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Related papers: Finite Volume Effects and Quenched Chiral Logarith…

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We study the quenched chiral behavior of hadrons with the pseudoscalar mass as low as $\approx 280$ MeV. We look for quenched chiral logs in the pion mass, determine the renormalized quark mass, and observe quenched artifacts in the $a_0$…

High Energy Physics - Lattice · Physics 2008-11-26 Shao-Jing Dong , Terrence Draper , Ivan Horvath , Frank Lee , Jianbo Zhang

We extend the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing in the framework of Wilson Chiral Perturbation Theory. We distinguish various regimes by defining the relative power counting of the quark…

High Energy Physics - Lattice · Physics 2010-11-05 Oliver Bar , Silvia Necco , Stefan Schaefer

We study the finite volume effects on the electric polarizability for the neutron, neutral pion, and neutral kaon using eight dynamically generated two-flavor nHYP-clover ensembles at two different pion masses: 306(1) and 227(2) MeV. An…

High Energy Physics - Lattice · Physics 2016-11-02 M. Lujan , A. Alexandru , W. Freeman , F. X. Lee

The vector meson mass is extracted from a large sample of partially quenched, two-flavor lattice QCD simulations. For the first time, discretisation, finite-volume and partial quenching artefacts are treated in a unified framework which is…

High Energy Physics - Lattice · Physics 2010-02-17 C. R. Allton , W. Armour , D. B. Leinweber , A. W. Thomas , R. D. Young

The residual mass of the pion in a finite spatial box at vanishing quark masses, the mass gap, is computed with two flavors of dynamical clover fermions. The result is compared with predictions of chiral perturbation theory in the delta…

High Energy Physics - Lattice · Physics 2010-04-30 W. Bietenholz , M. Göckeler , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , G. Schierholz , J. M. Zanotti

In this paper we use one-loop chiral perturbation theory in order to compare lattice computations of the K+ to pi+ pi0 decay amplitude with the experimental value. This makes it possible to investigate three systematic effects that plague…

High Energy Physics - Lattice · Physics 2016-08-24 Maarten Golterman , Ka Chun Leung

We calculate pion mass, pion decay constant, PCAC quark mass and nucleon mass in two flavour lattice QCD with unimproved Wilson fermion and gauge actions. Simulations are performed using DD-HMC algorithm at two lattice spacings and two…

High Energy Physics - Lattice · Physics 2015-06-12 Abhishek Chowdhury , Asit K. De , Sangita De Sarkar , A. Harindranath , Jyotirmoy Maiti , Santanu Mondal , Anwesa Sarkar

We study the quark mass function on hypercubic lattices, in a large range of physical volumes and cutoffs. To avoid the very large Wilson term artefact, we exploit the relation between the quark mass function and the pseudoscalar vertex in…

High Energy Physics - Lattice · Physics 2014-11-20 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pene , J. Rodriguez-Quintero

Unphysical effects associated with finite lattice spacing and partial quenching generally lead to to the presence of unphysical terms in chiral extrapolation formulae, which must be removed to make physical predictions. We use mixed action…

Nuclear Theory · Physics 2007-05-23 A. Walker-Loud

We examine artifacts associated with the chiral symmetry breaking induced through the use of Wilson-Dirac fermions in lattice Monte Carlo computations. For light quark masses, the conventional quenched theory can not be defined using direct…

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

Using the pole shifting procedure of the modified quenched approximation (MQA) to cure the exceptional configuration problem, accurate hadron hadron spectrum calculations can be obtained at very light quark mass. Here we use the MQA to…

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

The chiral phase transition in QCD at finite chemical potential and temperature can be characterized for small chemical potential by its curvature and the transition temperature. The curvature is accessible to QCD lattice simulations, which…

High Energy Physics - Phenomenology · Physics 2012-07-03 Jens Braun , Bertram Klein , Bernd-Jochen Schaefer

We calculate vector-vector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the…

High Energy Physics - Lattice · Physics 2018-01-17 Johan Bijnens , Johan Relefors

We use one-loop chiral perturbation theory (ChPT) to compare lattice results for the K+ to pi+ pi0 decay amplitude with the experimental value. Three systematic effects: quenching, finite-volume effects, and the use of unphysical values of…

High Energy Physics - Lattice · Physics 2009-10-30 Maarten Golterman , Ka Chun Leung

For lattice calculations with light dynamical quarks, finite size effects have become an important aspect. We study finite size effects in nucleon masses on N_f=2 dynamical lattices of 1-2 fm. Predictions for the finite size effects are…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , T. Bakeyev , M. Göckeler , R. Horsley , A. C. Irving , D. Pleiter , P. Rakow , G. Schierholz , H. Stüben

In this talk we discuss a number of ChPT calculations relevant for lattice QCD. These include the finite volume corrections at two-loop order for masses and decay constants. The second part is about hadronic vacuum polarization where we…

High Energy Physics - Lattice · Physics 2016-11-21 Johan Bijnens , Johan Relefors

The status of lattice determinations of quark masses is reviewed (with the exception of m_b). Attempts to extract the low-energy constants in the effective chiral Lagrangian are discussed, with special emphasis on those couplings which are…

High Energy Physics - Lattice · Physics 2009-11-07 Hartmut Wittig

We calculate the electromagnetic pion form factor in lattice QCD with 2+1 flavors of the dynamical overlap quarks. Up and down quark masses are set below their physical values so that the system is in the so-called epsilon regime with the…

High Energy Physics - Lattice · Physics 2014-09-02 H. Fukaya , S. Aoki , S. Hashimoto , T. Kaneko , H. Matsufuru , J. Noaki

The leading finite-volume and thermal effects, arising in numerical lattice QCD calculations of $a^{\text{HVP,LO}}_\mu \equiv (g-2)^{\text{HVP,LO}}_\mu/2$, are determined to all orders with respect to the interactions of a generic,…

High Energy Physics - Lattice · Physics 2020-10-28 Maxwell T. Hansen , Agostino Patella

We study, in the quenched approximation, Luescher's relation between pion scattering lengths and the finite-volume energy of two pions at rest. The quenched relation is drastically different from the full theory one; in particular,…

High Energy Physics - Lattice · Physics 2009-10-28 Claude Bernard , Maarten Golterman
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