{"arxiv_id":"hep-lat/0312030","title":"The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory","abstract":"In the framework of relativistic SU(2)_f baryon chiral perturbation theory we calculate the volume dependence of the nucleon mass up to and including O(p^4). Since the parameters in the resulting finite size formulae are fixed from the pion mass dependence of the large volume nucleon masses and from phenomenology, we obtain a parameter-free prediction of the finite size effects. We present mass data from the recent N_f=2 simulations of the UKQCD and QCDSF collaborations and compare these data as well as published mass values from the dynamical simulations of the CP-PACS and JLQCD collaborations with the theoretical expectations. Remarkable agreement between the lattice data and the predictions of chiral perturbation theory in a finite volume is found.","primary_cat":"hep-lat","cross_cats":["hep-ph"],"submitted_at":"2003-12-18T14:55:50+00:00","latest_version":3,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":"CONDITIONAL","confidence":"HIGH","one_line_summary":"A next-to-next-to-leading-order chiral perturbation theory formula predicts the volume dependence of the nucleon mass with no new free parameters, and it matches Nf=2 lattice QCD data at three box sizes.","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","upvotes":0,"downvotes":0,"pith_score":0.0,"inbound_count":20,"_links":{"html":"https://pith.science/paper/hep-lat/0312030","verdict":"/api/v1/verdicts/hep-lat/0312030"}}