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Two twisted doublets, one containing the up and down quarks and the other containing the strange quark with an SU(2)-flavor partner, are used for studies in the meson sector. The relevant chiral perturbation theory is presented, and…

High Energy Physics - Lattice · Physics 2011-02-01 Abdou M. Abdel-Rehim , Randy Lewis , R. M. Woloshyn , Jackson M. S. Wu

The chiral extrapolation of the nucleon mass, M_n, is investigated using data coming from 2-flavour partially-quenched lattice simulations. A large sample of lattice results from the CP-PACS Collaboration is analysed using the leading…

High Energy Physics - Lattice · Physics 2014-11-18 W. Armour , C. R. Allton , D. B. Leinweber , A. W. Thomas , R. D. Young

We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) gauge theory and in full QCD as well as in quenched U(1) theory. As a measure of the fluctuation properties of the eigenvalues, we consider the nearest-neighbor…

High Energy Physics - Lattice · Physics 2009-10-31 Elmar Bittner , Harald Markum , Rainer Pullirsch

The phase structure of zero temperature twisted mass lattice QCD is investigated. We find strong metastabilities in the plaquette observable when the untwisted quark mass assumes positive or negative values. We provide interpretations of…

High Energy Physics - Lattice · Physics 2009-11-10 F. Farchioni , R. Frezzotti , K. Jansen , I. Montvay , G. C. Rossi , E. Scholz , A. Shindler , N. Ukita , C. Urbach , I. Wetzorke

I begin by discussing the basic ideas of quantum field theory (QFT). I provide a review of symmetries in physics and then move on to discuss the quark model. I then review lattice gauge theory with particular attention paid to lattice QCD…

High Energy Physics - Lattice · Physics 2009-09-29 W Armour

We present a scaling investigation of some correlation functions in $\Or(a)$ improved quenched lattice QCD. In particular, as one observable the renormalized PCAC quark mass is considered. Others are constructed such that they become the…

High Energy Physics - Lattice · Physics 2015-06-25 Jochen Heitger

This review addresses the practical convergence of the ChPT series in the p-regime. In the SU(2) framework there is a number of new results, and improved estimates of \bar\ell_3 and \bar\ell_4 are available. In the SU(3) framework few new…

High Energy Physics - Lattice · Physics 2013-05-27 Stephan Durr

We investigate QCD-like theory with exact center symmetry, with emphasis on the finite-temperature phase transition concerning center and chiral symmetries. On the lattice, we formulate center symmetric $SU(3)$ gauge theory with three…

High Energy Physics - Lattice · Physics 2015-11-30 Takumi Iritani , Etsuko Itou , Tatsuhiro Misumi

Lattice QCD with Wilson quarks and a chirally twisted mass term represents a promising alternative regularization of QCD, which does not suffer from unphysical fermion zero modes. We show how the correlation functions of the renormalized…

High Energy Physics - Lattice · Physics 2010-02-03 Roberto Frezzotti , Pietro Antonio Grassi , Stefan Sint , Peter Weisz

We present results on the mass of the nucleon and the $\Delta$ using two dynamical degenerate twisted mass quarks. The evaluation is performed at four quark masses corresponding to a pion mass in the range of 690-300 MeV on lattices of size…

We develop quenched chiral perturbation theory for vector mesons made of light quarks, in the limit where the vector meson masses are much larger than the pion mass. We use this theory to extract the leading nonanalytic dependence of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Michael Booth , George Chiladze , Adam F. Falk

In recent years, detailed studies of three-pion systems have become possible in lattice QCD. This has in turn led to interest in 3-to-3 scattering of pions in the chiral perturbation theory framework. In addition to being an interesting…

High Energy Physics - Phenomenology · Physics 2023-10-12 Jorge Baeza-Ballesteros , Johan Bijnens , Tomáš Husek , Fernando Romero-López , Stephen R. Sharpe , Mattias Sjö

We use chiral perturbation theory to study the extraction of pion electromagnetic polarizabilities from lattice QCD. Chiral extrapolation formulae are derived for partially quenched QCD, and quenched QCD simulations. On a torus, volume…

High Energy Physics - Lattice · Physics 2008-11-26 Jie Hu , Fu-Jiun Jiang , Brian C. Tiburzi

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

Hadron masses are computed from quenched twisted mass lattice QCD for a degenerate doublet of up and down quarks with the twist angle set to pi/2, since this maximally twisted theory is expected to be free of linear discretization errors.…

High Energy Physics - Lattice · Physics 2009-11-11 Abdou M. Abdel-Rehim , Randy Lewis , R. M. Woloshyn

We present results for the leading order QCD correction to the anomalous magnetic moment of the muon including the first two generations of quarks as dynamical degrees of freedom. Several light quark masses are examined in order to yield a…

High Energy Physics - Lattice · Physics 2013-11-18 Florian Burger , Xu Feng , Grit Hotzel , Karl Jansen , Marcus Petschlies , Dru B. Renner

We determine several quantities in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with Wilson gauge action at $ \beta = 6.0 $ on the $ 16^3 \times 32 $ lattice, we compute quenched quark propagators…

High Energy Physics - Lattice · Physics 2008-11-26 Ting-Wai Chiu , Tung-Han Hsieh

We present a scaling study of lattice QCD with O(a) improved Wilson fermions and a chirally twisted mass term. In order to get precise results with a moderate computational effort, we have considered a system of physical size of 0.75^3 *…

High Energy Physics - Lattice · Physics 2009-10-31 M. Della Morte , R. Frezzotti , J. Heitger , S. Sint

I will review heavy baryon chiral perturbation theory for the nucleon delta degrees of freedom and then examine the recent dynamical lattice calculations of the nucleon mass from the BMW, ETM, JLQCD, LHP, MILC, NPLQCD, PACS-CS, QCDSF/UKQCD…

High Energy Physics - Lattice · Physics 2009-12-04 Andre Walker-Loud

In this paper we investigate the cutoff effects at tree-level of perturbation theory for three different lattice regularizations of fermions -- maximally twisted mass Wilson, overlap and Creutz fermions. We show that all three kinds of…

High Energy Physics - Lattice · Physics 2008-12-23 Krzysztof Cichy , Jenifer Gonzalez Lopez , Agnieszka Kujawa
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