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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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Bethe-Salpeter approach for meson meson scattering in chiral perturbation theory

TL;DR: In this article, the Bethe-Salpeter equation is used to restore elastic unitarity in the s-channel by summing up an infinite set of chiral loops, and a chiral expansion can be undertaken by successive approximations to the potential which should be iterated.
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Heavy Hadrons in Nuclear Matter

TL;DR: In this paper, a summary of the basic theoretical concepts of QCD, namely chiral symmetry, heavy quark spin symmetry, and the effective Lagrangian approach, are reviewed with a summary on heavy hadrons in nuclear medium.
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Sterile neutrinos and neutrinoless double beta decay in effective field theory

TL;DR: In this article, neutrinoless double beta decay (0νββ) was investigated in the presence of sterile neutrinos with Majorana mass terms, where the neutrino operators were allowed to interact with standard-model (SM) fields via renormalizable Yukawa couplings as well as higher-dimensional gauge-invariant operators up to dimension seven in the Standard Model Effective Field Theory extended with sterile neutrininos.
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Shear viscosity of a hadron gas and influence of resonance lifetimes on relaxation time

TL;DR: In this paper, a discrepancy between different computations of the shear viscosity over entropy density of hadronic matter is found between transport approaches mainly based on resonance propagation with finite lifetime and other (semianalytical) approaches with energy-dependent cross sections, where interactions do not introduce a timescale.
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Electrical conductivity of a pion gas

TL;DR: In this article, the electrical conductivity of a pion gas at low temperatures is studied in the framework of linear response and chiral perturbation theory, and the standard ChPT power counting has to be modified to include pion propagator lines with a nonzero thermal width in order to properly account for collision effects typical of kinetic theory.
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.