# Chiral Partners in a Chirally Broken World

@article{Leupold2008ChiralPI,
title={Chiral Partners in a Chirally Broken World},
author={Stefan Leupold and Marc Wagner},
journal={arXiv: Nuclear Theory},
year={2008}
}
• Published 15 July 2008
• Physics
• arXiv: Nuclear Theory
The isovector--vector and the isovector--axial-vector current are related by a chiral transformation. These currents can be called chiral partners at the fundamental level. In a world where chiral symmetry was not broken, the corresponding current-current correlators would show the same spectral information. In the real world chiral symmetry is spontaneously broken. A prominent peak -- the rho-meson -- shows up in the vector spectrum (measured in (e^+ e^-)-collisions and tau-decays). On the…
4 Citations

## Figures from this paper

Phenomenology of axial-vector and pseudovector mesons: decays and mixing in the kaonic sector
• Physics
• 2013
We study the decays of the lightest axial-vector and pseudovector mesons, interpreted as quark-antiquark states, into a vector and a pseudoscalar meson. We show that the quarkonium assignment
How the axial anomaly controls flavor mixing among mesons
• Physics
• 2018
It is well known that because of the axial anomaly in QCD, mesons with $J^P = 0^-$ are close to $SU(3)_{\mathrm{V}}$ eigenstates: the $eta^\prime(958)$ meson is largely a singlet, and the $\eta$
Different nature of ρ and a 1
Within the very same framework using lowest-order chiral interactions and optionally s-channel resonances it is shown that the ρ meson can be understood as a preformed (quark-antiquark) state — with
f2(1270), a1(1260) and f0(1370) as dynamically reconstructed quark-antiquark states
It is explained why the interpretation of the resonances f2(1270), a1(1260) and f0(1370) as quark-antiquark states is legitimate. The result of the quark model and of recently performed

## References

SHOWING 1-10 OF 23 REFERENCES
On meson resonances and chiral symmetry
• Physics
• 2004
Abstract We study meson resonances with quantum numbers J P =1 + in terms of the chiral SU(3) Lagrangian. At leading order a parameter-free prediction is obtained for the scattering of Goldstone
Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark
• Physics
• 1985
Abstract In a previous paper, we have shown how to systematically determine the low-energy structure of the Green functions in QCD. The present article extends this framework to expansions in the
Hadronic spectral functions in nuclear matter
• Physics
• 2004
Abstract We study the in-medium properties of mesons ( π , η , ρ ) and baryon resonances in cold nuclear matter within a coupled-channel analysis. The meson self energies are generated by
N/D description of two meson amplitudes and chiral symmetry
• Physics
• 1999
The most general structure of an elastic partial wave amplitude when the unphysical cuts are neglected is deduced in terms of the N/D method. This result is then matched to lowest order,
Origin of resonances in the chiral unitary approach
We study the origin of the resonances associated with pole singularities of the scattering amplitude in the chiral unitary approach. We propose a 'natural renormalization' scheme using the low-energy
Low lying axial-vector mesons as dynamically generated resonances
• Physics
• 2005
We make a theoretical study of the $s$-wave interaction of the nonet of vector mesons with the octet of pseudoscalar mesons starting from a chiral invariant Lagrangian and implementing unitarity in
Aspects of chiral symmetry
This article is an attempt to a pedagogical introduction and review into the elementary concepts of chiral symmetry in nuclear physics. Effective chiral models such as the linear and nonlinear sigma
Branching ratios and spectral functions of tau decays: Final ALEPH measurements and physics implications
The full LEP-1 data set collected with the ALEPH detector at the Z pole during 1991-1995 is analysed in order to measure the tau decay branching fractions. The analysis follows the global method used
An Introduction To Quantum Field Theory
• Physics
• 1995
Feynman Diagrams and Quantum Electrodynamics * Invitation: Pair Production in e+e- Annihilation * The Klein-Gordon Field * The Dirac Field * Interacting Fields and Feynman Diagrams * Elementary
An Introduction To Quantum Field Theory
Part I. Scalar Fields: 1. Classical fields and symmetries 2. Canonical quantization 3. Path integrals, perturbation theory and Feynman rules 4. Scattering and cross sections for scalar fields Part