Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-11-22
Phys.Lett. B636 (2006) 31-39
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 3 figs, 2 tables
Scientific paper
10.1016/j.physletb.2006.03.023
We study the chiral behavior of the nucleon and $\Delta$-isobar masses within a manifestly covariant chiral effective-field theory, consistent with the analyticity principle. We compute the $\pi N$ and $\pi\Delta$ one-loop contributions to the mass and field-renormalization constant, and find that they can be described in terms of universal relativistic loop functions, multiplied by appropriate spin, isospin and coupling constants. We show that these relativistic one-loop corrections, when properly renormalized, obey the chiral power-counting and vanish in the chiral limit. The results including only the $\pi N$-loop corrections compare favorably with the lattice QCD data for the pion-mass dependence of the nucleon and $\Delta$ masses, while inclusion of the $\pi \Delta$ loops tends to spoil this agreement.
Pascalutsa Vladimir
Vanderhaeghen Marc
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