Journal ArticleDOI
Precise Relations between the Spectra of Vector and Axial-Vector Mesons
TLDR
In this paper, the moments of the spectral functions of the vector and axial vector currents were derived, and two sum rules were derived for relating moments of spectral functions, and it was shown that if it is assumed that the $\ensuremath{\rho}$ and $A1$ mesons dominate these moments, then their masses must be in the ratioAbstract:
Two sum rules are derived, relating moments of the spectral functions of the vector and axial-vector currents. If it is assumed that the $\ensuremath{\rho}$ and $A1$ mesons dominate these moments, then their masses must be in the ratio $\frac{{m}_{A1}}{{m}_{\ensuremath{\rho}}}=\sqrt{2}$, in very good agreement with experiment.read more
Citations
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Chiral perturbation theory to one loop
J. Gasser,Heinrich Leutwyler +1 more
TL;DR: In this article, the low energy representation of several Green's functions and form factors and of the na scattering amplitude are calculated in terms of a few constants, which may be identified with the coupling constants of a unique effective low energy Lagrangian.
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Estimation of oblique electroweak corrections
Michael E. Peskin,Tatsu Takeuchi +1 more
TL;DR: The experimental limits placed on the oblique correction parameters S and T are reviewed and the value of S can be estimated for running and walking technicolor theories are discussed.
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QCD and Resonance Physics: Applications
TL;DR: In this article, the dispersion charmonium theory was extended to include power terms due to the nonperturbative effects of QCD, and an estimate for the gluonic vacuum expectation value was derived.
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Non-Lagrangian Models of Current Algebra
TL;DR: In this article, an alternative to specific Lagrangian models of current algebra is proposed, in which scale invariance is a broken symmetry of strong interactions, as proposed by Kastrup and Mack.
Journal ArticleDOI
Unified Interactions of Leptons and Hadrons
Harald Fritzsch,Peter Minkowski +1 more
TL;DR: In this paper, it is suggested that a unified description of leptons and hadrons can be obtained within a nonabelian gauge theory where the gauge group is a symmetry group of a set of massless elementary fermions (leptons, quarks).
References
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Journal ArticleDOI
Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II
Yoichiro Nambu,G. Jona-Lasinio +1 more
TL;DR: In this paper, a superconductive solution describing the proton-neutron doublet is obtained from a nonlinear spinor field Lagrangian, and the pions of finite mass are found as nucleon-antinucleon bound states by introducing a small bare mass into the Lagrangians which otherwise possesses a certain type of the ∆-ensuremath{gamma{5}$ invariance.
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Theory of strong interactions
TL;DR: In this article, a new theory of strong interactions is proposed based on the notion of parity conservation in strong couplings, which is similar to the one proposed in this paper, but with three different types of couplings: hypercharge coupling, isospin coupling, and isobarsin coupling.
Journal ArticleDOI
The symmetry group of vector and axial vector currents
TL;DR: A theory proposed earlier of a higher broken symmetry than the eightfold way is applied, and rules of this kind are found to hold in certain Lagrangian field theory models and may be true in reality.
Journal ArticleDOI
Partially conserved axial vector current and the decays of vector mesons
Ken Kawarabayashi,Mahiko Suzuki +1 more
TL;DR: The notion of partially conserved axial-vector current (1) (PCAC) and the current commutation relations that generate the algebra U(2)xU (2) have been successfully applied to the calculation of the axial vector constant renormalization and to the non-leptonic decays of hyperons and K mesons.
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Field theory commutators
TL;DR: In this article, it was shown that the electric charge density of a Dirac field commutes with the current density at equal times, since the current vector is a gauge-invariant bilinear combination of the Dirac fields.
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