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A parametrization of the lattice spacing ($a$) in terms of the bare coupling ($\beta$) for the SU(3) Yang--Mills theory with the Wilson gauge action is given in a wide range of~$\beta$. The Yang--Mills gradient flow with respect to the flow…

高能物理 - 格点 · 物理学 2015-10-09 Masayuki Asakawa , Takumi Iritani , Masakiyo Kitazawa , Hiroshi Suzuki

We present a Monte Carlo renormalisation group study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two-lattice matching technique we measure the running of the coupling and the anomalous mass…

高能物理 - 唯象学 · 物理学 2013-05-30 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

Using an effective description of the thermal partition function for SU(2) sector of N = 4 super Yang-Mills theory in terms of interacting random walks we compute the partition function in planar limit as well as give the leading non-planar…

高能物理 - 理论 · 物理学 2007-05-23 Corneliu Sochichiu

In this work we investigate the infrared behaviour of a Yang-Mills theory coupled to a massless fermion in the adjoint representation of the gauge group SU(2). This model has many interesting properties, corresponding to the $\mathcal{N}=2$…

高能物理 - 格点 · 物理学 2022-12-07 Georg Bergner , Juan Camilo Lopez , Stefano Piemonte , Ivan Soler Calero

We review our recent results on the infrared behaviour of the SU(2) gauge theory with $N_f$ massless fundamental flavour fermions. We have analyzed the running of the coupling in SU(2) gauge theories with six and eight fermionic flavours…

高能物理 - 格点 · 物理学 2018-12-03 Viljami Leino , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen , Sara Tähtinen

We study several types of tree-level improvement in the Yang-Mills gradient flow method in order to reduce the lattice discretization errors in line with Fodor et al. [arXiv:1406.0827]. The tree-level $\mathcal{O}(a^2)$ improvement can be…

高能物理 - 格点 · 物理学 2017-03-15 Norihiko Kamata , Shoichi Sasaki

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

We compare observables to the finite size scaling hypothesis in SU(2) lattice gauge theory with two Dirac fermions in the adjoint representation. The fits that we obtain yield an estimate of the anomalous mass dimension that is consistent…

高能物理 - 格点 · 物理学 2013-05-30 Joel Giedt , Evan Weinberg

We present our preliminary study of the SU(2) gauge theory with 8 flavors of fermions in fundamental representation. This theory could be a candidate of the gauge theory with conformal fixed point. By using Wilson/Polyakov loop in a finite…

We compute the renormalized running coupling of SU(3) gauge theory coupled to N_f = 8 flavors of massless fundamental Dirac fermions. The recently proposed finite volume gradient flow scheme is used. The calculations are performed at…

高能物理 - 格点 · 物理学 2015-06-11 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We analyze bulk thermodynamics and correlation functions of the energy-momentum tensor in pure Yang-Mills gauge theory using the energy-momentum tensor defined by the gradient flow and small flow time expansion. Our results on thermodynamic…

高能物理 - 格点 · 物理学 2014-12-16 Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda , Takumi Iritani , Etsuko Itou , Hiroshi Suzuki

We study the Hamiltonian formulation of SU(2) Yang-Mills theory with staggered fermions in a (2+1)-dimensional small lattice system. We construct a gauge-invariant and finite-dimensional Hilbert space for the theory by applying the…

高能物理 - 格点 · 物理学 2025-04-17 Zhen-Xuan Yang , Hidefumi Matsuda , Xu-Guang Huang , Kouji Kashiwa

Following a recent paper by Fodor et al. (arXiv:1406.0827), we reexamine several types of tree-level improvements on the flow action with various gauge actions in order to reduce the lattice discretization errors in the Yang-Mills gradient…

高能物理 - 格点 · 物理学 2015-11-20 Norihiko Kamata , Shoichi Sasaki

We apply Schrodinger-functional techniques to the SU(2) lattice gauge theory with N_f=2 flavors of fermions in the adjoint representation. Our use of hypercubic smearing enables us to work at stronger couplings than did previous studies,…

高能物理 - 格点 · 物理学 2011-05-10 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We investigate the SU(3) Yang Mills theory at small gradient flow time and at short distances. Lattice spacings down to $a=0.015$ fm are simulated with open boundary conditions to allow topology to flow in and out. We study the behaviour of…

高能物理 - 格点 · 物理学 2018-04-18 Nikolai Husung , Mateusz Koren , Philipp Krah , Rainer Sommer

It has become customary to use a smoothing algorithm called "gradient flow" to fix the lattice spacing in a simulation, through a parameter called $t_0$. It is shown that in order to keep the length $t_0$ fixed with respect to mesonic or…

高能物理 - 格点 · 物理学 2017-07-04 Thomas DeGrand

We measure the running of the $SU(\infty)$ 't Hooft coupling by performing a step scaling analysis of the Twisted Eguchi-Kawai (TEK) model, the SU($N$) gauge theory on a single site lattice with twisted boundary conditions. The computation…

高能物理 - 格点 · 物理学 2014-12-03 Margarita García Pérez , Antonio González-Arroyo , Liam Keegan , Masanori Okawa

We discuss the Schr\"odinger functional in lattice QCD with staggered fermions including its order $O(a)$ boundary counterterms. We relate it, in the classical continuum limit, to the Schr\"odinger functional as obtained in the same limit…

高能物理 - 格点 · 物理学 2009-10-30 Urs M. Heller

We study the phase diagram of the SU(2) lattice gauge theory with fundamental-adjoint Wilson plaquette action. We confirm the presence of a first order bulk phase transition and we estimate the location of its end-point in the bare…

高能物理 - 格点 · 物理学 2013-02-21 Enrico Rinaldi , Giuseppe Lacagnina , Biagio Lucini , Agostino Patella , Antonio Rago

We study the Schr\"odinger functional running coupling in the SU(2) gauge theory with six-flavors of massless fermions. The aim is to determine whether the above theory has an infrared fixed point (IRFP). We use the standard Wilson gauge…

高能物理 - 格点 · 物理学 2012-12-07 Gennady Voronov