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The aim of this introductory lecture is to review the arguments, according to which the symmetry properties of the strong interaction reveal themselves at low energies. I first discuss the symmetries of QCD, then sketch the method used to…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Leutwyler

The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories have been developed to tackle the issue. Partial wave dynamics is the systematic tool to…

High Energy Physics - Phenomenology · Physics 2021-10-26 De-Liang Yao , Ling-Yun Dai , Han-Qing Zheng , Zhi-Yong Zhou

Goal of this work is the consistent description of elastic Compton scattering from the single nucleon and the deuteron. The theoretical framework chosen is Chiral Perturbation Theory, which is the low-energy formulation of Quantum…

Nuclear Theory · Physics 2007-05-23 Robert P. Hildebrandt

We want to test the predictive power of Chiral Perturbation Theory (ChPT). In this work, we use the ChPT pion-pion scattering amplitude, including two loop contributions, and we obtain S- and P-wave low-energy phase shifts. We show that, by…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Sa Borges , J. Soares Barbosa , M. D. Tonasse , J. Haidenbauer

We explore the low-energy regime of quantum chromodynamics subjected to an external magnetic field by deriving the two-loop representations for the entropy density and the magnetization within chiral perturbation theory (CHPT). At fixed…

High Energy Physics - Phenomenology · Physics 2021-08-04 Christoph P. Hofmann

The form factors of the light pseudoscalar mesons are investigated in a dispersive formalism based on hadronic unitarity, analyticity and the OPE expansion of the QCD Green functions. We propose generalizations of the original mathematical…

High Energy Physics - Phenomenology · Physics 2011-09-13 Irinel Caprini

I review recent developments in chiral perturbation theory (CHPT) which is the effective field theory of the standard model below the chiral symmetry breaking scale. The effective chiral Lagrangian formulated in terms of the pseudoscalar…

High Energy Physics - Phenomenology · Physics 2010-12-17 Ulf-G. Meißner

Several topics in hadron physics at different scales of resolution are discussed. First, deep-inelastic scattering from nucleons and nuclei is viewed in a light-cone coordinate space picture. Then the smooth transition from parton to hadron…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. Weise

Dispersive approach to quantum chromodynamics is applied to the assessment of hadronic contributions to electroweak observables. The employed approach merges the corresponding perturbative input with intrinsically nonperturbative…

High Energy Physics - Phenomenology · Physics 2016-04-18 A. V. Nesterenko

The structure of the hadron spectrum is discussed in connection with the main phenomena of nonperturbative QCD: confinement and chiral symmetry breaking (CSB). For the higher part of the spectrum ($M \ge 2 GeV$) spin and chiral effects are…

High Energy Physics - Phenomenology · Physics 2009-07-28 Yu. A. Simonov

This is a review of hadron structure physics from lattice QCD. Throughout this report, we place emphasis on the contribution of lattice results to our understanding of a number of fundamental physics questions related to, e.g., the origin…

High Energy Physics - Lattice · Physics 2010-04-29 Ph. Hägler

Quantum Chromodynamics is the theory of strong interactions. It has been shown during the last decades that it describes correctly most of the properties of hadrons at high energy. The most distinctive feature of the theory is the…

Nuclear Theory · Physics 2026-03-10 O Civitarese , S. Fassari , M. Gadella , F. Rinaldi

Baryon chiral perturbation theory (BChPT), as an effective field theory of low-energy quantum chromodynamics (QCD), has played and is still playing an important role in our understanding of non-perturbative strong interaction phenomena. In…

Nuclear Theory · Physics 2013-06-11 Lisheng Geng

I consider some selected topics in chiral perturbation theory (CHPT) as probed at colliders such as DA$\Phi$NE. Emphasis is put on processes involving pions in the isospin zero S-wave which require multi-loop calculations. These include the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Ulf-G. Meißner

We review recent progress in the understanding of low-energy baryon structure by means of chiral perturbation theory. In particular, we discuss the application of this formalism to the description of various properties such as the…

High Energy Physics - Phenomenology · Physics 2011-02-15 J. Martin-Camalich , L. S. Geng , M. J. Vicente Vacas

A short overview of the current state of Chiral Perturbation Theory is given. This includes a description of the basic assumptions, the usefulness of the external field method is emphasized using a simple lowest order example. Then at…

High Energy Physics - Phenomenology · Physics 2016-09-01 Johan Bijnens

In the first part of these lectures, I consider chiral perturbation theory in the presence of matter fields. It allows to systematically work out the consequences of the broken chiral symmetry of QCD. As examples, threshold pion photo- and…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ulf-G. Meißner

As increased statistics and new ensembles with light pions have become available within the CLS effort, we complete previous work by inspecting the chiral behaviour of the pion decay constant. We discuss the validity of Chiral Perturbation…

High Energy Physics - Lattice · Physics 2013-11-26 Stefano Lottini

We use chiral perturbation theory to investigate hadronic properties in strong electric and magnetic fields. A strong-field power counting is employed, and results for pions and nucleons are obtained using Schwinger's proper-time method. In…

High Energy Physics - Phenomenology · Physics 2008-12-18 Brian C. Tiburzi

In the last century the non-perturbative regularization of chiral fermions was a long-standing problem. We review how this problem was finally overcome by the formulation of a modified but exact form of chiral symmetry on the lattice. This…

High Energy Physics - Lattice · Physics 2011-09-28 Wolfgang Bietenholz