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Related papers: The shape of the static potential with dynamical f…

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We study two colors lattice QCD (QC$_2$D) with two flavors of staggered fermions on $40^4$ and $32^4$ lattices with lattice spacing $a =0.048$~fm in the wide range of the quark chemical potential $\mu_q$. Our focus is on the…

High Energy Physics - Lattice · Physics 2022-06-29 A. Begun , V. G. Bornyakov , V. A. Goy , A. Nakamura , R. N. Rogalyov

We present a first numerical study of lattice QCD with O(a) improved Wilson quarks and a chirally twisted mass term. Renormalized correlation functions are derived from the Schroedinger functional and evaluated in an intermediate space-time…

High Energy Physics - Lattice · Physics 2010-02-03 M. Della Morte , R. Frezzotti , J. Heitger , S. Sint

It is shown how on-shell O(a) improvement can be implemented non-perturbatively in lattice QCD with Wilson quarks. Improvement conditions are obtained by requiring the PCAC relation to hold exactly in certain matrix elements. These are…

High Energy Physics - Lattice · Physics 2009-10-28 M. Lüscher , S. Sint , R. Sommer , P. Weisz , H. Wittig , U. Wolff

We measure accurate values of the inter-quark potentials on a $48^{3}56$ lattice with SU(2) pure gauge theory at $ \beta =2.85$. The scale is set by extracting the string tension - we obtain ${\sqrt K}a=0.063(3)$ at $\beta =2.85.$ From a…

High Energy Physics - Lattice · Physics 2011-02-19 The UKQCD Collaboration , S. P. Booth , A. Hulsebos , A. C. Irving , A. McKerrell , C. Michael , P. S. Spencer , P. W. Stephenson

Using the Polyakov string ansatz for the rectangular Wilson loop we calculate the static potential in the semiclassical approximation. Our results lead to a well defined sum over surfaces in the range $1<d<25$.

High Energy Physics - Theory · Physics 2010-11-01 Zbigniew Jaskolski , Krzysztof A. Meissner

Recently a method to compute the static force with lattice gauge theory using an insertion of a chromoelectric field into a Wilson loop was proposed. We explore this method using the multilevel algorithm and discuss the renormalization of…

High Energy Physics - Lattice · Physics 2021-11-16 Viljami Leino , Nora Brambilla , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner

We study QCD with two flavors of dynamical Wilson fermions at $\beta = 5.5$ and three values of $\kappa$. The corresponding pion masses are 0.375, 0.324 and 0.262 in lattice units, with pion to rho mass ratios of 0.76, 0.71 and 0.62,…

High Energy Physics - Lattice · Physics 2009-10-28 K. M. Bitar , R. G. Edwards , U. M. Heller , A. D. Kennedy

The isospin, spin and parity dependent potential of a pair of static-light mesons is computed using Wilson twisted mass lattice QCD with two flavors of degenerate dynamical quarks. From the results a simple rule can be deduced stating,…

High Energy Physics - Lattice · Physics 2011-01-27 Marc Wagner

We study possibilities to define a static quark anti-quark pair in a colour-adjoint orientation based on Wilson loops with generator insertions, using both lattice QCD and leading order perturbation theory in various gauges.…

High Energy Physics - Lattice · Physics 2014-01-29 Owe Philipsen , Marc Wagner

Using techniques from hopping expansion we identically map the lattice Schwinger model with Wilson fermions to a model of oriented loops on the lattice. This is done by first computing the explicit form of the fermion determinant in the…

High Energy Physics - Lattice · Physics 2009-10-31 Christof Gattringer

The static potential $V(r)$ between a static quark and a static antiquark separated by a distance r is defined as the energy of the ground state of the system. As a consequence of confinement, the energy between the quark-antiquark pair is…

High Energy Physics - Lattice · Physics 2018-11-26 Vanessa Koch , John Bulava , Ben Hörz , Francesco Knechtli , Graham Moir , Colin Morningstar , Mike Peardon

We present a determination of the QCD parameter Lambda in the quenched approximation (n_f=0) and for two flavours (n_f=2) of light dynamical quarks. The calculations are performed on the lattice using O(a) improved Wilson fermions and…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Göckeler , R. Horsley , A. C. Irving , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stüben

We investigate the relativistic corrections to the static potential, i.e. the O(1/m) potential and the O(1/m^2) velocity-dependent potentials, in SU(3) lattice gauge theory. They are important ingredients of potential nonrelativistic QCD…

High Energy Physics - Lattice · Physics 2008-11-26 Yoshiaki Koma , Miho Koma , Hartmut Wittig

The phase structure of lattice QCD with two flavors and Wilson fermions is studied analytically. At $\beta=0$ we obtain rigorous lower and upper bounds for the critical hopping parameter $k_c(0)$ from a convergent hopping parameter…

High Energy Physics - Lattice · Physics 2009-09-25 A. Galli

We determine the scales $r_0$, $r_1$, the ratio $r_0/r_1$ for $N_f$ = 2 + 1 flavor QCD ensembles generated by CLS. These scales are determined from an improved definition of the static force, which we measure using Wilson loops and…

High Energy Physics - Lattice · Physics 2023-12-25 Tom Matty Bo Asmussen , Roman Höllwieser , Francesco Knechtli , Tomasz Korzec

We non-perturbatively determine the renormalization factor of the axial vector current in lattice QCD with $N_f=3$ flavors of Wilson-clover fermions and the tree-level Symanzik-improved gauge action. The (by now standard) renormalization…

High Energy Physics - Lattice · Physics 2016-06-29 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

We present new results from our ongoing study of the SU(3) sextet model with two flavors in the two-index symmetric representation of the gauge group. In the simulations use unimproved Wilson fermions to investigate the infrared properties…

High Energy Physics - Lattice · Physics 2017-09-13 Martin Hansen , Claudio Pica

An approach to studying lattice gauge models in the weak coupling region is proposed. Conceptually, it is based on the crucial role of the original Z(N) symmetry and the invariant gauge group measure. As an example, we calculate an…

High Energy Physics - Lattice · Physics 2007-05-23 O. A. Borisenko , V. K. Petrov , G. M. Zinovjev , J. Boháčik

By employing a twisted mass term, we compare recent results from lattice calculations of Nf=2 dynamical Wilson fermions with Wilson Chiral Perturbation Theory (WChPT). The final goal is to determine some combinations of Gasser-Leutwyler Low…

High Energy Physics - Lattice · Physics 2010-12-23 L. Scorzato , F. Farchioni , P. Hofmann , K. Jansen , I. Montvay , G. Munster , M. Papinutto , E. E. Scholz , A. Shindler , N. Ukita , C. Urbach , U. Wenger , I. Wetzorke

We determine the parameter c_SW required for O(a)-improvement of the three flavor Wilson fermion action together with the tree-level Symanzik improved gauge action. The standard improvement condition is employed for a range of couplings.…

High Energy Physics - Lattice · Physics 2015-06-15 John Bulava , Stefan Schaefer