2005/12/02 by Gilberto Colangelo, Andreas Fuhrer, Christoph Haefeli · 3 citations
Mathematics · Physics and Astronomy · #Chiral perturbation theory #Finite volume method #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematics #Nuclear physics #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #hep-lat
paper · pdf · doi:10.1016/j.nuclphysbps.2006.01.004
published as Nucl.Phys.Proc.Suppl. 153 (2006) 41-48 · 10 pages, 3 figures, Talk given at the Workshop on Computational Hadron Physics, Cyprus, September 14-17, 2005
arxiv created 2005/12/02 · openalex publication_date 2006/02/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the finite volume effects for the pion and nucleon mass. For the pion mass we present the results of a full two-loop calculation in chiral perturbation theory. The outcome shows that the resummed version of the Luscher formula we presented in an earlier work does indeed give an excellent approximation to the two-loop result. In view of this result we apply the same resummed formula to the nucleon mass. In the nucleon sector the extension of the chiral expansion to higher quark masses appears to be more problematic and it is therefore more difficult to make reliable predictions for the size of the finite volume effects. We present some preliminary numerical estimates.