Revisiting the Vector and Axial-vector Vacuum Susceptibilities
arXiv:0810.2845 · doi:10.1016/j.physletb.2008.10.010
Abstract
We re-investigate the vector and axial-vector vacuum susceptibilities by taking advantage of the vector and axial-vector Ward-Takahashi identities. We show analytically that, in the chiral limit, the vector vacuum susceptibility is zero and the axial-vector vacuum susceptibility equals three fourths of the square of the pion decay constant. Besides, our analysis reproduces the Weinberg sum rule.
5 pages, no figures, revtex4
References in corpus (9)
- Pion mass and decay constant
- Snapshots of Hadrons, or the Story of How the Vacuum Medium Determines the Properties of the Classical Mesons Which Are Produced, Live and Die in the QCD Vacuum
- The Weak Parity-Violating Pion-Nucleon Coupling (Revised)
- QCD Sum Rule Calculation for the Tensor Charge of the Nucleon
- The Calculation of Vacuum Properties from the Global Color Symmetry Model
- QCD vacuum tensor susceptibility and properties of transversely polarized mesons
- A Note on the QCD Vacuum Tensor Susceptibility
- Tensor susceptibilities of the vacuum from constituent quarks
- Vector, Axial, Tensor and Pseudoscalar Vacuum Susceptibilities
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- Chiral susceptibility and the scalar Ward identity
- Structure of the nucleon's low-lying excitations
- Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
- Parity partners in the baryon resonance spectrum
- Dynamical chiral symmetry breaking in the NJL model with a constant external magnetic field
- Vacuum pseudoscalar susceptibility
- Influence of gauge boson mass on the staggered spin susceptibility
- Susceptibilities and critical exponents within the Nambu--Jona-Lasinio model
- Calculation of tensor susceptibility beyond rainbow-ladder approximation of Dyson-Schwinger equations approach