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The journal of high energy physics 6 (2009) 61
The mass of the Δ resonance in a finite volume: fourth-order calculation
V. Bernard1, D. Hoja, U.-G. Meißner, A. Rusetsky

We calculate the self-energy of the Δ(1232) resonance in a finite volume, using chiral effective field theory with explicit spin-3/2 fields. The calculations are performed up-to-and-including fourth order in the small scale expansion and yield an explicit para\-meterization of the energy spectrum of the interacting pion-nucleon pair in a finite box in terms of both the quark mass and the box size L. It is shown that finite-volume corrections can be sizeable at small quark masses.
1 :  IPNO - Institut de Physique Nucléaire d'Orsay
Physique/Physique des Hautes Energies - Réseau

Physique/Physique des Hautes Energies - Phénoménologie
Lattice Quantum Field Theory – Lattice QCD – Chiral Lagrangians