On the finite size mass shift formula for stable particles

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 formula is given in the nucleon-pion system and the relation to the computation within chiral perturbation theory is discussed.

25 pages, 10 figures, derivation of formulae reconsidered, results unchanged, version to appear in Nucl. Phys. B

References in corpus (6)

• The pion mass in finite volume
• The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory
• Nucleon Masses and Magnetic Moments in a Finite Volume
• 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

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• Finite volume effects for nucleon and heavy meson masses
• Large volumes and spectroscopy of walking theories
• Size measurement of dynamically generated resonances with finite boxes
• Finite volume effects for the pion mass at two loops
• Finite-Size Effects for Multi-Magnon States
• The pion and proton mass in finite volume
• Casimir effect for nucleon parity doublets
• Lattice Study on quantum-mechanical dynamics of two-color QCD with six light flavors
• Finite volume effects in chiral perturbation theory
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Bound states on the lattice with partially twisted boundary conditions
• Compositeness of hadron resonances in finite volume
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions