Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-03-20
Phys.Rev. D65 (2002) 114023
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 5 figures, one paragraph added to introduction, to appear in Phys Rev D
Scientific paper
10.1103/PhysRevD.65.114023
An SU(3) chiral Lagrangian for the lightest decuplet of baryons is constructed on a discrete lattice of spacetime points, and is added to an existing lattice Lagrangian for the lightest octets of mesons and baryons. A nonzero lattice spacing renders all loop integrations finite, and the continuum limit of any physical observable is identical to the result obtained from dimensional regularization. Chiral symmetry and gauge invariance are preserved even at nonzero lattice spacing. Specific calculations discussed here include the non-renormalization of a conserved vector current, the magnetic moments of octet baryons, and the pi N and KN sigma terms that relate to the nucleon's strangeness content. The quantitative difference between physics at a nonzero lattice spacing and physics in the continuum limit is easily computed, and it represents an expectation for the size of discretization errors in corresponding lattice QCD simulations.
Borasoy Bugra
Lewis Randy
Ouimet Pierre-Philippe A.
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