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Two-point functions related to the pion weak decay constant $f_\pi$ are calculated from the generating functional of chiral perturbation theory in the mean field approximation and the heavy-baryon limit. The aim is to demonstrate that…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Kirchbach , A. Wirzba

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,…

High Energy Physics - Lattice · Physics 2009-10-28 Rajan Gupta

We derive exact analytical expressions for the spectral density of the Dirac operator at fixed \theta-angle in the microscopic domain of one-flavor QCD. These results are obtained by performing the sum over topological sectors using novel…

High Energy Physics - Theory · Physics 2014-12-24 J. J. M. Verbaarschot , T. Wettig

Chiral properties of QCD formulated with the domain-wall fermion (DWQCD) are studied using the anomalous quark mass m_{5q} and the spectrum of the 4-dimensional Wilson-Dirac operator. Numerical simulations are made with the standard…

We complement recent advances in the calculation of the masses of excited baryons in quenched lattice QCD with finite-range regulated chiral effective field theory enabling contact with the physical quark mass region. We examine the P-wave…

Nuclear Theory · Physics 2007-05-23 D. Morel , B. Crouch , D. B. Leinweber , A. W. Thomas

Lattice QCD with staggered quarks is augmented by the addition of a chiral 4-fermion interaction. The Dirac operator is now non-singular at $m_q=0$, decreasing the computing requirements for light quark simulations by at least an order of…

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , D. K. Sinclair

QCD thermodynamics is considered using Wilson fermions in the fixed scale approach. The temperature dependence of the renormalized chiral condensate, quark number susceptibility and Polyakov loop is measured at four lattice spacings…

High Energy Physics - Lattice · Physics 2015-06-05 S. Borsanyi , S. Durr , Z. Fodor , C. Hoelbling , S. D. Katz , S. Krieg , D. Nogradi , B. C. Toth , N. Trombitas , K. K. Szabo

We study properties of the thermal transition in QCD, using anisotropic, fixed-scale lattice simulations with $N_f = 2+1$ flavours of Wilson fermion. Observables are compared for two values of the pion mass, focusing on chiral properties.…

High Energy Physics - Lattice · Physics 2020-07-09 G. Aarts , C. Allton , J. Glesaaen , S. Hands , B. Jäger , S. Kim , M. P. Lombardo , A. A. Nikolaev , S. M. Ryan , J. -I. Skullerud , L. -K. Wu

We point out that the chiral Lagrangian describing pseudo-Goldstone bosons in partially quenched QCD has one more four-derivative operator than that for unquenched QCD with three flavors. The new operator can be chosen to vanish in the…

High Energy Physics - Lattice · Physics 2009-11-10 Stephen R. Sharpe , Ruth S. Van de Water

We construct a 4-d lattice Dirac operator D using a systematical expansion in terms of simple operators on the lattice. The Ginsparg-Wilson equation turns into a system of coupled equations for the expansion coefficients of D. We solve…

High Energy Physics - Lattice · Physics 2010-04-06 Christof Gattringer , Ivan Hip , C. B. Lang

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

In this second report on our recent numerical simulations of two-flavour QCD, we provide further technical details on the simulations and describe the methods we used to extract the meson masses and decay constants from the generated…

High Energy Physics - Lattice · Physics 2010-10-27 L. Del Debbio , L. Giusti , M. Lüscher , R. Petronzio , N. Tantalo

We study the topological susceptibility, chi, in QCD with two quark flavours using the lattice field configurations recently produced by the UKQCD collaboration. We find clear evidence for the expected suppression at small quark mass, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 UKQCD Collaboration , A. Hart , M. Teper

We present studies of universal properties of the chiral phase transition in $N_f$=2+1 QCD based on the simulations using Highly Improved Staggered fermions on lattices with temporal extent $N_\tau$=6. We analyze the quark mass and volume…

High Energy Physics - Lattice · Physics 2013-12-03 H. -T. Ding , A. Bazavov , F. Karsch , Y. Maezawa , Swagato Mukherjee , P. Petreczky

QCD is investigated at finite temperature using Wilson fermions in the fixed scale approach. A 2+1 flavor stout and clover improved action is used at four lattice spacings allowing for control over discretization errors. The light quark…

We compute finite volume effects relevant for lattice QCD simulations using background fields. Focusing on constant electric and magnetic fields on a periodic lattice, we determine volume corrections to pion two-point functions using chiral…

High Energy Physics - Lattice · Physics 2009-05-18 Brian C. Tiburzi

We derive the effective action of the light fermion field of the domain-wall fermion, which is referred as q(x) and \bar q(x) by Furman and Shamir. The inverse of the effective Dirac operator turns out to be identical to the inverse of the…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa

We present a non-perturbative calculation for the pion decay constant with quenched Kogut-Susskind quarks. Numerical simulations are carried out at $\beta = 6.0$ and 6.2 with various operators extending over all flavors. The renormalization…

In continuum QCD, nontrivial gauge topologies give rise to zero eigenvalues of the massless Dirac operator. In lattice QCD with Wilson fermions, these zero modes appear as exactly real eigenvalues of the Wilson-Dirac operator and hence as…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , G. Hockney , H. Thacker

Lattice formulations of QCD with Wilson fermions and a chirally twisted quark mass matrix provide an attractive framework for non-perturbative numerical studies. Owing to reparameterization invariance, the limiting continuum theory is just…

High Energy Physics - Lattice · Physics 2009-11-07 R. Frezzotti
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