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Related papers: O(a^2) cutoff effects in Wilson fermion simulation…

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We have derived the quark mass dependence of $m_{\pi}^2$, $m_{\rm AWI}$ and $f_{\pi}$, using the chiral perturbation theory which includes the $a^2$ effect associated with the explicit chiral symmetry breaking of the Wilson-type fermions,…

High Energy Physics - Lattice · Physics 2008-11-26 Sinya Aoki

We discuss some large effects of dynamical fermions. One is a cutoff effect, others concern the contribution of multi-pion states to correlation functions and are expected to survive the continuum limit. We then turn to the preparation for…

High Energy Physics - Lattice · Physics 2010-12-13 M. Della Morte , P. Fritzsch , B. Leder , S. Takeda , O. Witzel , U. Wolff , H. Meyer , H. Simma , R. Sommer

We simulate a theory with two dynamical O($a$) improved Wilson quarks whose mass $M$ ranges from a factor eight up to a factor two below the charm quark mass and at three values of the lattice spacing ranging from 0.066 to 0.034 fm. This…

High Energy Physics - Lattice · Physics 2014-11-06 Francesco Knechtli , Andreas Athenodorou , Mattia Bruno , Jacob Finkenrath , Björn Leder , Marina Marinkovic , Rainer Sommer

We make several observations concerning the low quark mass region with Wilson fermions and how this is connected with the epsilon regime in the continuum. A transition from tiny cutoff effects to rather large discretization errors would…

High Energy Physics - Lattice · Physics 2009-02-27 Andrea Shindler

We calculate the vector meson masses in $N_{\rm f} = 2+1$ Wilson chiral perturbation theory at next-to-leading order. Generalizing the framework of heavy vector meson chiral perturbation theory, the quark mass and the lattice cutoff…

High Energy Physics - Lattice · Physics 2009-11-11 S. Aoki , O. Baer , S. Takeda

In a previous paper [1], we have discussed the non-perturbative tuning of the chirally rotated Schroedinger functional (XSF). This tuning is required to eliminate bulk O(a) cutoff effects in physical correlation functions. Using our tuning…

High Energy Physics - Lattice · Physics 2015-06-11 J. Gonzalez Lopez , K. Jansen , D. B. Renner , A. Shindler

We study the properties of pions in twisted mass lattice QCD (with two degenerate flavors) using chiral perturbation theory (ChPT). We work to next-to-leading order (NLO) in a power counting scheme in which m_q ~ a \Lambda_QCD^2, with m_q…

High Energy Physics - Lattice · Physics 2009-11-10 Stephen R. Sharpe , Jackson M. S. Wu

At stronger gauge-field couplings, the domain wall fermion (DWF) residual mass, a measure of chiral symmetry breaking, grows rapidly. This measure is largely due to near zero fermion eigenmodes of logarithm of the 4D transfer matrix along…

High Energy Physics - Lattice · Physics 2010-01-21 Dwight Renfrew , Thomas Blum , Norman Christ , Robert Mawhinney , Pavlos Vranas

We determine the phase diagram and pion spectrum for Wilson and twisted-mass fermions in the presence of non-degeneracy between the up and down quark and discretization errors, using Wilson and twisted-mass chiral perturbation theory. We…

High Energy Physics - Lattice · Physics 2014-12-03 Derek P. Horkel , Stephen R. Sharpe

It has been shown that in the twisted mass formulation of Lattice QCD at maximal twist large cutoff effects are generated when the quark mass becomes of O(a Lambda_QCD^2). In general, these effects can be suppressed in two ways: either by…

High Energy Physics - Lattice · Physics 2010-03-19 D. Becirevic , Ph. Boucaud , V. Lubicz , G. Martinelli , F. Mescia , S. Simula , C. Tarantino

We investigate the leading lattice spacing effects in mesonic two-point correlators computed with twisted mass Wilson fermions in the epsilon-regime. By generalizing the procedure already introduced for the untwisted Wilson chiral effective…

High Energy Physics - Lattice · Physics 2014-11-20 O. Bar , S. Necco , A. Shindler

We present the results on topological susceptibility and chiral observables in $N_f=2+1+1$ QCD for temperature range $120<T<600$ MeV. The lattice simulations are performed with Wilson twisted mass fermions at physical pion, strange and…

High Energy Physics - Lattice · Physics 2021-12-01 A. Yu. Kotov , M. P. Lombardo , A. Trunin

We present a lattice calculation of the vector form factor of the pion for two flavours of non-perturbatively O(a) improved Wilson fermions. For the measurements we utilise the CLS ensembles which include various lattice spacings and pion…

High Energy Physics - Lattice · Physics 2011-09-02 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

Wilson Fermions with untwisted and twisted mass are widely used in lattice simulations. Therefore one important question is whether the twist angle and the lattice spacing affect the phase diagram. We briefly report on the study of the…

High Energy Physics - Lattice · Physics 2015-04-17 M. Kieburg , K. Splittorff , J. J. M. Verbaarschot , S. Zafeiropoulos

The status of simulations using the non-perturbatively O(a) improved Wilson action in the quenched approximation is reviewed. The impact of non-perturbative improvement on the hadronic mass spectrum and the size of residual lattice…

High Energy Physics - Lattice · Physics 2009-10-30 Hartmut Wittig

We present a first scaling test of twisted mass QCD with pure Wilson quarks for a twisting angle of pi/2. We have computed the vector meson mass and the pseudoscalar decay constant for different values of beta at fixed value of r_0 m_PS.…

High Energy Physics - Lattice · Physics 2009-11-10 Karl Jansen , Andrea Shindler , Carsten Urbach , Ines Wetzorke

We show that it is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with Wilson fermions by taking arithmetic averages of correlators computed in theories regularized…

High Energy Physics - Lattice · Physics 2009-11-10 R. Frezzotti , G. C. Rossi

The presence of axions introduces new diagrams at one-loop order to the two-photon decays of the neutral pion through axion-pion mixing. In this work, we calculate this correction, missing in all current calculations, in the framework of…

High Energy Physics - Phenomenology · Physics 2025-03-17 Zhen-Yan Lu , Yang Huang , Ji-Gui Cheng , Qi Lu , Shu-Peng Wang

We continue our investigation of 2+1 flavor QCD thermodynamics using dynamical Wilson fermions in the fixed scale approach. Two additional pion masses, approximately 440 MeV and 285 MeV, are added to our previous work at 545 MeV. The…

We perform a nonperturbative tuning of the coefficients in the $O(a^2)$ improved action for staggered fermions. The mass splitting for the pions of different doubler flavor is used as a measure of the symmetry breaking effects introduced by…

High Energy Physics - Lattice · Physics 2009-03-09 Massimo Di Pierro , Paul Mackenzie