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Related papers: Automatic O$(a)$ improvement for twisted-mass QCD

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We non-perturbatively calculate the renormalization factor of the static axial vector current in O(a) improved quenched lattice QCD. Its scale dependence is mapped out in the Schroedinger functional scheme by means of a recursive…

High Energy Physics - Lattice · Physics 2009-11-07 Jochen Heitger , Martin Kurth , Rainer Sommer

We have investigated QCD with two flavors of degenerate fermions using a Symanzik-improved lattice action for both the gauge and fermion actions. Our study focuses on the deconfinement transition on an $N_t=4$ lattice. Having located the…

We present the results of an extended scaling test of quenched Wilson twisted mass QCD. We fix the twist angle by using two definitions of the critical mass, the first obtained by requiring the vanishing of the pseudoscalar meson mass m_PS…

High Energy Physics - Lattice · Physics 2007-05-23 K. Jansen , M. Papinutto , A. Shindler , C. Urbach , I. Wetzorke

The effective theory describing infinite mass particles with a given velocity, has a great interest in heavy flavor physics. It has the unpleasant characteristic that the energy spectrum is unbounded from below; this fact is the source of…

High Energy Physics - Phenomenology · Physics 2010-11-01 Ugo Aglietti

We report on a study of QCD thermodynamics with three flavors of quarks, using a Symanzik improved gauge action and the Asqtad O(a^2) improved staggered quark action. Simulations were carried out with lattice spacings 1/4T, 1/6T and 1/8T…

High Energy Physics - Lattice · Physics 2008-11-26 The MILC Collaboration , C. Bernard , T. Burch , C. DeTar , Steven Gottlieb , E. B. Gregory , U. M. Heller , J. Osborn , R. Sugar , D. Toussaint

We investigate Wilson twisted mass fermions in the quenched approximation using different definitions of the critical bare quark mass m_c to realize maximal twist and, correspondingly, automatic O(a) improvement for physical observables. A…

High Energy Physics - Lattice · Physics 2020-06-17 K. Jansen , M. Papinutto , A. Shindler , C. Urbach , I. Wetzorke

In order to support the formal renormalization group arguments that the fixed point action of an asymptotically free model gives cut--off independent physical predictions in 1--loop perturbation theory, we calculate the finite volume…

High Energy Physics - Lattice · Physics 2009-10-28 F. Farchioni , P. Hasenfratz , F. Niedermayer , A. Papa

Discretization artifacts proportional to the quark mass can limit the precision of strong-coupling determinations in lattice QCD, especially in the presence of heavy quarks. In this work, we perform a lattice perturbative analysis of such…

High Energy Physics - Lattice · Physics 2026-03-03 Marios Costa , Demetrianos Gavriel , Haralambos Panagopoulos , Gregoris Spanoudes

We present some aspects of high precision calculations in the context of Lattice Quantum Field Theory. This work is a collection of three studies done during my Ph.D. period. First we present how to use the reweighting technique to…

High Energy Physics - Lattice · Physics 2017-10-04 Andrea Bussone

We give an explicit description of the full asymptotic expansion of the Schwartz kernel of the complex powers of $m$-Laplace type operators $L$ on compact Riemannian manifolds in terms of Riesz distributions. The constant term in this…

Differential Geometry · Mathematics 2022-01-19 Matthias Ludewig

The eigenvalue spectrum $\rho(\lambda)$ of the Dirac operator is numerically calculated in lattice QCD with 2+1 flavors of dynamical domain-wall fermions. In the high-energy regime, the discretization effects become significant. We subtract…

High Energy Physics - Lattice · Physics 2018-07-11 Katsumasa Nakayama , Hidenori Fukaya , Shoji Hashimoto

In this work we calculate the corrections to the amputated Green's functions of 4-fermion operators, in 1-loop Lattice Perturbation theory. One of the novel aspects of our calculations is that they are carried out to O(a^2) (a: lattice…

We show how the presence of inversion symmetry in a one-dimensional (1D) lattice model is not a sufficient condition for a quantized Zak's phase. This is only the case when the inversion axis is at the center of the unit cell. When the…

Mesoscale and Nanoscale Physics · Physics 2017-07-20 A. M. Marques , R. G. Dias

We construct a solution to the equation of motion of Hamiltonian lattice QCD in the strong coupling limit using Wilson fermions which exactly diagonalizes the Hamiltonian to second order in the field operators. This solution obeys the free…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yasuo Umino

We report on an investigation of the LANL method for determining the O(a) improvement coefficient c_A nonperturbatively. We find we are able to extract reliable estimates for the coefficient using this method. However, our study of…

High Energy Physics - Lattice · Physics 2008-11-26 S. Collins , C. T. H. Davies , G. P. Lepage , J. Shigemitsu

A vanishing Yukawa coupling of the up quark could in principle solve the strong CP problem. To render this solution consistent with current algebra results, the up quark must receive an alternative mass contribution that conserves CP…

High Energy Physics - Lattice · Physics 2021-12-02 Constantia Alexandrou , Jacob Finkenrath , Lena Funcke , Karl Jansen , Bartosz Kostrzewa , Ferenc Pittler , Carsten Urbach

In lattice Hamiltonian systems with a quartic coupling $\gamma$, a critical value $\gamma^*$ may exist such that, when $\gamma=\gamma^*$, the leading irrelevant operator decouples from the Hamiltonian and the leading nonscaling contribution…

Statistical Mechanics · Physics 2009-11-07 Massimo Campostrini , Pietro Parruccini , Paolo Rossi

We propose a lattice counterpart of diffeomorphism symmetry in the continuum. A functional integral for quantum gravity is regularized on a discrete set of space-time points, with fermionic or bosonic lattice fields. When the space-time…

High Energy Physics - Lattice · Physics 2013-05-30 C. Wetterich

The use of Heavy Quark Effective Theory (HQET) on the lattice as an approach to B-physics phenomenology is based on a non-perturbative matching of HQET to QCD in finite volume. As a first step to apply the underlying strategy in the…

High Energy Physics - Lattice · Physics 2018-11-08 Patrick Fritzsch , Jochen Heitger , Simon Kuberski

It is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with standard and twisted Wilson fermions by taking arithmetic averages of correlators computed in theories…

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