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We report on a lattice QCD estimate of the quark spin fraction of the proton spin. The estimate is arrived at by means of a lattice QCD simulation of the polarized proton matrix element of the Adler-Bell-Jackiw anomaly. The preliminary…

高能物理 - 格点 · 物理学 2007-05-23 Jeffrey E. Mandula

This talk contains an analysis of quenched chiral perturbation theory and its consequences. The chiral behavior of a number of quantities such as the pion mass $m_\pi^2$, the Bernard-Golterman ratios $R$ and $\chi$, the masses of nucleons,…

高能物理 - 格点 · 物理学 2009-10-28 Rajan Gupta

A lattice QCD calculation of the proton matrix element of the flavor singlet axial-vector current is reported. Both the connected and disconnected contributions are calculated, for the latter employing the variant method of wall source…

高能物理 - 格点 · 物理学 2009-10-28 M. Fukugita , Y. Kuramashi , M. Okawa , A. Ukawa

The value of the proton singlet axial constant is estimated. It has been shown that the axial anomaly plays a crucial role in this calculation. Obtained result is sufficiently suppressed in comparison with the naively expected one. The…

高能物理 - 唯象学 · 物理学 2016-09-01 G. T. Gabadadze

I present results from the first lattice QCD calculations of axial-current matrix elements in light nuclei, performed by the NPLQCD collaboration. Precision calculations of these matrix elements, and the subsequent extraction of…

Quenched lattice QCD simulations and quenched chiral perturbation theory are used together for this study of strangeness in the nucleon. Dependences of the matrix elements on strange quark mass, valence quark mass and momentum transfer are…

高能物理 - 唯象学 · 物理学 2009-11-07 Randy Lewis , W. Wilcox , R. M. Woloshyn

The contribution of the strange-quark current to the electromagnetic form factors of the nucleon is studied using lattice QCD. The strange current matrix elements from our lattice calculation are analyzed in two different ways, the…

高能物理 - 唯象学 · 物理学 2017-08-23 R. Lewis , W. Wilcox , R. M. Woloshyn

A new technique for computing the strangeness content of the proton on the lattice is described. It is applied to the calculation of the strange quark contribution to the proton's spin, specifically to the evaluation of the proton matrix…

高能物理 - 格点 · 物理学 2009-10-22 Jeffrey E. Mandula , Michael C. Ogilvie

We present a quenched lattice QCD calculation of the \alpha and \beta parameters of the proton decay matrix element. The simulation is carried out using the Wilson quark action at three values of the lattice spacing in the range a\approx…

We use a random matrix model to study chiral symmetry breaking in QCD at finite chemical potential $\mu$. We solve the model and compute the eigenvalue density of the Dirac matrix on a complex plane. A naive ``replica trick'' fails for…

高能物理 - 格点 · 物理学 2009-10-28 M. A. Stephanov

The axial anomaly in the divergence of the singlet axial current in QCD $+$ QED leads to low-energy theorems for the matrix element of this operator equation over vacuum and two--photon states and for the matrix element over vacuum and…

高能物理 - 唯象学 · 物理学 2007-05-23 M. M. Musakhanov , F. C. Khanna

We present a lattice QCD calculation of the parameters \alpha and \beta which are necessary in the theoretical estimation of the proton lifetime in grand unified theories (GUTs) using chiral lagrangian approach. The simulation is carried…

The extraction of hadron matrix elements in lattice QCD using the standard two- and three-point correlator functions demands careful attention to systematic uncertainties. One of the most commonly studied sources of systematic error is…

I describe recent developments in quenched chiral perturbation theory (QChPT) and the status of weak matrix elements involving light quarks. I illustrate how, with improved statistical errors, and with calculations of the masses of baryons…

高能物理 - 格点 · 物理学 2009-10-28 Stephen R. Sharpe

In the anomaly equation for the singlet axial current the chiral limit of the quark mass term does not vanish but comprises contribution from fermion zero modes whose integral exactly cancels the topological charge arising from the…

高能物理 - 唯象学 · 物理学 2008-08-05 H. Banerjee , Gautam Bhattacharya

Results for the isovector axial form factors of the proton from a lattice QCD calculation are presented for both point-split and local currents. They are obtained on a quenched $16^{3} \times 24$ lattice at $\beta= 6.0$ with Wilson fermions…

高能物理 - 格点 · 物理学 2009-09-25 K. F. Liu , S. J. Dong , T. Draper , J. M. Wu , W. Wilcox

We perform a study of matrix elements relevant for the Delta I=1/2 rule and the direct CP-violation parameter epsilon-prime from first principles by computer simulation in Lattice QCD. We use staggered (Kogut-Susskind) fermions, and employ…

高能物理 - 格点 · 物理学 2008-11-26 D. Pekurovsky , G. Kilcup

Non-conserved composite operators like the quark axial current have divergent matrix elements therefore must be renormalized. We explore how this can be done in quark model calculations where the systematic procedure of dimensional…

高能物理 - 唯象学 · 物理学 2007-05-23 X. S. Chen , X. B. Chen , Amand Faessler , Th. Gutsche , F. Wang

This thesis presents the setup and results of numerical calculation of hadronic matrix elements of Delta S=1 weak operators, with the aim of studying the Delta I=1/2 rule and direct CP violation. Such study provides a useful comparison of…

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

$\pi$-$N$ $\sigma$ term and proton axial vector matrix elements are calculated including disconnected contributions with a variant wall source method using the Wilson quark action at $\beta=5.7$ in quenched QCD. For the $\sigma$ term, we…

高能物理 - 格点 · 物理学 2009-10-28 M. Fukugita , Y. Kuramashi , M. Okawa , A. Ukawa
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