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We propose an effective chiral Lagrangian with a chiral scalar introduced as a dilaton associated with broken conformal symmetry and responsible for the trace anomaly in QCD and discuss the properties of hadronic matter at high density and…

High Energy Physics - Phenomenology · Physics 2011-11-04 Chihiro Sasaki

We perform an analysis of Lattice QCD data on baryon octet and decuplet masses based on the chiral SU(3) Lagrangian. Low-energy constants (LEC) are adjusted to describe baryon masses from a large set of CLS ensembles, where finite-box and…

High Energy Physics - Lattice · Physics 2023-06-14 Matthias F. M. Lutz , Yonggoo Heo , Xiao-Yu Guo

We consider the chiral expansion of the octet baryon magnetic moments in heavy baryon chiral perturbation theory including all terms which are of order $q^4$. These terms are formally of quadratic order in the quark masses. We show that…

High Energy Physics - Phenomenology · Physics 2016-09-06 Ulf-G. Meißner , S. Steininger

We use a configuration space chiral model in order to evaluate nucleon and delta sigma-terms. Analytic expressions are consistent with chiral counting rules and give rise to expected non-analytic terms in the chiral limit. We obtain the…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. P. Cavalcante , M. R. Robilotta , J. Sa Borges , D. de O. Santos , G. R. S. Zarnauskas

Fits of the p^4 covariant SU(2) baryon chiral perturbation theory to lattice QCD nucleon mass data from several collaborations for 2 and 2+1 flavors are presented. We consider contributions from explicit Delta(1232) degrees of freedom,…

High Energy Physics - Phenomenology · Physics 2015-06-18 L. Alvarez-Ruso , T. Ledwig , J. Martin-Camalich , M. J. Vicente Vacas

The pion nucleon sigma-term is extracted on the basis of the soliton picture of the nucleon from the mass spectrum of usual and the recently observed exotic baryons, assuming that they have positive parity. The value found is consistent…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Schweitzer

We discuss the role of the Feynman-Hellmann theorem for abstract one-parameter families of Hamiltonians in sum rules and trace identities of Harrell and the author and its application to spectral theory. In particular, we derive a sum rule…

Spectral Theory · Mathematics 2026-05-26 Joachim Stubbe

The pion-nucleon sigma term ($\sigma_{\pi N}$) is an observable of fundamental importance because embodies information about the internal scalar structure of the nucleon. Nowadays this quantity has triggered renewed interest because it is a…

High Energy Physics - Phenomenology · Physics 2013-01-22 J. M. Alarcón , J. Martin Camalich , J. A. Oller

We calculate the variation of the chiral condensate in medium with respect to the quark chemical potential and evaluate the pion-nucleon sigma term via the Hellmann-Feynman theorem. The variation of chiral condensate in medium are obtained…

Nuclear Theory · Physics 2020-03-27 Jing-Hui Huang , Ting-Ting Sun , Huan Chen

The results of a high-statistics study of scalar and pseudoscalar meson propagators in quenched lattice QCD are presented. For two values of lattice spacing, $\beta=5.7$ ($a \approx .18$ fm) and 5.9 ($a \approx .12$ fm), we probe the light…

High Energy Physics - Lattice · Physics 2009-11-10 W. Bardeen , E. Eichten , H. Thacker

We review the quark-mass dependence of the baryon octet and decuplet masses as obtained from recent lattice simulations of the BMW, PACS-CS, LHPC, HSC and QCDSF-UKQCD groups. Our discussion relies on the relativistic chiral Lagrangian and…

High Energy Physics - Lattice · Physics 2013-02-05 M. F. M. Lutz , A. Semke

The classically perfect Fixed-Point fermion action for lattice QCD, a highly improved discretization of the continuum theory that preserves chiral symmetry, is constructed in this thesis and a parallel work by T. Jorg. In the framework of…

High Energy Physics - Lattice · Physics 2007-05-23 Simon Hauswirth

The medium modified hadron properties are studied by using the scale-chiral perturbation theory $\chi$PT$_\sigma$ in which the lightest scalar meson $f_0(500)$ is included as an explicit degree of freedom by regarding it as the…

High Energy Physics - Phenomenology · Physics 2017-10-10 Yan-Ling Li , Yong-Liang Ma

We consider a possible discretization for the gauge-fixed Green-Schwarz (two-dimensional) sigma-model action for the Type IIB superstring and use it for measuring the cusp anomalous dimension of planar $\mathcal{N}=4$ SYM as derived from…

High Energy Physics - Lattice · Physics 2016-01-19 Valentina Forini , Lorenzo Bianchi , Marco S. Bianchi , Björn Leder , Edoardo Vescovi

A study of the chiral behavior of pseudoscalar masses and decay constants is carried out in quenched lattice QCD with Wilson fermions. Using the modified quenched approximation (MQA) to cure the exceptional configuration problem, accurate…

High Energy Physics - Lattice · Physics 2009-10-31 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

We investigate the pion-mass dependence of the nucleon mass within the covariant SU(2) baryon chiral perturbation theory up to order p4 with and without explicit Delta(1232) degrees of freedom. We fit lattice QCD data from several…

High Energy Physics - Phenomenology · Physics 2015-06-18 L. Alvarez-Ruso , T. Ledwig , J. Martin Camalich , M. J. Vicente Vacas

Quark line disconnected matrix elements of an operator, such as the axial current, are difficult to compute on the lattice. The standard method uses a stochastic estimator of the operator, which is generally very noisy. We discuss and…

High Energy Physics - Lattice · Physics 2019-01-16 R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , R. D. Young , J. M. Zanotti

We determine the quark contributions to the nucleon spin Delta s, Delta u and Delta d as well as their contributions to the nucleon mass, the sigma-terms. This is done by computing both, the quark line connected and disconnected…

I review recent progress made in the description of pion-nucleon scattering, the $\sigma$--term, the scalar form factor and the strangeness content of the nucleon in the framework of heavy baryon chiral perturbation theory. Other topics are…

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

The spin distributions, weak decay matrix elements for strange baryon octets with SU(3) breaking effects is studied. We systematically apply operator formalism along with statistical method to study JP= strange baryon octets for their low…

High Energy Physics - Phenomenology · Physics 2015-06-16 A. Upadhyay , M. Batra
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