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We present a perturbative calculation of the improvement coefficients of SU(2) gauge theory with adjoint representation Wilson-clover fermions and using Schrodinger functional boundary conditions. The computation of the boundary improvement…

High Energy Physics - Lattice · Physics 2011-05-10 Tuomas Karavirta , Anne-Mari Mykkanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We simulate SU(2) gauge theory with two massless Dirac fermions in the adjoint representation. We calculate the running of the Schroedinger Functional coupling and the renormalised quark mass over a wide range of length scales. The running…

High Energy Physics - Phenomenology · Physics 2010-11-05 Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup

We develop a methodology based on out-of-equilibrium simulations to mitigate topological freezing when approaching the continuum limit of lattice gauge theories. We reduce the autocorrelation of the topological charge employing open…

We calculate the step scaling function, the lattice analog of the renormalization group $\beta$-function, for an SU(3) gauge theory with twelve flavors. The gauge coupling of this system runs very slowly, which is reflected in a small step…

High Energy Physics - Lattice · Physics 2019-12-25 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

The gradient flow renormalized coupling offers a simple and relatively inexpensive way to calculate the step scaling function and the lattice scale, but both applications can be hindered by large lattice artifacts. Recently we introduced an…

High Energy Physics - Lattice · Physics 2015-02-02 Anna Hasenfratz

We report on an ongoing study of the running coupling of SU(N) pure Yang-Mills theory in the twisted gradient flow scheme (TGF). The study exploits the idea that twisted boundary conditions reduce finite volume effects, leading to an…

High Energy Physics - Lattice · Physics 2021-11-29 Jorge Luis Dasilva Golan , Margarita Garcia Perez , Alberto Ramos

SU(2) gauge theory with Nf=24 massless fermions is non-interacting at long distances, i.e. it has an infrared fixed point at vanishing coupling. With massive fermions the fermions are expected to decouple at energy scales below the fermion…

High Energy Physics - Lattice · Physics 2022-09-26 Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

Incorporated with twisted boundary condition, Polyakov loop correlators can give a definition of the renormalized coupling. We employ this scheme for the step scaling method (with step size s = 2) in the search of conformal fixed point of…

We present a new lattice study of the discrete beta function for SU(3) gauge theory with Nf=8 massless flavors of fermions in the fundamental representation. Using the gradient flow running coupling, and comparing two different nHYP-smeared…

High Energy Physics - Lattice · Physics 2015-06-30 Anna Hasenfratz , David Schaich , Aarti Veernala

A finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling alpha(q) for a range of momenta q given in units of the string tension K. We find that…

High Energy Physics - Lattice · Physics 2016-08-14 Martin Lüscher , Peter Weisz , Rainer Sommer , Ulli Wolff

We report some preliminary results of our ongoing non-perturbative computation of the twisted 't Hooft running coupling in a particular set-up, using the gradient flow to define the coupling and step scaling techniques to compute it. For…

High Energy Physics - Lattice · Physics 2020-01-14 Eduardo I. Bribian , Margarita Garcia Perez , Alberto Ramos

We calculate the renormalized step scaling function for twelve fundamental flavors nonperturbatively by determining the gradient flow coupling on gauge field configurations generated with dynamical stout-smeared M\"obius domain wall…

High Energy Physics - Lattice · Physics 2018-10-15 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

We perform a lattice study of the topological susceptibility and instanton size distribution of the $\su{2}$ gauge theory with two adjoint Dirac fermions (also known as Minimal Walking Technicolor), which is known to be in the conformal…

High Energy Physics - Lattice · Physics 2013-05-13 Ed Bennett , Biagio Lucini

We give a determination of the phenomenological value of the Wilson (or gradient) flow scales t0 and w0 for 2+1 flavours of dynamical quarks. The simulations are performed keeping the average quark mass constant, which allows the approach…

High Energy Physics - Lattice · Physics 2015-08-25 V. G. Bornyakov , R. Horsley , R. Hudspith , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

The running coupling of the Wilson fermon(JLQCD/CP-PACS) and that of Kogut-Susskind(KS) fermion(MILC) are measured in the lattice Landau gauge QCD in $\widetilde{MOM}$ scheme. The quark propagator of the KS fermion is also measured and we…

High Energy Physics - Lattice · Physics 2007-05-23 Sadataka Furui , Hideo Nakajima

We simulate SU(2) gauge theory with six massless fundamental Dirac fermions. By using the Schr\"odinger Functional method we measure the running of the coupling and the fermion mass over a wide range of length scales. We observe very slow…

High Energy Physics - Phenomenology · Physics 2015-03-17 Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup

Non-zero topological charge is prohibited in the chiral limit of gauge-fermion systems because any instanton would create a zero mode of the Dirac operator. On the lattice, however, the geometric $Q_\text{geom}=\langle F{\tilde F}\rangle…

High Energy Physics - Lattice · Physics 2021-02-17 Anna Hasenfratz , Oliver Witzel

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

We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining transition, Luescher's gradient flow, and the cooling flow to set the scale. Of those, the cooling flow turns…

High Energy Physics - Lattice · Physics 2021-11-19 Bernd A. Berg , David Clarke

In models with large additional dimensions, the GUT scale can be lowered to values accessible by future colliders. Due to modification of the loop corrections from particles propagating into the extra dimensions, the logarithmic running of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sabine Hossenfelder