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Abstract: Although taste violations significantly affect the results of staggeredcalculations of pseudoscalar and heavy-light mesonic quantities, those enteringstaggered calculations of baryonic quantities have not been quantified. Here Idevelop staggered chiral perturbation theory in the light-quark baryon sectorby mapping the Symanzik action into heavy baryon chiral perturbation theory.For 2+1 dynamical quark flavors, the masses of flavor-symmetric nucleons arecalculated to third order in partially quenched and fully dynamical staggeredchiral perturbation theory. To this order the expansion includes the leadingchiral logarithms, which come from loops with virtual decuplet-like states, aswell as terms the order of the cubed pion mass, which come from loops withvirtual octet-like states. Taste violations enter through the meson propagatorsin loops and tree-level terms the order of the squared lattice spacing. Thepattern of taste symmetry breaking and the resulting degeneracies and mixingsare discussed in detail. The resulting chiral forms are appropriate to latticeresults obtained with operators already in use and could be used to study therestoration of taste symmetry in the continuum limit. I assume that the fourthroot of the fermion determinant can be incorporated in staggered chiralperturbation theory using the replica method.



Autor: Jon A. Bailey

Fuente: https://arxiv.org/







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