Wilson Fermions on a Transverse Lattice

Details Wilson Fermions on a Transverse Lattice Wilson Fermions on a Transverse Lattice

1998-05-28

arxiv.org/abs/hep-ph/9805495v1

Phys.Rev. D60 (1999) 054504

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, RevTeX

Scientific paper

10.1103/PhysRevD.60.054504

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 $2 GeV$ in a truncated Fock space.

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