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Related papers: A MASTER FORMULA FOR CHIRAL SYMMETRY BREAKING

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Explicit chiral symmetry breaking is a natural feature of many QCD inspired models with multi-quark interactions. To carry out the 1/N expansion of these theories, one integrates over the quark fields. In the process of calculating the…

High Energy Physics - Theory · Physics 2007-08-23 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin

Nonperturbative Wilson coefficients associated with the leading chiral-symmetry-breaking operators in the operator product expansion of the pseudoscalar QCD correlation function are derived. Implementation of the new, instanton-induced…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hilmar Forkel

A chiral Lagrangian with $ SU(3) $ breaking and higher resonances is proposed. In this model, the $ SU(3) $ breaking structure in vector-pseudoscalar sector is realized with the decay constants of pseudoscalar mesons and the masses of…

High Energy Physics - Phenomenology · Physics 2017-02-01 M. Hayakawa , T. Kurimoto , A. I. Sanda

We study chiral symmetry breaking in the Nambu--Jona-Lasinio model regularized in proper-time in arbitrary space-time dimensions through an iterative procedure by writing the gap equation in the form of a discrete dynamical system with the…

High Energy Physics - Phenomenology · Physics 2018-10-03 Aftab Ahmad , Angelo Martínez , Alfredo Raya

We construct in a manifestly supersymmetric form the leading and subleading terms in momentum for an effective supersymmetric chiral Lagrangian in terms of complex pions and their superpartners. A soft supersymmetry breaking term is…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. J. Barnes , D. A. Ross , R. D. Simmons

We present technical details of the evaluation of the elastic pi-pi scattering amplitude to two loops in chiral perturbation theory. In particular, we elaborate on the renormalization procedure at the two-loop order and on the evaluation of…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Bijnens , G. Colangelo , G. Ecker , J. Gasser , M. E. Sainio

We study baryon-baryon scattering by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. We derive the corresponding diagrammatic rules paying special…

Nuclear Theory · Physics 2019-10-23 V. Baru , E. Epelbaum , J. Gegelia , X. -L. Ren

This review addresses the practical convergence of the ChPT series in the p-regime. In the SU(2) framework there is a number of new results, and improved estimates of \bar\ell_3 and \bar\ell_4 are available. In the SU(3) framework few new…

High Energy Physics - Lattice · Physics 2013-05-27 Stephan Durr

We calculate the next-to-leading order corrections to the $SU(2)\otimes SU(2)$ and $SU(3)\otimes SU(3)$ Gell-Mann-Oakes-Renner relations. We use a pseudoscalar correlator calculated from Perturbative QCD up to five loops and use the QCD…

High Energy Physics - Phenomenology · Physics 2024-03-28 Preshin Moodley

The statement of the authors of the article Phys. Rev. C 77, 065211 (2008) that spurious singularities occur in the dispersion relation approach, where imaginary parts of the amplitudes of the process \gamma\gamma->\pi\pi are saturated by…

High Energy Physics - Phenomenology · Physics 2014-11-18 L. V. Fil'kov , V. L. Kashevarov

We report on recent progress on the chiral unitary approach, which is shown to have a much larger convergence radius than ordinary chiral perturbation theory, allowing one to reproduce data for meson meson interaction up to 1.2 GeV and…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. Oset , A. Hosaka , J. C. Nacher , M. Oka , J. A. Oller , A. Parreno , J. R. Pelaez , A. Ramos , H. Toki

The status of chiral perturbation theory in the meson sector is illustrated with several topical examples. The longtime discrepancy between theory and experiment for the charged pion polarizabilities has now been resolved in favour of the…

High Energy Physics - Phenomenology · Physics 2015-10-07 Gerhard Ecker

Motivated by the recent work on the calculation of the $\pi NN$ coupling constant using QCD sum rule beyond the chiral limit, we construct the corresponding sum rules for the couplings, $\eta NN$, $\pi \Xi\Xi$, $\eta \Xi\Xi$, $\pi \Sigma…

Nuclear Theory · Physics 2016-09-08 Hungchong Kim , Takumi Doi , Makoto Oka , Su Houng Lee , -

A representation of the two-loop contribution to the pion decay constant in $SU(3)$ chiral perturbation theory is presented. The result is analytic upto the contribution of the three (different) mass sunset integrals, for which an expansion…

High Energy Physics - Phenomenology · Physics 2017-10-06 B. Ananthanarayan , Johan Bijnens , Shayan Ghosh

We consider chiral perturbation theory for SU(2) at finite temperature $T$ in a constant magnetic background $B$. We compute the thermal mass of the pions and the pion decay constant to leading order in chiral perturbation theory in the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jens O. Andersen

We generalise the reconstruction theorem of Stern, Sazdjian, and Fuchs based on the dispersion relations to the case of the (2 -> 2) scattering of all the pseudoscalar octet mesons (pi, K, eta). We formulate it in a general way and include…

High Energy Physics - Phenomenology · Physics 2008-12-30 M. Zdrahal , J. Novotny

We study SU(5) chiral gauge theories on $R^3\times S^1$. With an unequal number of fundamental and antifundmental matter representations we calculate nontrivial pre-ADS superpotentials generated by composite multi-monopoles. We also point…

High Energy Physics - Theory · Physics 2023-04-26 Jun Seok Lee , John Terning

We discuss supersymmetric $SU(2)$ gauge theory with a single matter field in the $I=3/2$ representation. This theory has a moduli space of exactly degenerate vacua. Classically it is the complex plane with an orbifold singularity at the…

High Energy Physics - Phenomenology · Physics 2009-09-15 K. Intriligator , N. Seiberg , S. H. Shenker

The Sakai-Sugimoto model provides a holographic description for chiral symmetry breaking. We use this model to investigate chirally broken phases in an external magnetic field at finite isospin and baryon chemical potentials. The equations…

High Energy Physics - Theory · Physics 2009-05-29 Anton Rebhan , Andreas Schmitt , Stefan A. Stricker

Considering simultaneously isospin and SU(3) flavor symmetry breakings, we investigate the complete mass splittings of SU(3) baryons within a chiral soliton model, a {}"model-independent approach" being employed. In linear order several new…

High Energy Physics - Phenomenology · Physics 2012-09-03 Ghil-Seok Yang , Hyun-Chul Kim