Finite size mass shift formula for stable particles revisited

Abstract

Luescher's finite size mass shift formula in a periodic finite volume, involving forward scattering amplitudes in the infinite volume, is revisited for the two stable distinguishable particle system. The generalized mass shift formulae for the boson and fermion are derived in the boson-boson and fermion-boson systems, respectively. The nucleon mass shift is discussed in the nucleon-pion system.

Talk presented at Lattice2004(spectrum), Fermilab, June 21-26, 2004, 3 pages, 1 eps figure

References in corpus (5)

• The pion mass in finite volume
• The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• In Search of the Chiral Regime
• Volume dependence of light hadron masses in full lattice QCD

Cited by in corpus (5)

• Quantum Wrapped Giant Magnon
• Finite-Size Effects for Multi-Magnon States
• Finite volume effects in chiral perturbation theory
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions