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We study the scaling behavior of the step scaling function for SU(3) gauge theory, employing the renormalization-group improved Iwasaki gauge action and the perturbatively improved L\"uscher-Weisz gauge action. We confirm that the step…

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

高能物理 - 格点 · 物理学 2017-05-24 Bernd A. Berg , David A. Clarke

The entropy of entanglement between a three-dimensional slab of thickness l and its complement is studied numerically for four-dimensional SU(2) lattice gauge theory. We find a signature of a nonanalytic behavior of the entanglement…

高能物理 - 格点 · 物理学 2008-11-26 P. V. Buividovich , M. I. Polikarpov

We extend the definition of L\"uscher's lattice topological charge to the case of $4$d $SU(N)$ gauge fields coupled with $\mathbb{Z}_N$ $2$-form gauge fields. This result is achieved while maintaining the locality, the $SU(N)$ gauge…

高能物理 - 格点 · 物理学 2023-08-24 Motokazu Abe , Okuto Morikawa , Soma Onoda , Hiroshi Suzuki , Yuya Tanizaki

We study in detail the little-Higgs model proposed by Low, Skiba and Smith with an SU(6)/Sp(6) group structure. The effective theory at the TeV scale is a two-Higgs doublet model (2HDM) with additional heavy vector-like fermions and…

高能物理 - 唯象学 · 物理学 2016-08-03 Shrihari Gopalakrishna , Tuhin Subhra Mukherjee , Soumya Sadhukhan

We propose here a method to experimentally quantify unsteady leading-edge flow separation on aerofoils with finite thickness. The methodology relies on the computation of a leading-edge suction parameter based on measured values of the…

流体动力学 · 物理学 2022-05-16 Julien Deparday , Xiaowei He , Jeff D. Eldredge , Karen Mulleners , David R. Williams

We propose a new strategy for the determination of the step scaling function $\sigma(u)$ in finite size scaling studies using the Gradient Flow. In this approach the determination of $\sigma(u)$ is broken in two pieces: a change of the flow…

高能物理 - 格点 · 物理学 2021-02-03 Alessandro Nada , Alberto Ramos

One possibility for Beyond Standard Model physics is a new strongly-interacting gauge theory. One way to determine if a non-abelian gauge theory is QCD-like or conformal is to measure the running of the renormalized gauge coupling. We…

高能物理 - 格点 · 物理学 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We study SU(2) gauge theory with two fermion flavors in the adjoint representation. Using a clover improved HEX smeared action and the gradient flow running coupling allows us to simulate with larger lattice size than before. We find an…

高能物理 - 格点 · 物理学 2016-05-31 Jarno Rantaharju

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…

高能物理 - 格点 · 物理学 2023-06-28 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

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…

高能物理 - 格点 · 物理学 2019-01-23 Ting-Wai Chiu

We study the running of the coupling in SU(2) gauge theory with 8 massless fundamental representation fermion flavours, using the gradient flow method with the Schr\"odinger functional boundary conditions. Gradient flow allows us to measure…

Recently the Yang-Mills gradient flow of pure SU(3) lattice gauge theory has been calculated in the range from $\beta=6/g_0^2=6.3$ to~7.5 (Asakawa et al.), where $g_0^2$ is the bare coupling constant of the SU(3) Wilson action. Estimates of…

高能物理 - 格点 · 物理学 2015-09-16 Bernd A. Berg

We present a non-perturbative formalism for measuring defect free energies (monopole mass or vortex tension) in three-dimensional SU(2)+adjoint Higgs models. Starting from twisted, translation invariant boundary conditions, we perform a…

高能物理 - 格点 · 物理学 2009-10-31 A. C. Davis , T. W. B. Kibble , A. Rajantie , H. Shanahan

We study the sensitivity of the gradient flow coupling to sectors of different topological charge and its implications in practical situations. Furthermore, we investigate an alternative definition of the running coupling that is expected…

高能物理 - 格点 · 物理学 2013-12-02 Patrick Fritzsch , Alberto Ramos , Felix Stollenwerk

We discuss a class of saddle-point configurations in SU(2) lattice gauge theory in three Euclidean dimensions. These configurations are smooth on the scale of the lattice and have an action density exhibiting localized peaks, as has been…

高能物理 - 格点 · 物理学 2016-11-03 Robert D. Mawhinney

This paper introduces a novel paradigm for constructing linearly implicit and high-order unconditionally energy-stable schemes for general gradient flows, utilizing the scalar auxiliary variable (SAV) approach and the additive Runge-Kutta…

数值分析 · 数学 2023-07-11 Xuelong Gu , Wenjun Cai , Yushun Wang

The apparent unification of gauge couplings in Grand Unified Theories around 10$^{16}$ GeV is one of the strong arguments in favor of Supersymmetric extensions of the Standard Model. In this paper, an analysis of the measurements of the…

高能物理 - 唯象学 · 物理学 2016-01-20 Dimitri Bourilkov

A multi-scale model for the evolution of the velocity gradient tensor in fully developed turbulence is proposed. The model is based on a coupling between a ``Restricted Euler'' dynamics [{\it P. Vieillefosse, Physica A, {\bf 14}, 150…

混沌动力学 · 物理学 2007-06-13 Luca Biferale , Laurent Chevillard , Charles Meneveau , Federico Toschi

We show that high-temperature perturbation theory describes extremely well the area law of SU(N) spatial 't Hooft loops, or equivalently the tension of the interface between different Z_N vacua in the deconfined phase. For SU(2), the…

高能物理 - 格点 · 物理学 2009-09-29 Philippe de Forcrand , Biagio Lucini , David Noth