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As a direct source of information on chiral symmetry breaking within QCD, the sigma commutator is of considerable importance. Since hadron structure is a non-perturbative problem, numerical calculations on a space-time lattice are currently…

Nuclear Theory · Physics 2010-02-17 Stewart V. Wright , Derek B. Leinweber , Anthony W. Thomas

We give a pedagogical review of implications of chiral symmetry in QCD. First, we briefly discuss classical textbook subjects such as the axial anomaly, spontaneous breaking of the flavor-nonsinglet chiral symmetry, formation of light…

High Energy Physics - Phenomenology · Physics 2016-11-23 A. V. Smilga

We present results concerning the light and strange quark contents of the nucleon using $N_f=2+1+1$ flavours of maximally twisted mass fermions. The corresponding $\sigma$-terms are casting light on the origin of the nucleon mass and their…

High Energy Physics - Lattice · Physics 2013-11-26 C. Alexandrou , M. Constantinou , V. Drach , K. Hadjiyiannakou , K. Jansen , G. Koutsou , A. Strelchenko , A. Vaquero

The pion-nucleon sigma term, characterizing the mass component of Higgs origin related to $u$ and $d$ quarks inside the nucleon, is investigated within relativistic baryon chiral perturbation theory at leading two-loop order using the…

High Energy Physics - Phenomenology · Physics 2025-08-18 Ze-Rui Liang , Han-Xue Chen , Feng-Kun Guo , Zhi-Hui Guo , De-Liang Yao

This paper is concerned with Spearman's correlation matrices under large dimensional regime, in which the data dimension diverges to infinity proportionally with the sample size. We establish the central limit theorem for the linear…

Statistics Theory · Mathematics 2024-11-26 Hantao Chen , Cheng Wang

We report the findings of our extensive study of the spectra of flavoured mesons in lattice gauge theories with symplectic gauge group and fermion matter content treated in the quenched approximation. For the $Sp(4)$, $Sp(6)$, and $Sp(8)$…

High Energy Physics - Lattice · Physics 2024-04-17 Ed Bennett , Jack Holligan , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

The light scalar meson spectrum is studied using the improved ladder QCD with the UA(1) breaking Kobayashi-Maskawa-'t Hooft interaction by solving the Schwinger-Dyson and Bethe-Salpeter equations. The dynamically generated…

High Energy Physics - Phenomenology · Physics 2009-11-10 Toru Umekawa , Kenichi Naito , Makoto Oka , Makoto Takizawa

Feynman rules for the vacuum amplitude of fermions coupled to external gauge and Higgs fields in a domain wall lattice model are derived using time--dependent perturbation theory. They have a clear and simple structure corresponding to…

High Energy Physics - Theory · Physics 2016-09-06 S. Randjbar-Daemi , J. Strathdee

We calculate saturation curves for strange hadron matter using recently constructed baryon-baryon potentials which are constrained by SU(3) symmetry. All possible interaction channels within the baryon octet (consisting of $N$, $\Lambda$,…

Nuclear Theory · Physics 2009-10-31 V. G. J. Stoks , T. -S. H. Lee

The status of lattice calculations in the light hadron sector is reviewed. Special emphasis is given to recent lattice determinations of the mass of the strange quark. The impact of non-perturbative renormalization and control over lattice…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hartmut Wittig

Feynman diagrams (notably the triangle diagram) involving heavy enough particles contain branch cuts on the physical sheet - anomalous thresholds - which, unlike normal thresholds and bound-state poles, do not correspond to any asymptotic…

High Energy Physics - Theory · Physics 2025-10-07 Miguel Correia

We investigate the quark mass dependence of baryon masses in 2+1 flavor lattice QCD using SU(3) heavy baryon chiral perturbation theory up to one-loop order. The baryon mass data used for the analyses are obtained for the degenerate up-down…

High Energy Physics - Lattice · Physics 2009-11-06 K. -I. Ishikawa , N. Ishizuka , T. Izubuchi , D. Kadoh , K. Kanaya , Y. Kuramashi , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshie

We present in this talk a recent analysis for the magnetic moments of the baryon antidecuplet within the framework of the chiral quark-soliton model with linear $m_s$ corrections considered. We take into account the mixing of higher…

High Energy Physics - Phenomenology · Physics 2017-08-23 Hyun-Chul Kim , Ghil-Seok Yang , Michal Praszalowicz , Klaus Goeke

The strange quark plays a unique role in QCD, reflecting its intermediate mass between the light and heavy quarks. In recent years, remarkable progress has been made in the spectroscopy of baryons with strangeness. Many new features of the…

High Energy Physics - Phenomenology · Physics 2021-07-14 Tetsuo Hyodo , Masayuki Niiyama

As a direct source of information on chiral symmetry breaking within QCD, the sigma commutator is of considerable importance. With recent advances in the calculation of hadron masses within full QCD it is of interest to see whether the…

High Energy Physics - Lattice · Physics 2010-02-17 D. B. Leinweber , A. W. Thomas , S. V. Wright

Strange quark content of the nucleon is calculated in dynamical lattice QCD employing the overlap fermion formulation. For this quantity, exact chiral symmetry guaranteed by the Ginsparg-Wilson relation is crucial to avoid large…

High Energy Physics - Lattice · Physics 2011-06-21 JLQCD collaboration , K. Takeda , S. Aoki , S. Hashimoto , T. Kaneko , J. Noaki , T. Onogi

New results on baryon structure and spectrum developed in collaboration with Dan Riska [1-4] are reported. The main idea is that beyond the chiral symmetry spontaneous breaking scale light and strange baryons should be considered as systems…

High Energy Physics - Phenomenology · Physics 2014-11-17 L. Ya. Glozman

We study the impact of explicit chiral symmetry breaking of lattice Wilson fermions on mesonic correlators in the epsilon-regime using Wilson chiral perturbation theory. We generalize the epsilon-expansion of continuum chiral perturbation…

High Energy Physics - Lattice · Physics 2009-04-29 Oliver Bar , Silvia Necco , Stefan Schaefer

We define a scale-dependent effective mass anomalous dimension from the scaling of the mode number of the massless Dirac operator, which connects the perturbative $\gamma_m$ of an asymptotically-free system to the universal…

High Energy Physics - Lattice · Physics 2022-09-21 Anqi Cheng , Anna Hasenfratz , Gregory Petropoulos , David Schaich

The electromagnetic properties of the baryon octet are calculated in quenched QCD on a 20^3 x 40 lattice with a lattice spacing of 0.128 fm using the fat-link irrelevant clover (FLIC) fermion action. FLIC fermions enable simulations to be…

High Energy Physics - Lattice · Physics 2010-03-04 S. Boinepalli , D. B. Leinweber , A. G. Williams , J. M. Zanotti , J. B. Zhang