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I describe the methodology for the use of dispersion relations in connection with chiral perturbation theory. The conditions for matching the two formalisms are given at $O(E^2)$ and $O(E^4)$. The two have several complementary features, as…

High Energy Physics - Phenomenology · Physics 2007-05-23 John F. Donoghue

A brief review of the pion-nucleon sigma-term is given. Aspects of both chiral perturbation theory and phenomenology are discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Sainio

I discuss recent progress in our understanding of the pi pi scattering amplitude at low energy thanks to the combined use of chiral perturbation theory and dispersion relations. I also comment on the criticism raised by Pelaez and Yndurain…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gilberto Colangelo

We consider the non-commutative generalization of the chiral perturbation theory. The resultant coupling constants are severely restricted by the model and in good agreement with the data. When applied to the Skyrme model, our scheme…

High Energy Physics - Theory · Physics 2009-10-28 F. Ardalan , K. Kaviani

We discuss two proposals for a non-perturbative formulation of chiral gauge theories on the lattice. In both cases gauge symmetry is broken by the regularization. We aim at a dynamical restoration of symmetry. If the gauge symmetry breaking…

High Energy Physics - Lattice · Physics 2011-04-20 Wolfgang Bock

In this talk, I address the comparison between results from lattice QCD computations and Chiral Perturbation Theory (ChPT). I briefly discuss how ChPT can be adapted to the much-used quenched approximation and what it tells us about the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Maarten Golterman

I review some basic facts about the chiral limit of QCD. This allows to formulate an effective field theory below the chiral symmetry breaking scale, chiral perturbation theory (CHPT). I show that for threshold reactions, the spectrum of…

High Energy Physics - Phenomenology · Physics 2008-02-03 Ulf-G. Meißner

Based on an effective chiral theory of pseudoscalar, vector, and axial-vector mesons, the coefficients of the chiral perturbation theory are predicted. There is no new parameter in these predictions.

High Energy Physics - Phenomenology · Physics 2007-05-23 Bing An Li

By chiral effects one understands manifestations of chiral gauge anomaly and of gravitational chiral anomaly in hydrodynamics. In recent two-three years our understanding of the chiral effects has considerably changed. Here we present…

High Energy Physics - Theory · Physics 2023-08-01 G. Yu. Prokhorov , O. V. Teryaev , V. I. Zakharov

The purpose of my talk is to explain physical backgrounds of the chiral states, which are predicted to exist generally in the low mass regions of hadrons, containing light quarks, and to stimulate the experimental and phenomenological…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shin Ishida

In these lectures, the status of baryon chiral perturbation theory is reviewed. Particular emphasis is put on the two--flavor sector and the physics related to electromagnetic probes. I discuss in some detail the structure of the effective…

High Energy Physics - Phenomenology · Physics 2011-04-15 Ulf-G. Meißner

The microscopic quantum nature of elementary particles, chirality, leads to macroscopic phenomena like the chiral anomaly, chiral magnetic effect, and chiral plasma instability. We review recent progress of the studies of these chiral…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-22 Kohei Kamada , Naoki Yamamoto , Di-Lun Yang

Quenched and partially quenched chiral perturbation theory for vector mesons is developed and is used to extract chiral loop correction to the $\rho$ meson mass. Connections to fully quenched and totally unquenched chiral perturbation…

High Energy Physics - Phenomenology · Physics 2009-10-30 Chi-Keung Chow , Soo-Jong Rey

We discuss how to formulate a staggered chiral perturbation theory. This amounts to a generalization of the Lee-Sharpe Lagrangian to include more than one flavor (i.e. multiple staggered fields), which turns out to be nontrivial. One loop…

High Energy Physics - Lattice · Physics 2016-09-01 C. Aubin , C. Bernard

We calculate the divergences of the generating functional of quenched Chiral Perturbation Theory at one loop, and renormalize the theory by an appropriate definition of the counterterms. We show that the quenched chiral logarithms can be…

High Energy Physics - Lattice · Physics 2009-10-30 Gilberto Colangelo , Elisabetta Pallante

Prepared for the Quantum Field Theory section of the Encyclopedia of Mathematical Physics, Elsevier, 2006. A brief introduction to the methodology and techniques of perturbative relativistic quantum field theory is presented.

High Energy Physics - Theory · Physics 2007-05-23 Richard J. Szabo

A new geometrical interpretation of chiral perturbation theory based on topological QCD is presented in picture format. This work is a written summary of a talk given at NAPP 2003 in Dubrovnik, Croatia.

High Energy Physics - Theory · Physics 2007-05-23 Alfred Tang

We give a brief review of the theoretical description of low energy pion-pion scattering by the combined use of Chiral Perturbation Theory and Roy equations, an update of the Regge parametrization of $\pi\pi$ cross sections at high…

High Energy Physics - Phenomenology · Physics 2010-11-05 Irinel Caprini , Gilberto Colangelo , Heinrich Leutwyler

We give a completely general derivation revealing the precise origin and the quantitative effects of CP and T violations in chiral gauge theories on the lattice.

High Energy Physics - Lattice · Physics 2009-11-11 Werner Kerler

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
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