2004/07/31 by Paulo F. Bedaque, Harald W. Grießhammer, Harald W. Griesshammer +1 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.71.054015
published as Phys.Rev. D71 (2005) 054015 · 7 figures, numerical examples and discussion changed. Minor misprints corrected. Version accepted by Phys Rev D
arxiv created 2005/03/11 · openalex publication_date 2005/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We use Chiral Perturbation Theory to compute the nucleon mass-shift due to finite volume and temperature effects. Our results are valid up to next-to-leading-order in the ``ϵ-r'egime'' (mL\ensuremath∼m\ensuremathβ\ensuremath≪1) as well as in the ``p-r'egime'' (mL\ensuremath∼m\ensuremathβ\ensuremath≫1). Based on the two leading orders, we discuss the convergence of the expansion as a function of the lattice size and quark masses. This result can be used to extrapolate lattice results obtained from lattice sizes smaller than the pion cloud, avoiding the numerical simulation of physics under theoretical control. An extraction of the low-energy coefficient c3 of the chiral Lagrangean from lattice simulations at small volumes and a ``magic'' ratio \ensuremathβ=1.22262L might be possible.