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Title: Connecting the hadron mass scale to the fundamental mass scale of quantum chromodynamics

We establish an explicit connection between the long distance physics of confinement and the dynamical interactions of quarks and gluons at short distances and it has been a long-sought goal of quantum chromodynamics. Using holographic QCD, we derive a direct analytic relation between the scale κ which determines the masses of hadrons and the scale Λs which controls the predictions of perturbative QCD at very short distances. The resulting prediction Λs=0.341±0.032 GeV in the MS-scheme agrees well with the experimental average 0.339±0.016 GeV. We also derive a relation between Λs and the QCD string tension σ. Furthermore, this connection between the fundamental hadronic scale underlying the physics of quark confinement and the perturbative QCD scale controlling hard collisions can be carried out in any renormalization scheme.
Authors:
 [1] ;  [2] ;  [3]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. Univ. de Costa Rica, San Jose (Costa Rica)
Publication Date:
OSTI Identifier:
1222502
Report Number(s):
SLAC-PUB-16078; JLAB-PHY-15-2052; DOE/OR/23177-3388; arXiv:1409.5488
Journal ID: ISSN 0370-2693; arXiv:1409.5488; TRN: US1600975
Grant/Contract Number:
AC02-76SF00515; AC05-06OR23177; SLAC-PUB-16078
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 750; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice; phenomenology-HEP; theory-HEP; HEPPH; HEPTH