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Related papers: Gradient flow running coupling in SU(2) Nf=6 flavo…

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We provide an extended lattice study of the SU(2) gauge theory coupled to one Dirac fermion flavour ($N_{\mathrm{f}} =1$) transforming in the adjoint representation as the continuum limit is approached. This investigation is supplemented by…

High Energy Physics - Lattice · Physics 2026-04-13 Andreas Athenodorou , Ed Bennett , Georg Bergner , Pietro Butti , Julian Lenz , Biagio Lucini

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 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…

The standard method to calculate non-perturbatively the evolution of the running coupling of a SU(N) gauge theory is based on the Schr\"odinger functional (SF). In this paper we construct a family of boundary fields for general values of N…

High Energy Physics - Lattice · Physics 2015-06-22 Ari Hietanen , Tuomas Karavirta , Pol Vilaseca

We report on our computation of the perturbative running of the 't Hooft coupling in a pure gauge $SU(N)$ theory with twisted boundary conditions. The coupling is defined in terms of the energy density of the flow fields at a scale given by…

High Energy Physics - Lattice · Physics 2018-10-31 Eduardo I. Bribian , Margarita Garcia Perez

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

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

We study an SU(3) gauge theory with Nf=8 degenerate flavors of light fermions in the fundamental representation. Using the domain wall fermion formulation, we investigate the light hadron spectrum, chiral condensate and electroweak S…

The Yang-Mills gradient flow is considered on the four dimensional torus T^4 for SU(N) gauge theory coupled to N_f flavors of massless fermions in arbitrary representations. The small volume dynamics is dominated by the constant gauge…

High Energy Physics - Lattice · Physics 2012-08-28 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

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…

High Energy Physics - Lattice · Physics 2008-11-26 Yigal Shamir , Benjamin Svetitsky , Thomas DeGrand

It is expected that SU(2) gauge theory with $N_f$ fundamental fermions has an infrared fixed point when $N_f$ is between $\sim 6$ and 10. We study the hadron spectrum and scale setting in SU(2) gauge field theory with $N_f=2,4,6$ using…

High Energy Physics - Lattice · Physics 2015-11-17 Alessandro Amato , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen

We report on the determination of the gradient flow scales in $N_f=2+1$ QCD using highly improved staggered quark (HISQ) ensembles generated by the HotQCD Collaboration for bare gauge couplings ranging from $\beta = 6.423$ to $8.400$. Using…

High Energy Physics - Lattice · Physics 2026-03-09 Rasmus Larsen , Swagato Mukherjee , Peter Petreczky , Hai-Tao Shu , Johannes Heinrich Weber

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…

High Energy Physics - Lattice · Physics 2015-06-25 F. Berruto , E. Coletti , G. Grignani , P. Sodano

We present a numerical study of the spectrum of an asymptotically non-free $SU(2)$ gauge theory with $N_f=24$ massive fermion flavors. For such large number of flavors, asymptotic freedom is lost and the massless theory is governed by a…

High Energy Physics - Lattice · Physics 2022-09-02 Jarno Rantaharju , Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

We compute the spectrum of SU(2) gauge theory with two, four or six Dirac fermions in the fundamental representation of the gauge group. We investigate the scaling of the meson masses as a function of the quark mass when approaching the…

High Energy Physics - Lattice · Physics 2018-06-20 Alessandro Amato , Viljami Leino , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen

We present a brief overview of our recent lattice studies of SU(3) gauge theory with N_f = 8 and 12 fundamental fermions, including some new and yet-unpublished results. To explore relatively unfamiliar systems beyond lattice QCD, we carry…

High Energy Physics - Lattice · Physics 2017-08-23 Anna Hasenfratz , Anqi Cheng , Gregory Petropoulos , David Schaich

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

We study SU(2) gauge field theory with $N_f=24$ quarks. The theory is asymptotically non-free and, at vanishing quark mass, governed by a Gaussian fixed point at long distances. On the other hand, at non-zero quark mass the quarks are…

High Energy Physics - Lattice · Physics 2022-09-02 Jarno Rantaharju , Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

We study the Yang-Mills gradient flow using numerical stochastic perturbation theory. As an application of the method we consider the recently proposed gradient flow coupling in the Schr\"odinger functional for the pure SU(3) gauge theory.

High Energy Physics - Lattice · Physics 2013-12-20 Mattia Dalla Brida , Dirk Hesse

We discuss the Schr\"odinger functional in lattice QCD with staggered fermions and relate it, in the classical continuum limit, to the Schr\"odinger functional regularized with Wilson fermions. We compute the strong coupling constant…

High Energy Physics - Lattice · Physics 2009-10-30 Urs M. Heller