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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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Scalar gravitational waves in the effective theory of gravity

TL;DR: In this article, the amplitude of the scalar wave modes, as well as their energy and energy flux which are positive and contain a monopole moment, are computed, with the excited gluonic condensates in the interiors of neutron stars in merger events with other compact objects likely to provide the strongest burst signals.
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τ − →K − η ( ′ ) ν τ decays in Chiral Perturbation Theory with resonances

TL;DR: In this paper, the authors considered three different form factors according to treatment of final-state interactions: Breit-Wigner, exponential resummation and dispersive representation, and found that although the first one fails in accounting for the data on the Kη mode, the other two approaches provide good fits to them which are sensitive to the Kφ (1410) pole parameters, that are determined to be $ {M{{K}}^{{\star \prime }}}}}}=\left( {1330_{-41}^{+27 }}
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Goldstone and Pseudo-Goldstone Bosons in Nuclear, Particle and Condensed-Matter Physics

TL;DR: In this article, the effective lagrangian treatment of Goldstone and pseudo-Goldstone bosons is reviewed, taking examples from high-energy/nuclear and condensed-matter physics.
Posted Content

S-matrix Bootstrap for Effective Field Theories: Massless Pions

TL;DR: In this article, the S-matrix bootstrap method was used to obtain bounds on the two leading Wilson coefficients of the chiral lagrangian controlling the low-energy dynamics of massless pions.
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On the low-energy theorems for threshold pion electroproduction

TL;DR: In this article, the authors considered pion electroproduction at threshold to one loop order in chiral perturbation theory and derived novel contributions to the low-energy theorems for the S-wave multipoles E 0+ and L 0+ at the threshold to order O ( μ 2, v ) with μ = M π / m the ratio of the pion and nucleon mass and v = k 2 / m 2 related to the four-momentum of the virtual photon.
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.