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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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Axial correlation functions in the epsilon-regime: a numerical study with overlap fermions

TL;DR: In this article, the authors present simulation results employing overlap fermions for the axial correlation functions in the -regime of chiral perturbation theory, and show that lattices with a linear extent L > 1.1 fm are necessary to interpret the numerical data obtained in distinct topological sectors in terms of the -expansion.
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Chiral perturbation theory: Introduction and recent results in the one-nucleon sector

TL;DR: In this article, the basic concepts of chiral perturbation theory are introduced and some recent developments in the manifestly Lorentz-invariant formulation of the one-nucleon sector are discussed.
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One-loop analysis of the interactions between charmed mesons and Goldstone bosons

TL;DR: In this article, the authors derived the scattering amplitude for Goldstone bosons of chiral symmetry off the pseudoscalar charmed mesons up to leading one-loop order in a covariant chiral effective field theory, using the so-called extendedon-mass-shell renormalization scheme.
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The Problem of Renormalization of Chiral Nuclear Forces

TL;DR: In this article, the authors describe how lessons from Pionless EFT are being applied to the construction of a properly renormalized Chiral EFT, where renormalization is achieved order by order in a systematic expansion of low-energy nuclear observables.
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Hadron Polarizabilities

TL;DR: In this article, experimental and theoretical work addressing the polarizabilities of the light hadrons is examined, and the response of a system to the application of an external quasi-static electric or magnetic field is investigated.
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.