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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 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 consider a vectorial, asymptotically free gauge theory and analyze the effect of higher-loop corrections to the beta function on the evolution of the theory from the ultraviolet to the infrared. We study the case in which the theory…

高能物理 - 唯象学 · 物理学 2011-03-22 Thomas A. Ryttov , Robert Shrock

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 calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a direct analysis of the beta function and…

高能物理 - 理论 · 物理学 2016-11-23 Thomas A. Ryttov , Robert Shrock

We determine the anomalous dimensions of baryon operators for the three color theory as function of the number of massless flavours within the conformal window to the maximum known order in perturbation theory. We show that the anomalous…

高能物理 - 唯象学 · 物理学 2016-11-15 Claudio Pica , Francesco Sannino

We report extended simulation results and their new analysis in two important gauge theories with twelve fermion flavors in the fundamental SU(3) color representation and two fermions in the sextet representation. We probe the $N_f=12$…

高能物理 - 格点 · 物理学 2012-05-10 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder , Chik Him Wong

We simulate SU(2) gauge theory with six massless fundamental Dirac fermions. We measure the running of the coupling and the mass in the Schroedinger Functional scheme. We observe very slow running of the coupling constant. We measure the…

高能物理 - 唯象学 · 物理学 2011-04-14 Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup

We show the numerical simulation result for the mass anomalous dimension of the SU($3$) gauge theory coupled to $N_f = 12$ fundamental fermions. We use two independent methods, namely the step scaling method and the hyperscaling method of…

高能物理 - 格点 · 物理学 2014-11-06 Etsuko Itou , Akio Tomiya

We summarize our recent work on gauge theories with two flavors of fermions in the two-index symmetric representation: SU(2) gauge theory with adjoint fermions, SU(3) with sextets, and SU(4) with ten-dimensional-representation fermions. All…

高能物理 - 格点 · 物理学 2011-11-02 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

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

Extended simulation results and their analysis are reported in a strongly coupled gauge theory with twelve fermion flavors in the fundamental SU(3) color representation. The conformality of the model is probed using mass deformed conformal…

高能物理 - 格点 · 物理学 2012-11-20 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder , Chik Him Wong

We present scheme-independent calculations of the anomalous dimensions $\gamma_{\bar\psi\psi,IR}$ and $\gamma_{\bar\chi\chi,IR}$ of fermion bilinear operators $\bar\psi\psi$ and $\bar\chi\chi$ at an infrared fixed point in an asymptotically…

高能物理 - 格点 · 物理学 2023-09-14 Thomas A. Ryttov , Robert Shrock

We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated…

高能物理 - 理论 · 物理学 2009-11-18 Ian Jack , D. R. Timothy Jones , Philipp Kant , Luminita Mihaila

We consider an asymptotically free vectorial SU($N_c$) gauge theory with $N_f$ massless fermions in a representation $R$, having an infrared fixed point (IRFP) of the renormalization group at $\alpha_{IR}$ in the conformal non-Abelian…

高能物理 - 理论 · 物理学 2017-04-19 Thomas A. Ryttov , Robert Shrock

We use lattice simulations to study SU(3) gauge theory with 13 massless fermions in the fundamental representation. We present evidence that the theory is conformal with a non-zero infrared fixed point in the gauge coupling. We use a…

高能物理 - 格点 · 物理学 2018-11-14 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

SU(3) gauge theory with $N_f$ fermions in the fundamental representation serves as a theoretical testing ground for possible infrared conformal behavior, which could play a role in BSM composite Higgs models. We use lattice simulations to…

高能物理 - 格点 · 物理学 2018-12-11 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

We suggest how to consistently calculate the anomalous dimension $\gamma_*$ of the $\bar{\psi}\psi$ operator in finite order perturbation theory at an infrared fixed point for asymptotically free theories. If the $n+1$ loop beta function…

高能物理 - 理论 · 物理学 2016-08-17 Thomas A. Ryttov

The possibility that gauge theories with chiral symmetry breaking below the conformal window exhibit an infrared fixed point is explored. With this assumption three aspects of pion physics are reproduced if the the quark mass anomalous…

高能物理 - 唯象学 · 物理学 2023-08-16 Roman Zwicky

We discuss the existence of a conformal phase in SU(N) gauge theories in four dimensions. In this lattice study we explore the model in the bare parameter space, varying the lattice coupling and bare mass. Simulations are carried out with…

高能物理 - 唯象学 · 物理学 2010-10-26 A. Deuzeman , M. P. Lombardo , E. Pallante