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Results for $\beta$-functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients for each diagram following from supersymmetry are analysed. The…

高能物理 - 理论 · 物理学 2025-06-16 Ian Jack , Hugh Osborn , Tom Steudtner

This study delves into the contribution of the strange quark within the proton, which influences several fundamental proton properties. By establishing a robust relationship between the proton's quantum anomalous energy and the sigma term,…

高能物理 - 唯象学 · 物理学 2024-02-14 Wei Kou , Xurong Chen

We present results for hadrons containing a strange quark in quenched lattice QCD. We calculate masses and decay constants using 60 gauge configurations with an O(a)-improved fermion action at beta = 6.2. Using the rho mass to set the…

高能物理 - 格点 · 物理学 2007-05-23 D. G. Richards

We first discuss the theoretical and phenomenological significance of the sigma meson ($\sigma$) in QCD. It is indicated that if the collective modes with the mass 500-600 MeV exists in the $I=J=0$ channel, various empirical facts in hadron…

高能物理 - 唯象学 · 物理学 2007-05-23 Teiji Kunihiro

We calculate the octet baryon magnetic moments in covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme up to next-to-next-to-leading order. At this order, there are nine low-energy constants,…

高能物理 - 唯象学 · 物理学 2018-06-25 Yang Xiao , Xiu-Lei Ren , Jun-Xu Lu , Li-Sheng Geng , Ulf-G. Meißner

The spectra of the nucleons and the strange hyperons are well described by a harmonic confinement potential for the constituent quarks and an SU(3) flavor-symmetric interaction mediated by the pseudoscalar octet that is associated with the…

高能物理 - 唯象学 · 物理学 2008-02-03 L. Ya. Glozman , D. O. Riska

The magnetic polarisabilities of octet baryons are calculated close to the physical quark-mass point using the background field method in lattice QCD. This first calculation draws on the identification and elimination of exceptional…

高能物理 - 格点 · 物理学 2024-12-13 Thomas Kabelitz , Waseem Kamleh , Derek Leinweber

Off-shell celestial amplitudes with both time-like and space-like external legs are defined. The Feynman rules for scalar amplitudes, viewed as a set of recursion relations for off-shell momentum space amplitudes, are transformed to the…

高能物理 - 理论 · 物理学 2021-09-28 Walker Melton

We take a new approach to determine the scale parameter $r_0$, the physical masses of strange and charm quarks through a global fit which incorporates continuum extrapolation, chiral extrapolation and quark mass interpolation to the lattice…

高能物理 - 格点 · 物理学 2014-01-08 Y. B. Yang , Y. Chen , A. Alexandru , S. J. Dong , T. Draper , M. Gong , F. X. Lee , A. Li , K. F. Liu , Z. Liu , M. Lujan , N. Mathur

We perform an analysis of the QCD lattice data on the baryon octet and decuplet masses based on the relativistic chiral Lagrangian. The baryon self energies are computed in a finite volume at next-to-next-to-next-to leading order (N$^3$LO),…

高能物理 - 格点 · 物理学 2014-09-17 M. F. M. Lutz , R. Bavontaweepanya , C. Kobdaj , K. Schwarz

Recently, properties of the fixed point action for fermion theories have been pointed out indicating realization of chiral symmetry on the lattice. We check these properties by numerical analysis of the spectrum of a parametrized fixed…

高能物理 - 格点 · 物理学 2009-10-31 F. Farchioni , I. Hip , C. B. Lang , M. Wohlgenannt

Perturbation bounds for singular spaces, in particular Wedin's $\sin \Theta$ theorem, are a fundamental tool in many fields including high-dimensional statistics, machine learning, and applied mathematics. In this paper, we establish…

统计理论 · 数学 2020-06-08 T. Tony Cai , Anru Zhang

We present an analysis of the pion-nucleon $\sigma$-term, $\sigma_{\pi N}$, using six ensembles with 2+1+1-flavor highly improved staggered quark action generated by the MILC collaboration. The most serious systematic effect in lattice…

高能物理 - 格点 · 物理学 2021-12-17 Rajan Gupta , Sungwoo Park , Martin Hoferichter , Emanuele Mereghetti , Boram Yoon , Tanmoy Bhattacharya

We study spontaneous symmetry breaking in quantum field theories with fermionic order parameters and construct, for the first time in the literature, the constraint effective potential for it. The Grassmann-valued constraint we encounter is…

高能物理 - 格点 · 物理学 2024-12-18 Gergely Endrődi , Tamás G. Kovács , Gergely Markó , Laurin Pannullo

We present an analysis of the baryon-octet and -decuplet masses using covariant SU(3)-flavor chiral perturbation theory up to next-to-leading order. Besides the description of the physical masses we address the problem of the lattice QCD…

高能物理 - 格点 · 物理学 2010-11-22 J. Martin-Camalich , L. S. Geng , M. J. Vicente Vacas

We present a formalism to evaluate QCD diagrams with a single virtual gluon using a running coupling constant at the vertices. This method, which corresponds to an all-order resummation of certain terms in a perturbative series, provides a…

高能物理 - 唯象学 · 物理学 2010-11-01 Matthias Neubert

Magnetic moments of the octet baryons are computed using lattice QCD in background magnetic fields, including the first treatment of the magnetically coupled Sigma-Lambda system. Although the computations are performed for relatively large…

We study the sigma term and the strange quark content of nucleon in 2+1-flavor QCD with dynamical overlap fermions. We analyze the lattice data of nucleon mass taken at two different strange quark masses with five values of up and down…

高能物理 - 格点 · 物理学 2010-11-05 H. Ohki , S. Aoki , H. Fukaya , S. Hashimoto , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , E. Shintani , N. Yamada

We analyze newly expanded and refined data from lattice studies of an SU(3) gauge theory with eight Dirac fermions in the fundamental representation. We focus on the light composite states emerging from these studies, consisting of a set of…

We determine the nucleon axial, scalar and tensor charges at the continuum limit by analyzing three $N_f=2+1+1$ twisted mass fermion ensembles with all quark masses tuned to approximately their physical values. We include all contributions…