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A $1/\N$ expansion of the chiral Lagrangian for baryons is formulated and used to study the low-energy dynamics of baryons interacting with the pion nonet $\pi$, $K$, $\eta$ and $\eta^\prime$ in a combined expansion in chiral symmetry…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth Jenkins

Baryons of lower spin in partially quenched large-$N_c$ QCD are studied with particular emphasis to interpolation between standard unquenched and fully quenched limits. In large $N_c$ limit of partially quenched QCD, we calculate $\Delta…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chi-Keung Chow , Soo-Jong Rey

An SU(3) chiral Lagrangian for the lightest decuplet of baryons is constructed on a discrete lattice of spacetime points, and is added to an existing lattice Lagrangian for the lightest octets of mesons and baryons. A nonzero lattice…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bugra Borasoy , Randy Lewis , Pierre-Philippe A. Ouimet

We compute nonanalytical pion-loop corrections to baryon masses in a combined expansion in chiral symmetry breaking and 1/N_c, where N_c is the number of colors. Specifically, we compute flavor-27 baryon mass splittings at leading order in…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ruben Flores-Mendieta

The utility of chiral effective field theory, constructed in a manner in which loop contributions are suppressed as one moves outside the power-counting regime, is explored for baryon magnetic moments. Opportunities for the study of…

High Energy Physics - Lattice · Physics 2015-05-18 Derek B. Leinweber , Ross D. Young

Following Golterman and Shamir, we develop scale-chiral perturbation theory in the large $N_c$ and large $N_f$ Veneziano limit that incorporates both light-quark baryons and hidden local symmetric bosons and derive a leading-order scale…

Nuclear Theory · Physics 2018-02-23 Yan-Ling Li , Peng-Sheng Wen , Yong-Liang Ma , Mannque Rho

Effective field theories of the strong interactions based on the approximate chiral symmetry of QCD provide a model-independent approach to low-energy hadron physics. We give a brief introduction to mesonic and baryonic chiral perturbation…

High Energy Physics - Phenomenology · Physics 2015-03-19 Matthias R Schindler , Stefan Scherer

Interactions of $a_2, K^*_2, f_2$ and $f_2'$ tensor-mesons with low-energy $\pi, K, \eta, \eta'$ pseudo-scalar mesons are constrained by chiral symmetry. We derive a chiral Lagrangian of tensor mesons in which the tensor mesons are treated…

High Energy Physics - Phenomenology · Physics 2010-02-03 Chi-Keung Chow , Soo-Jong Rey

Chiral perturbation theory and its unitarized versions have played an important role in our understanding of the low-energy strong interaction. Yet, so far, such studies typically deal exclusively with perturbative or nonperturbative…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jun-Xu Lu , Li-Sheng Geng , Michael Doering , Maxim Mai

We develop chiral perturbation theory for baryons in quenched QCD. Quenching (the elimination of diagrams containing virtual quark loops) is achieved by extending the Lagrangian method of Bernard and Golterman, and is implemented in a…

High Energy Physics - Lattice · Physics 2009-10-28 James N. Labrenz , Stephen R. Sharpe

The use of SU(3) chiral perturbation theory in the analysis of low energy meson-baryon interactions is discussed. It is emphasized that short distance effects, arising from propagation of Goldstone bosons over distances smaller than a…

High Energy Physics - Phenomenology · Physics 2011-05-05 John F. Donoghue , Barry R. Holstein , Bugra Borasoy

Starting from a relativistic formulation of the pion-nucleon-delta system, the most general structure of 1/M corrections for a heavy baryon chiral lagrangian including spin 3/2 resonances is given. The heavy components of relativistic…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas R. Hemmert , Barry R. Holstein , Joachim Kambor

We introduce an effective chiral Lagrangian with a dilaton responsible for the trace anomaly in QCD. As the "dilaton limit" is taken, which drives a system to near chiral restoration density, a linear sigma model emerges from the highly…

High Energy Physics - Phenomenology · Physics 2012-01-27 Chihiro Sasaki

This lecture comprises some recent developments concerning the description of baryons as topological solitons in effective chiral meson theories. In the first part one-loop corrections to the classical tree approximation are discussed. This…

High Energy Physics - Phenomenology · Physics 2011-04-15 Gottfried Holzwarth

The analysis of hadronic interactions with effective field theory techniques is complicated by the appearance of a large number of low-energy constants, which are usually fitted to data. On the other hand, the large-$N_c$ limit imposes…

High Energy Physics - Phenomenology · Physics 2015-01-12 T. Ledwig , J. Nieves , A. Pich , E. Ruiz Arriola , J. Ruiz de Elvira

Heavy baryon chiral perturbation theory including spin 3/2 delta resonances as effective degrees of freedom is reviewed. The theory admits a systematic expansion in the small scale $\epsilon$, where $\epsilon$ collectively denotes soft…

High Energy Physics - Phenomenology · Physics 2009-10-30 Joachim Kambor

We review the Skyrme model approach which treats baryons as solitons of an effective meson theory. We start out with a historical introduction and a concise discussion of the original two flavor Skyrme model and its interpretation. Then we…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Schechter , H. Weigel

The approach of path integral hadronization, applied to a quark-diquark toy model, is used to derive an effective chiral meson-baryon Lagrangian. In this approach the Goldberger-Treiman relation, found at the quark-meson level, is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dietmar Ebert , Thomas Jurke

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

We present a new formulation of pseudoscalar meson loop corrections to nucleon parton distributions within a nonlocal covariant chiral effective field theory, including contributions from SU(3) octet and decuplet baryons. The nonlocal…

High Energy Physics - Phenomenology · Physics 2019-02-06 Y. Salamu , Chueng-Ryong Ji , W. Melnitchouk , A. W. Thomas , P. Wang