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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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A model for the γp→ π+π−p reaction

TL;DR: In this article, the γp→ π+π−p reaction was studied using a model which includes N, Δ (1232), N∗(1440), and N ∗(1520) intermediate baryonic states and ρ-meson as intermediate 2π-resonance.
Journal ArticleDOI

Extraction of isoscalar $\pi\pi$ phase-shifts from lattice QCD

TL;DR: In this paper, a two-flavour (Nf=2) lattice QCD calculation of the elastic phase shifts for pion-pion scattering in the scalar, isoscalar channel (the σ-meson) was performed for two quark masses corresponding to pion masses of 315 and 227 MeV.
Journal ArticleDOI

Thermodynamics of chiral symmetry at low densities

TL;DR: In this article, the phase diagram of two-color QCD as a function of temperature and baryon chemical potential is considered and the associated phase transition is shown to be of second order for low temperatures and first order at higher temperatures.
Journal ArticleDOI

Quark disconnected diagrams in chiral perturbation theory

TL;DR: In this paper, it was shown how quark-disconnected and quarkconnected contributions to hadronic n-point functions can be written as independent correlators for which one can derive expressions in partially quenched chiral effective theory.
Journal ArticleDOI

The theory of parity violation in few-nucleon systems

TL;DR: In this paper, a review of recent progress in the theoretical description of hadronic parity violation in few-nucleon systems is presented, and the available calculations for reactions with up to five nucleons are discussed.
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.