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Using lattice simulations, we study the extent of the conformal window for an $\text{SU}(3)$ gauge theory with $N_f$ Dirac fermions in the fundamental representation. We present evidence that the infrared behavior is conformal for $12 \leq…

高能物理 - 唯象学 · 物理学 2009-12-15 Thomas Appelquist , George T. Fleming , Ethan T. Neil

We discuss various aspects of Conformal Field Theories on the Lattice. We mainly investigate the SU(3) gauge theory with N_f degenerate fermions in the fundamental representation, employing the one-plaquette gauge action and the Wilson…

高能物理 - 格点 · 物理学 2013-07-24 Y. Iwasaki

We study the conformal window of asymptotically free gauge theories containing $N_f$ flavors of fermion matter transforming to the vector and two-index representations of $SO(N),~SU(N)$ and $Sp(2N)$ gauge groups. For $SO(N)$ we also…

高能物理 - 唯象学 · 物理学 2021-04-14 Jong-Wan Lee

We investigate the gauge dynamics of nonsupersymmetric SU(N) gauge theories featuring the simultaneous presence of fermionic matter transforming according to two distinct representations of the underlying gauge group. We bound the regions…

高能物理 - 唯象学 · 物理学 2014-11-20 Thomas A Ryttov , Francesco Sannino

We present a major update on our investigations of SU(2) gauge theory with one Dirac flavor in the adjoint representation on the lattice. In particular we consider larger volumes, as well as four different values of the gauge coupling. We…

高能物理 - 格点 · 物理学 2022-04-18 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini

We study the nonperturbative dynamics of nonsupersymmetric asymptotically free gauge theories with fermionic matter in distinct representations of the SO(N) and Sp(2N) gauge groups. We use different analytic methods to unveil the associated…

高能物理 - 唯象学 · 物理学 2010-01-15 Francesco Sannino

Using lattice simulations, we study the infrared behavior of a particularly interesting SU(2) gauge theory, with six massless Dirac fermions in the fundamental representation. We compute the running gauge coupling derived non-perturbatively…

After some introductory comments on the peculiar features of slowly running theories, I will report results obtained using the Schrodinger functional technique for two gauge theories that are believed to lie near the bottom of the conformal…

高能物理 - 格点 · 物理学 2013-10-10 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We investigate the conformal window of four-dimensional gauge theories with fermionic matter fields in multiple representations. Of particularly relevant examples are the ultra-violet complete models with fermions in two distinct…

高能物理 - 唯象学 · 物理学 2020-03-11 Byung Su Kim , Deog Ki Hong , Jong-Wan Lee

We apply Schroedinger functional methods to two gauge theories with fermions in two-index representations: the SU(3) theory with Nf=2 adjoint fermions, and the SU(4) theory with Nf=6 fermions in the two-index antisymmetric representation.…

高能物理 - 格点 · 物理学 2013-09-25 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We extend the phase diagram of SU(N) gauge-fermion theories as function of number of flavours and colours to the region in which asymptotic freedom is lost. We argue, using large $N_f$ results, for the existence of an ultraviolet…

高能物理 - 唯象学 · 物理学 2018-06-13 Oleg Antipin , Francesco Sannino

SU(3) gauge theory with dynamical overlap fermions in the 2-index symmetric (sextet) representation is considered. This model may be a viable model of the electroweak symmetry breaking sector along the lines of the walking technicolor…

高能物理 - 格点 · 物理学 2010-01-21 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We present studies of the SU(2) gauge theory with 4, 6 and 10 fermion flavors. These models are expected to lie on both sides of the edge of the conformal window, where the theory has an infrared fixed point. We observe that the coupling…

高能物理 - 格点 · 物理学 2012-10-17 Tuomas Karavirta , Kimmo tuominen , Jarno Rantaharju , Kari Rummukainen

Interacting fixed points in four-dimensional gauge theories coupled to matter are investigated using perturbation theory up to three loop order. It is shown how fixed points, scaling exponents, and anomalous dimensions are obtained as a…

高能物理 - 理论 · 物理学 2018-02-28 Andrew D. Bond , Daniel F. Litim , Gustavo Medina Vazquez , Tom Steudtner

We study the evolution of the coupling in SU(2) gauge field theory with $N_f=4$, 6 and 10 fundamental fermion flavours on the lattice. These values are chosen close to the expected edges of the conformal window, where the theory possesses…

高能物理 - 格点 · 物理学 2015-03-19 Tuomas Karavirta , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We study four-dimensional gauge theories coupled to fermions in the fundamental and meson-like scalars. All requisite beta functions are provided for general gauge group and fermion representation. In the regime where asymptotic freedom is…

高能物理 - 理论 · 物理学 2021-11-17 Andrew D. Bond , Daniel F. Litim , Gustavo Medina Vazquez

We compare the critical multipoint correlation functions for two-dimensional (massless) Dirac fermions in the presence of a random su(N) (non-Abelian) gauge potential, obtained by three different methods. We critically reexamine previous…

介观与纳米尺度物理 · 物理学 2009-10-31 M. J. Bhaseen , J. -S. Caux , I. I. Kogan , A. M. Tsvelik

Two-dimensional QCD with $N_c$ colors and $N_f$ flavors of massless fermions in the fundamental representation is expected to exhibit conformal behavior in the infrared governed by a $u(N_f)$ WZW model with level $N_c$. Using numerical…

高能物理 - 格点 · 物理学 2024-02-22 Nikhil Karthik , Rajamani Narayanan , Sruthi A. Narayanan

We investigate the effects of four-fermion interactions on the phase diagram of strongly interacting theories for any representation as function of the number of colors and flavors. We show that the conformal window, for any representation,…

高能物理 - 唯象学 · 物理学 2011-02-28 Hidenori S. Fukano , Francesco Sannino

We analyze newly expanded and refined data from lattice studies of an SU(3) gauge theory with eight Dirac fermions in the fundamental representation. We focus on the light composite states emerging from these studies, consisting of a set of…

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