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Chiral perturbation theory to one loop

J. Gasser, +1 more
- 01 Nov 1984 - 
- Vol. 158, Iss: 1, pp 142-210
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TLDR
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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This article is published in Annals of Physics.The article was published on 1984-11-01 and is currently open access. It has received 3277 citations till now. The article focuses on the topics: Pion decay constant & Chiral perturbation theory.

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Citations
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Axial Resonances in the Open and Hidden Charm Sectors

TL;DR: In this paper, a SU(4) flavor symmetrical Lagrangian is constructed for the interaction of the pseudo-scalar mesons with the vector mesons, where the interaction should be driven by charmed mesons.
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Twelve massless flavors and three colors below the conformal window

TL;DR: In this paper, the authors report new results for a frequently discussed gauge theory with twelve fermion flavors in the fundamental representation of the SU(3) color gauge group, subject the model to opposite hypotheses inside and outside of the conformal window.
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Isospin violation and the magnetic moment of the muon

TL;DR: In this paper, the leading isospin-violating and electromagnetic corrections for the decay τ − → π 0 π − ν τ at low energies were calculated.
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Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD

TL;DR: The results of a lattice QCD calculation of the pseudoscalar meson decay constants fpi, fK, fD and fDs, performed with Nf=2 dynamical fermions, are given in this paper.
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Basic features of the pion valence-quark distribution function

TL;DR: In this article, a leading-order expression for the pion's valence-quark distribution function is used to define the valence quarks' distribution function, which is flawed because it omits contributions from the gluons which bind quarks into the pions, and a corrected leading order expression produces the model-independent result that quarks dressed via the rainbow-ladder truncation, or any practical analogue, carry all the light front momentum at a characteristic hadronic scale.
References
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Journal ArticleDOI

On gauge invariance and vacuum polarization

TL;DR: In this paper, it was shown that the extraction of gauge invariants from a formally gauge invariant theory is ensured if one employs methods of solution that involve only gauge covariant quantities.
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Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

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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QCD and resonance physics. theoretical foundations

TL;DR: In this paper, a systematic study is made of the non-perturbative effects in quantum chromodynamics, where the basic object is the two-point functions of various currents and the terms of this series are shown to be of two distinct types.
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Axial vector vertex in spinor electrodynamics

TL;DR: In this article, the axial-vector vertex in spinor electrodynamics has anomalous properties which differ with those found by the formal manipulation of field equations, and the divergence of axial vector current is not the usual expression calculated from the field equations.
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Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark

TL;DR: In this paper, the authors construct the generating functional of U(3)×U(3), which allows them to calculate the Green functions up to and including terms of order p4 (at fixed radio m quark p 2 ) in terms of a few coupling constants which chiral symmetry leaves undetermined.