Wilson Fermions on a Transverse Lattice

Abstract

In the light-front formulation of field theory, it is possible to write down a chirally invariant mass term. It thus appears as if one could solve the species doubling problem on a light-front quantized transverse lattice in a chirally invariant way. However, upon introducing link fields and after renormalizing, one finds exactly the same LF Hamiltonian as if one had started from the standard Wilson action in the first place. The (light-front) chirally invariant transverse lattice regularization is thus not chirally invariant in the conventional sense. As an application of the Wilson formulation for fermions on a $\perp$ lattice, we calculate spectrum, distribution functions and distribution amplitudes for mesons below $2GeV$ in a truncated Fock space.

14 pages, RevTeX

References in corpus (5)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Dynamical vertex mass generation and chiral symmetry breaking on the light-front
• Transverse Lattice Approach to Light-Front Hamiltonian QCD
• Colour-Dielectric Gauge Theory on a Transverse Lattice
• Mesons a in Collinear QCD Model

Cited by in corpus (17)

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• Pion light cone wave function in the non-local NJL model
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• Transverse Spin in QCD: Radiative Corrections
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• A Study of Light Mesons on the Transverse Lattice
• Impact parameter dependent quark distribution of the pion
• N=1 super Yang-Mills on a (3+1) dimensional transverse lattice with one exact supersymmetry
• Glueballs on a transverse lattice
• A study of $q\bar{q}$ states in transverse lattice QCD using alternative fermion formulations
• A Study of Heavy-Light Mesons on the Transverse Lattice
• Fermions on the light front transverse lattice
• A solution to the fermion doubling problem for supersymmetric theories on the transverse lattice
• Spontaneously broken quark helicity symmetry
• B-Mesons on the Transverse Lattice