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Related papers: Higher representations on the lattice: perturbativ…

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Using unimproved and non-perturbatively O(a) improved Wilson fermions, results are given for the three lowest moments of unpolarised nucleon structure functions. Renormalisation, chiral extrapolation and the continuum limit of the matrix…

High Energy Physics - Lattice · Physics 2008-11-26 S. Capitani , M. Gockeler , R. Horsley , D. Pleiter , P. Rakow , H. Stuben , G. Schierholz

We compare overlap fermions, which are chirally invariant, and Wilson twisted mass fermions in the approach to the chiral limit. Our quenched simulations reveal that with both formulations of lattice fermions pion masses of O(250 MeV) can…

In this paper we propose to interpret the large discretization artifacts affecting the neutral pion mass in maximally twisted lattice QCD simulations as O(a^2) effects whose magnitude is roughly proportional to the modulus square of the…

High Energy Physics - Lattice · Physics 2010-04-30 P. Dimopoulos , R. Frezzotti , C. Michael , G. C. Rossi , C. Urbach

Models of Dynamical Electroweak Symmetry Breaking are expected to display a quasi-conformal scaling behaviour in order to accommodate experimental constraints. The scaling properties of a theory can be studied using finite volume…

High Energy Physics - Lattice · Physics 2012-11-05 Stefan Sint , Pol Vilaseca

I conjecture on the phase structure expected for lattice gauge theory with two flavors of Wilson fermions, concentrating on large values of the hopping parameter. Numerous phases are expected, including the conventional confinement and…

High Energy Physics - Lattice · Physics 2008-02-03 Michael Creutz

We study lattice formulations of the two-dimensional N=2 Wess-Zumino model with a cubic superpotential. Discretizations with and without lattice supersymmetries are compared. We observe that the "Nicolai improvement" introduces new problems…

High Energy Physics - Lattice · Physics 2010-01-21 Christian Wozar , Georg Bergner , Tobias Kaestner , Sebastian Uhlmann , Andreas Wipf

The $(1+1)$-dimensional two-color lattice QCD is studied with the Grassmann tensor renormalization group. We construct tensor network representations of theories with the staggered fermion and the Wilson fermion and show that Grassmann…

High Energy Physics - Lattice · Physics 2025-02-03 Kwok Ho Pai , Shinichiro Akiyama , Synge Todo

Thermodynamics in the strong coupling limit of lattice QCD has features which may be similar to those of continuum QCD, such as a chiral critical end point and a nuclear liquid gas transition. Here I compare the combinatorics of staggered…

High Energy Physics - Lattice · Physics 2014-11-18 Wolfgang Unger

We derive a general formula of the tensor network representation for $d$-dimensional lattice fermions with ultra-local interactions, including Wilson fermions, staggered fermions, and domain-wall fermions. The Grassmann tensor is concretely…

High Energy Physics - Lattice · Physics 2021-10-26 Shinichiro Akiyama , Daisuke Kadoh

We consider spectral quantities in lattice QCD and determine the asymptotic behavior of their discretization errors. Wilson fermion with O$(a)$-improvement, (M\"obius) Domain wall fermion (DWF), and overlap Dirac operators are considered in…

High Energy Physics - Lattice · Physics 2024-10-18 Nikolai Husung , Peter Marquard , Rainer Sommer

We address a long standing problem regarding topology in lattice simulations of QCD with unimproved Wilson fermions. Earlier attempt with unimproved Wilson fermions at \beta =5.6 to verify the suppression of topological susceptibility with…

High Energy Physics - Lattice · Physics 2015-05-30 Abhishek Chowdhury , Asit K. De , Sangita De Sarkar , A. Harindranath , Santanu Mondal , Anwesa Sarkar , Jyotirmoy Maiti

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass, leaving only errors of $O(a^2)$. The method exploits the…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

We present the current status of our computation of quark bilinear renormalization constants for Wilson fermions and Symanzik improved gauge action. Computations are performed in Numerical Stochastic Perturbation Theory. Volumes range from…

High Energy Physics - Lattice · Physics 2010-02-03 M. Brambilla , F. Di Renzo , L. Scorzato

We compute the lattice spacing corrections to the spectral density of the Hermitean Wilson Dirac operator using Wilson Chiral Perturbation Theory at NLO. We consider a regime where the quark mass $m$ and the lattice spacing $a$ obey the…

High Energy Physics - Lattice · Physics 2015-05-27 S. Necco , A. Shindler

We present the computation of invariants that arise in the strong coupling expansion of lattice QCD. These invariants are needed for Monte Carlo simulations of Lattice QCD with staggered fermions in a dual, color singlet representation.…

High Energy Physics - Lattice · Physics 2018-04-18 Giuseppe Gagliardi , Jangho Kim , Wolfgang Unger

We systematically examine various proposals which aim at increasing the accuracy in the determination of the renormalization of two-fermion lattice operators. We concentrate on three finite quantities which are particularly suitable for our…

High Energy Physics - Lattice · Physics 2011-09-13 M. Crisafulli , V. Lubicz , A. Vladikas

The consideration of quantum fields defined on a spacetime lattice provides computational techniques which are invaluable for studying gauge theories nonperturbatively from first principles. Perturbation theory is an essential aspect of…

High Energy Physics - Lattice · Physics 2009-11-07 Stefano Capitani

We present our final results for the SU(3) sextet model with the non-improved Wilson fermion discretization. We find evidence for several phases of the lattice model, including a bulk phase with broken chiral symmetry. We study the…

High Energy Physics - Lattice · Physics 2018-04-18 Martin Hansen , Claudio Pica

The phase diagram for the compact lattice QED with Wilson fermions is shown. We discuss different methods for the calculation of the 'pion' mass $m_{\pi}$ near the chiral transition point $\kappa_c(\beta )$.

High Energy Physics - Lattice · Physics 2009-10-28 A. Hoferichter , V. K. Mitrjushkin , M. Müller-Preussker

We describe an algebraic algorithm which allows to express every one-loop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although…

High Energy Physics - Lattice · Physics 2009-10-28 Giuseppe Burgio , Sergio Caracciolo , Andrea Pelissetto
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