Sum rule analysis of vector and axial-vector spectral functions with excited states in vacuum

Abstract

We simultaneously analyze vector and axial-vector spectral functions in vacuum using hadronic models constrained by experimental data and the requirement that Weinberg-type sum rules are satisfied. Upon explicit inclusion of an excited vector state, viz. rho', and the requirement that the perturbative continua are degenerate in vector and axial-vector channels, we deduce the existence of an excited axial-vector resonance state, a1', in order that the Weinberg sum rules are satisfied. The resulting spectral functions are further tested with QCD sum rules.

11 pages (corrected typos and made paper agree with published version)

References in corpus (8)

• The chiral and deconfinement aspects of the QCD transition
• Gluon Condensates and m_{c,b} from QCD-Moments and their ratios to Order alpha_s^3 and <G^4>
• Gluon Condensates and m_b(m_b) from QCD-Exponential Moments at Higher Orders
• Four-Quark Condensates in Nucleon QCD Sum Rules
• Chiral QCD sum rules for open charm mesons
• Information on the structure of the a1 from tau decay
• Vector and axialvector mesons at nonzero temperature within a gauged linear sigma model
• Tau decay and the structure of the a1

Cited by in corpus (15)

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• Quantitative sum rule analysis of low-temperature spectral functions
• Electromagnetic effects in the pion dispersion relation at finite temperature
• Massive Yang-Mills for Vector and Axial-Vector Spectral Functions at Finite Temperature
• Light Cone Distribution Amplitudes of Excited P-Wave Heavy Quarkonia at the Leading Twist
• Update on Chiral Symmetry Restoration in the Context of Dilepton Data
• Exact vector channel sum rules at finite temperature and their applications to lattice QCD data analysis
• Finite temperature sum rules in the vector channel at finite momentum
• Chiral-partner D mesons in a heat bath within QCD sum rules
• Realistic Implementation of Massive Yang Mills for rho and a1 Mesons
• Chiral symmetry aspects in the open charm sector
• Evaluating chiral symmetry restoration through the use of sum rules