Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-08-14
Phys.Lett.A372:6717-6720,2008
Physics
High Energy Physics
High Energy Physics - Lattice
8 pages, no figures, extended version, five references added
Scientific paper
10.1016/j.physleta.2008.09.036
We study in this paper the finite-size effects of a non-periodic lattice on a lattice calculation. To this end we use a finite lattice equipped with a central difference derivative with homogeneous boundary conditions to calculate the bosonic mass associated to the Schwinger model. We found that the homogeneous boundary conditions produce absence of fermion doubling and chiral invariance, but we also found that in the continuum limit this lattice model does not yield the correct value of the boson mass as other models do. We discuss the reasons for this and, as a result, the matrix which cause the fermion doubling problem is identified.
Campos Rafael G.
Tututi Eduardo S.
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