Note on finite temperature sum rules for vector and axial-vector spectral functions

Abstract

An updated analysis of vector and axial-vector spectral functions is presented. The resonant contributions to the spectral integrals are shown to be expressible as multiples of 4 pi^2 f_pi^2, encoding the scale of spontaneous chiral symmetry breaking in QCD. Up to order T^2 this behavior carries over to the case of finite temperature.

10 pages, 2 figures

References in corpus (5)

• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Temperature dependence of rho- and a_1-meson masses and mixing of vector and axial-vector correlators
• Towards OPE based local quark-hadron duality: Light-quark channels
• Modifying operator product expansions by non-perturbative non-locality
• Non-perturbative non-locality: $V\pm A$ correlators in euclidean position space

Cited by in corpus (12)

• Is Rho-Meson Melting Compatible with Chiral Restoration?
• Quantitative sum rule analysis of low-temperature spectral functions
• Vector-axialvector mixing from a chiral effective field theory at finite temperature
• Rho meson properties from combining QCD-based models
• Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles
• Update on Chiral Symmetry Restoration in the Context of Dilepton Data
• Novel spectral broadening from vector--axial-vector mixing in dense matter
• A novel spectral broadening from vector--axial-vector mixing in dense matter
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
• $U_A(1)$ symmetry breaking quark interactions from vacuum polarization
• Role of axial-vector mesons near the chiral phase transition
• Meson-Nucleon Vertex Form Factors at Finite Temperature Using a Soft Pion Form Factor