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The majority of compute time doing lattice QCD is spent inverting the fermion matrix. The time that this takes increases with the condition number of the matrix. The FLIC(Fat Link Irrelevant Clover) action displays, among other properties,…

高能物理 - 格点 · 物理学 2015-06-25 Waseem Kamleh

We give a full account of the Numerical Stochastic Perturbation Theory method for Lattice Gauge Theories. Particular relevance is given to the inclusion of dynamical fermions, which turns out to be surprisingly cheap in this context. We…

高能物理 - 格点 · 物理学 2008-11-26 F. Di Renzo , L. Scorzato

We perform a pilot study of the perturbative renormalization of a Supersymmetric gauge theory with matter fields on the lattice. As a specific example, we consider Supersymmetric ${\cal N}{=}1$ QCD (SQCD). We study the self-energies of all…

高能物理 - 格点 · 物理学 2018-04-18 Marios Costa , Haralambos Panagopoulos

We report on our Ward identity determination of the $\mathrm{O}(a)$ improvement coefficient for the flavour singlet scalar density, namely $g_\mathrm{S}$, from three-flavour lattice QCD with Wilson-clover fermions and the tree-level…

高能物理 - 格点 · 物理学 2025-02-14 Pia Leonie Jones Petrak , Jochen Heitger , Fabian Joswig

We study the strongly coupled 2-flavor lattice Schwinger model and the SU(2)-color QCD_2. The strong coupling limit, even with its inherent nonuniversality, makes accurate predictions of the spectrum of the continuum models and provides an…

高能物理 - 格点 · 物理学 2015-06-25 F. Berruto , E. Coletti , G. Grignani , P. Sodano

Simulating lattice gauge theories on quantum computers presents unique challenges that drive the development of novel theoretical frameworks. The orbifold lattice approach offers a scalable method for simulating SU($N$) gauge theories in…

高能物理 - 格点 · 物理学 2026-04-07 Emanuele Mendicelli , Georg Bergner , Masanori Hanada

We compute the Schroedinger functional (SF) for the case of lattice QCD with Wilson fermions (with and without SW improvement) at two-loop order in lattice perturbation theory. This allows us to extract the three-loop beta-function in the…

高能物理 - 格点 · 物理学 2008-11-26 Achim Bode , Peter Weisz , Ulli Wolff

We present the expansion of stout smearing and the Wilson flow in lattice perturbation theory to order $g_0^3$, which is suitable for one-loop calculations. As the Wilson flow is generated by infinitesimal stout smearing steps, the results…

高能物理 - 格点 · 物理学 2024-10-28 Maximilian Ammer , Stephan Durr

Numerical evaluation of the overlap Dirac operator is difficult since it contains the sign function $\epsilon(H_w)$ of the Hermitian Wilson-Dirac operator $H_w$ with a negative mass term. The problems are due to $H_w$ having very small…

高能物理 - 格点 · 物理学 2016-09-01 W. Kamleh , D. Adams , D. B. Leinweber , A. G. Williams

Many observables of interest in lattice QCD are extracted from correlation functions involving the vector current. If Wilson fermions are used, it is therefore of practical importance that, besides the action, the current be O($a$) improved…

高能物理 - 格点 · 物理学 2015-12-16 Tim Harris , Harvey B. Meyer

We have carried out a Schrodinger functional (SF) calculation for the SU(3) lattice gauge theory with two flavors of Wilson fermions in the sextet representation of the gauge group. We find that the discrete beta function, which governs the…

高能物理 - 格点 · 物理学 2008-11-26 Yigal Shamir , Benjamin Svetitsky , Thomas DeGrand

The chiral properties of the fat-link irrelevant clover (FLIC) fermion action are examined. The improved chiral properties of fermion actions incorporating smoothed links are realized in the FLIC action where only the irrelevant operators…

高能物理 - 格点 · 物理学 2010-03-04 Sharada Boinepalli , Waseem Kamleh , Derek B. Leinweber , Anthony G. Williams , James M. Zanotti

We perform a study the quark-gluon vertex function with a quenched Wilson gauge action and a variety of fermion actions. These include the domain wall fermion action (with exponentially accurate chiral symmetry) and the Wilson clover action…

高能物理 - 格点 · 物理学 2009-11-11 Huey-Wen Lin

We describe a way to optimize the chiral behavior of Wilson-type lattice fermion actions by studying the low energy real eigenmodes of the Dirac operator. We find a candidate action, the clover action with fat links with a tuned clover…

高能物理 - 格点 · 物理学 2009-10-31 Thomas DeGrand , Anna Hasenfratz , Tamas G. Kovacs

We calculate, to 3 loops in perturbation theory, the bare $\beta$-function of QCD, formulated on the lattice with the clover fermionic action. The dependence of our result on the number of colors $N$, the number of fermionic flavors $N_f$,…

高能物理 - 格点 · 物理学 2009-11-07 A. Bode , H. Panagopoulos

Far-from-equilibrium dynamics of SU(2) gauge theory with Wilson fermions is studied in 1+1 space-time dimensions using a real-time lattice approach. Lattice improved Hamiltonians are shown to be very efficient in simulating Schwinger pair…

高能物理 - 唯象学 · 物理学 2019-03-05 D. Spitz , J. Berges

Quantum simulators have the exciting prospect of giving access to real-time dynamics of lattice gauge theories, in particular in regimes that are difficult to compute on classical computers. Future progress towards scalable quantum…

量子气体 · 物理学 2018-08-21 T. V. Zache , F. Hebenstreit , F. Jendrzejewski , M. K. Oberthaler , J. Berges , P. Hauke

We study the contributions Sigma_0 and Sigma_1, proportional to a^0 and a^1, to the fermion self-energy in Wilson's formulation of lattice QCD with UV-filtering in the fermion action. We derive results for m_{crit} and the renormalization…

高能物理 - 格点 · 物理学 2009-11-11 Stefano Capitani , Stephan Durr , Christian Hoelbling

We discuss the renormalization of different definitions of quark masses in the Wilson and the tree-level improved SW-Clover fermionic action. For the improved case we give the correct relationship between the quark mass and the hopping…

高能物理 - 格点 · 物理学 2009-10-31 V. Gimenez , L. Giusti , F. Rapuano , M. Talevi

We derive chiral Ward identities for lattice QCD with Wilson quarks and $N_\mathrm{f} \geq 3$ flavours, on small lattices with Schr\"odinger functional boundary conditions and vanishingly small quark masses. These identities relate the…

高能物理 - 格点 · 物理学 2021-08-10 Jochen Heitger , Fabian Joswig , Anastassios Vladikas