New spectral representation and evaluation of fπ and the quark condensate ⟨ qq ⟩ in the terms of string tension

2003/05/31 by Yu. A. Simonov · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1134/1.1755394

published as Phys.Atom.Nucl. 67 (2004) 1027-1034; Yad.Fiz. 67 (2004) 1050-1058 · 17 pages; v2: minor corrections

arxiv created 2003/07/03 · openalex publication_date 2004/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

New spectral representations for f π and chiral condensate are derived in QCD and used for calculations in the large-N c limit. Both quantities are expressed in this limit through string tension σ and gluon correlation length T g without fitting parameters. As a result, one obtains ⟨ qq ⟩ = - N_c σ ² T_g a₁ , f_π = √ N_c σ T_g a₂ , with a 1=0.0823, a 2=0.30. Taking σ=0.18 GeV2 and T g=1 GeV−1, as known from analytic and lattice calculations, this yields ⟨ qq ⟩ (μ=2 GeV)=−(0.225 GeV)3, f π=0.094 GeV, which is close to the standard values.

Citations

• Effects of negative energy components in the constituent quark model
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• A Relativistic Equation for Bound-State Problems

Cited by

• Vacuum phase transition at nonzero baryon density
• Magnetic focusing in atomic, nuclear, and hadronic processes
• Nonperturbative approach to the parton model