCD
• The Relativistic Bound State Problem in QCD: Transverse Lattice Methods
• A Weak-Coupling Treatment of Nonperturbative QCD Dynamics to Heavy Hadrons
• Mesons on a transverse lattice
• A Study of Light Mesons on the Transverse Lattice
• Wilson Fermions on a Transverse Lattice
• Staggered fermions and chiral symmetry breaking in transverse lattice regulated QED
• A Study of Heavy-Light Mesons on the Transverse Lattice
• Lattice Fermions and Chiral Symmetry

Cited by in corpus (8)

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• Nonperturbative Pauli-Villars regularization of vacuum polarization in light-front QED
• A first nonperturbative calculation in light-front QED for an arbitrary covariant gauge
• A study of $q\bar{q}$ states in transverse lattice QCD using alternative fermion formulations
• A solution to the fermion doubling problem for supersymmetric theories on the transverse lattice