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We study the Schr\"odinger functional coupling for lattice Yang-Mills theory coupled to an improved bosonic spinor field, which corresponds to QCD with minus two light flavors. This theory serves as a less costly testcase than QCD for the…

High Energy Physics - Lattice · Physics 2009-11-07 Bernd Gehrmann , Stefan Kurth , Juri Rolf , Ulli Wolff

The scaling of the Schr"odinger functional coupling is studied numerically and perturbatively for an SU(3) lattice gauge field coupled to an O(a) improved bosonic spinor field. This corresponds to QCD with minus two light flavours and is…

High Energy Physics - Lattice · Physics 2015-06-25 Bernd Gehrmann , Juri Rolf , Stefan Kurth , Ulli Wolff

A non-perturbative finite-size scaling technique is used to study the evolution of the running coupling (in a certain adapted scheme) in the SU(3) Yang-Mills theory. At low energies contact is made with the fundamental dynamical scales,…

High Energy Physics - Lattice · Physics 2009-10-22 Martin Luescher , Rainer Sommer , Peter Weisz , Ulli Wolff

We perform a lattice calculation of the Schr\"odinger functional running coupling in SU(2) Yang-Mills theory with six massless Wilson fermions in the fundamental representation. The aim of this work is to determine whether the above theory…

High Energy Physics - Lattice · Physics 2013-01-18 Gennady Voronov

We present a measurement of the running coupling in SU(2) with two adjoint fermions in the Yang-Mills gradient flow scheme. The simulations are performed with Schr\"odinger Functional boundary conditions using an improved HEX-smeared Wilson…

High Energy Physics - Lattice · Physics 2013-11-18 Jarno Rantaharju

As a computationally less costly test case for full QCD, we investigate an SU(3) Yang-Mills theory coupled to a bosonic spinor field. This theory corresponds to QCD with minus two quark flavors and is known as the bermion model. Our central…

High Energy Physics - Lattice · Physics 2007-05-23 Bernd Gehrmann

Lattice simulations of Yang-Mills theories coupled with $N_f$ flavours of fermions in the adjoint representation provide a way to probe the non-perturbative regime of a plethora of different physical scenarios, such as Supersymmetric…

High Energy Physics - Lattice · Physics 2022-12-06 P. Butti , M. García Pérez , A. González-Arroyo , K. I. Ishikawa

We have calculated the step scaling function and the running coupling of QCD in the Schroedinger functional scheme with four flavors of O(a) improved Wilson quarks. Comparisons of our non-perturbative results with 2-loop and 3-loop…

High Energy Physics - Lattice · Physics 2014-11-21 Fatih Tekin , Rainer Sommer , Ulli Wolff

The Schrodinger functional is used to define a renormalised coupling for pure SU(4) Yang-Mills theory, with Wilson action and suitably selected boundary conditions on the link field. The coupling, which runs with the size of the lattice, is…

High Energy Physics - Lattice · Physics 2008-11-26 Biagio Lucini , Gregory Moraitis

The weak coupling expansion is applied to the single flavour Schwinger model with Wilson fermions on a symmetric toroidal lattice of finite extent. We develop a new analytic method which permits the expression of the partition function as a…

High Energy Physics - Lattice · Physics 2007-05-23 R. Kenna , C. Pinto , J. C. Sexton

We present a measurement of the Schr\"odinger Functional running coupling in SU(2) lattice gauge theory with adjoint fermions. We use HEX smearing and clover improvement to reduce the discretization effects. We obtain a robust continuum…

High Energy Physics - Lattice · Physics 2017-08-23 Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We have measured the running coupling constant of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions, using the Schrodinger functional scheme. Our lattice action is defined with hypercubic smeared links which,…

High Energy Physics - Lattice · Physics 2014-11-21 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We report about our ongoing computation of running coupling constants in asymptotically free theories using the recursive finite size scaling technique. The latest results for the SU(3) Yang-Mills theory are presented.

High Energy Physics - Lattice · Physics 2009-10-22 Ulli Wolff

We report on the latest results on the running coupling of two flavour QCD in the Schr\"odinger functional scheme. Results for the step scaling function are obtained from simulations on lattices $L/a=8$ and $L/a=16$ which confirm the first…

High Energy Physics - Lattice · Physics 2009-11-07 M. Della Morte , R. Frezzotti , J. Heitger , F. Knechtli , J. Rolf , R. Sommer , U. Wolff

Commutative Yang-Mills theories in 1+1 dimensions exhibit an interesting interplay between geometrical properties and U(N) gauge structures: in the exact expression of a Wilson loop with $n$ windings a non trivial scaling intertwines $n$…

High Energy Physics - Theory · Physics 2009-11-07 A. Bassetto , G. Nardelli , A. Torrielli

We report on the non-perturbative computation of the running coupling of two-flavour QCD in the Schr"odinger functional scheme. The corresponding Lambda-parameter, which describes the coupling strength at high energy, is related to a low…

We study four dimensional $SU(2)$ Yang-Mills theory with two massless adjoint Weyl fermions. When compactified on a spatial circle of size $L$ much smaller than the strong-coupling scale, this theory can be solved by weak-coupling…

High Energy Physics - Theory · Physics 2018-09-12 Mohamed M. Anber , Erich Poppitz

We compute the two loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional for the case of pure SU(2) gauge theory. This result is needed as one computational…

High Energy Physics - Lattice · Physics 2016-08-31 Rajamani Narayanan , Ulli Wolff

We present an evaluation of the running coupling constant for Nf=2+1 QCD. The Schroedinger functional scheme is used as the intermediate scheme to carry out non-perturbative running from the low energy region, where physical scale is…

High Energy Physics - Lattice · Physics 2010-04-30 S. Aoki , K. I. Ishikawa , N. Ishizuka , T. Izubuchi , D. Kadoh , K. Kanaya , Y. Kuramashi , K. Murano , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshié

Recently several lattice collaborations have studied the scale dependence of the coupling in theories with different gauge groups and fermion representations using the Schr\"odinger functional method. This has motivated us to look at the…

High Energy Physics - Lattice · Physics 2012-10-02 Tuomas Karavirta , Kari Rummukainen , Kimmo Tuominen
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