Chiral perturbation theory to one loop
J. Gasser,Heinrich Leutwyler +1 more
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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.About:
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.read more
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Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature
TL;DR: In this article, the transition from the vacuum phase to a Bose-condensed phase is of second order, which is known for some time, but surprisingly quantum effects have not yet been incorporated into the equation of state.
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Integrating out strange quarks in ChPT: Terms at order p6
TL;DR: In this article, it was shown that the low energy constants of SU (2 ) R × SU ( 2 ) L depend on the value of the heavy quark masses and that the coupling constants l i which occur at order p 4 in the chiral expansion can be matched at two-loop accuracy.
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Soft Bootstrap and Effective Field Theories
Ian Low,Ian Low,Zhewei Yin +2 more
TL;DR: In this article, the soft bootstrap program was extended to ǫ(p4) operators and the seeds for soft bootstrapping were introduced, where the number of soft blocks coincides with the number number of independent operators at a given order in the derivative expansion.
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Unitarization Technics in Hadron Physics with Historical Remarks
TL;DR: In this article, a series of unitarization techniques have been used during the last decades, many of them in connection with the advent and development of current algebra and later of Chiral Perturbation Theory.
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Relativistic O ( q 4 ) two-pion exchange nucleon-nucleon potential: Configuration space
TL;DR: In this paper, a relativistic chiral expansion of the two-pion exchange potential was performed and the configuration space content of the potential was explored by three families of diagrams, two of which involve just ${g}_{A}$ and ${f}_{\ensuremath{\pi}}$, whereas the third one depends on empirical coefficients fixed by sub-threshold $\ENSuremath{pi}N$ data.
References
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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
Yoichiro Nambu,G. Jona-Lasinio +1 more
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
Jürg Gasser,Heinrich Leutwyler +1 more
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.