The Delta-resonance in a finite volume

Details The Delta-resonance in a finite volume The Delta-resonance in a finite volume

2007-02-07

arxiv.org/abs/hep-lat/0702012v1

Nucl.Phys.B788:1-20,2008

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, 8 postscript figures

Scientific paper

10.1016/j.nuclphysb.2007.07.030

We study the extraction of Delta-resonance parameters from lattice data for small quark masses, corresponding to the case of an unstable Delta. To this end, we calculate the spectrum of the correlator of two Delta-fields in a finite Euclidian box up-to-and-including O(epsilon^3) in the small scale expansion using infrared regularization. On the basis of our numerical study, we argue that the extraction of the parameters of the Delta-resonance (in particular, of the mass and the pion-nucleon-delta coupling constant) from the measured volume dependence of the lowest energy levels should be feasible.

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