Light front distribution of the chiral condensate
arXiv:1308.4708 · doi:10.1016/j.physletb.2013.09.040
Abstract
The pseudoscalar projection of the pion's Poincare'-covariant Bethe-Salpeter amplitude onto the light-front may be understood to provide the probability distribution of the chiral condensate within the pion. Unlike the parton distribution amplitudes usually considered and as befitting a collective effect, this condensate distribution receives contributions from all Fock space components of the pion's light-front wave-function. We compute this condensate distribution using the Dyson-Schwinger equation (DSE) framework and show the result to be a model-independent feature of quantum chromodynamics (QCD). Our analysis establishes that this condensate is concentrated in the neighbourhood of the boundaries of the distribution's domain of support. It thereby confirms the dominant role played by many-particle Fock states within the pion's light-front wave function in generating the chiral condensate on the light-front and verifies that light-front longitudinal zero modes do not play a material role in that process.
5 pages, 1 figure. To appear in Phys. Lett. B
References in corpus (7)
- Sketching the Bethe-Salpeter kernel
- Hadron Properties and Dyson-Schwinger Equations
- Propagators and phase structure of Nf=2 and Nf=2+1 QCD
- Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
- Pion distribution amplitude from lattice-QCD
- Pion in the Holographic Model with 5D Yang-Mills Fields
- Conformal Symmetry and Pion Form Factor: Space- and Time-like Region
Cited by in corpus (26)
- Explanation and Prediction of Observables using Continuum Strong QCD
- Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
- Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
- Basic features of the pion valence-quark distribution function
- Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
- Parton distribution amplitudes of light vector mesons
- Impressions of the Continuum Bound State Problem in QCD
- Three Lectures on Hadron Physics
- Nucleon tensor charges and electric dipole moments
- Structure of the nucleon's low-lying excitations
- Flavour symmetry breaking in the kaon parton distribution amplitude
- Distribution amplitudes of light-quark mesons from lattice QCD
- Strong QCD Insights from Excited Nucleon Structure Studies with CLAS and CLAS12
- Distribution amplitudes of radially-excited pi- and K-mesons
- Nucleon axial-vector and pseudoscalar form factors, and PCAC relations
- Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
- Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
- Zero mode in a strongly coupled quark gluon plasma
- Leading-twist distribution amplitudes of scalar- and vector-mesons
- Pseudoscalar meson decay constants and distribution amplitudes up to twist-4 in the light-front quark model
- Light-Front Holographic QCD and the Confinement Potential
- Light-Front Holographic QCD and Color Confinement
- Twist-3 Distribution Amplitudes of Pion in the Light-Front Quark Model
- Light-Front Quark Model Phenomenology Consistent with Chiral Symmetry
- Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
- Light-Front Holographic Quantum Chromodynamics