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Related papers: Improved Lattice Renormalization Group Techniques

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We study the renormalization group properties of SU(3) gauge theories with N_f=8 and 12 nearly-massless fermions, using Monte Carlo Renormalization Group (MCRG) two-lattice matching techniques to predict bare step-scaling functions s_b.…

High Energy Physics - Lattice · Physics 2012-12-04 Gregory Petropoulos , Anqi Cheng , Anna Hasenfratz , David Schaich

I investigate an SU(3) gauge model with 12 fundamental fermions. The physically interesting region of this strongly coupled system can be influenced by an ultraviolet fixed point due to lattice artifacts. I suggest to use a gauge action…

High Energy Physics - Lattice · Physics 2013-05-30 Anna Hasenfratz

We use lattice simulations and the continuous renormalization-group method, based on the gradient flow, to calculate the $\beta$ function and anomalous dimensions of the SU(3) gauge theory with $N_f=10$ flavors of fermions in the…

High Energy Physics - Lattice · Physics 2023-06-21 Anna Hasenfratz , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky , Oliver Witzel

We investigate the renormalization group (RG) flow of SU(3) lattice gauge theory in a two coupling space with couplings $\beta_{11}$ and $\beta_{12}$ corresponding to $1\times 1$ and $1\times 2$ loops respectively. Extensive numerical…

I perform an improved study of the $\beta$-function of $ SU(3) $ lattice gauge theory with $N_f=10$ massless optimal domain-wall fermions in the fundamental representation, which serves as a check to what extent the scenario in the previous…

High Energy Physics - Lattice · Physics 2019-01-23 Ting-Wai Chiu

We perform the step-scaling investigation of the running coupling constant, using the gradient-flow scheme, in SU(3) gauge theory with twelve massless fermions in the fundamental representation. The Wilson plaquette gauge action and…

High Energy Physics - Lattice · Physics 2015-12-18 C. -J. David Lin , Kenji Ogawa , Alberto Ramos

New tests are applied to two $\beta$-functions of the much-discussed BSM model with ten massless fermion flavors in the fundamental representation of the SU(3) color gauge group. The renormalization scheme of the two $\beta$-functions is…

High Energy Physics - Lattice · Physics 2022-03-31 Zoltán Fodor , Kieran Holland , Julius Kuti , Chik Him Wong

We introduce a non-perturbative improvement for the renormalization group step scaling function based on the gradient flow running coupling, which may be applied to any lattice gauge theory of interest. Considering first SU(3) gauge theory…

High Energy Physics - Lattice · Physics 2014-06-10 Anqi Cheng , Anna Hasenfratz , Yuzhi Liu , Gregory Petropoulos , David Schaich

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 step-scaling function, the lattice analog of the renormalization group $\beta$ function, is presented for the SU(3) gauge system with eight flavors in the fundamental representation. Our investigation is based on generating dynamical…

High Energy Physics - Lattice · Physics 2023-06-28 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

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 investigate the discrete $\beta$ function of the 2-flavor SU(3) sextet model using the finite volume gradient flow scheme. Our results, using clover improved nHYP smeared Wilson fermions, follow the (non-universal) 4-loop…

High Energy Physics - Lattice · Physics 2015-07-30 Anna Hasenfratz , Yuzhi Liu , Cynthia Yu-Han Huang

We calculate the third coefficient of the lattice beta function associated with the Wilson formulation for both gauge fields and fermions. This allows us to evaluate the three-loop correction (linear in $g_0^2$) to the relation between the…

High Energy Physics - Lattice · Physics 2009-10-31 C. Christou , A. Feo , H. Panagopoulos , E. Vicari

We present details of a lattice study of infrared behaviour in SU(3) gauge theory with twelve massless fermions in the fundamental representation. Using the step-scaling method, we compute the coupling constant in this theory over a large…

High Energy Physics - Lattice · Physics 2012-08-22 C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Eigo Shintani

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 calculate the step scaling function, the lattice analog of the renormalization group $\beta$-function, for an SU(3) gauge theory with ten fundamental flavors. We present a detailed analysis including the study of systematic effects of…

High Energy Physics - Lattice · Physics 2020-07-08 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

Nonperturbative determinations of the renormalization group (RG) $\beta$ function are crucial to understand properties of gauge-fermion systems at strong coupling and connect lattice simulations and the perturbative ultraviolet regime.…

High Energy Physics - Lattice · Physics 2023-01-11 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

Nonperturbative lattice field theory simulations provide a systematic framework to investigate properties of conformal systems at strong couplings. These simulations can be performed using different lattice discretizations. Here we present…

High Energy Physics - Lattice · Physics 2019-09-13 A. Hasenfratz , C. Rebbi , O. Witzel

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

We present a real-space renormalization group transformation with continuous scale change to calculate the continuous renormalization group $\beta$ function in non-perturbative lattice simulations. Our method is motivated by the connection…

High Energy Physics - Lattice · Physics 2020-03-10 Anna Hasenfratz , Oliver Witzel
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