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We examine several recent lattice-simulation data sets, asking whether they are consistent with infrared conformality. We observe, in particular, that for an SU(3) gauge theory with 12 Dirac fermions in the fundamental representation,…

高能物理 - 格点 · 物理学 2015-03-19 Thomas Appelquist , George T. Fleming , Meifeng Lin , Ethan T. Neil , David A. Schaich

The dynamics with an infrared stable fixed point in the conformal window in QCD like theories (with a relatively large number of fermion flavors) is studied. The dependence of masses of colorless bound states on a bare fermion mass is…

高能物理 - 唯象学 · 物理学 2009-10-31 V. A. Miransky

We consider vectorial, asymptotically free ${\cal N}=1$ supersymmetric SU($N_c$) gauge theories with $N_f$ copies of massless chiral super fields in various representations and study how perturbative predictions for the lower boundary of…

高能物理 - 唯象学 · 物理学 2012-04-26 Thomas A. Ryttov , Robert Shrock

We propose nonlinear Dirac equations where the conformal degree of the self-interaction terms are equal to that of the Dirac operator and the coupling parameters are dimensionless. As such, the massless equation is conformally invariant and…

量子物理 · 物理学 2018-07-04 A. D. Alhaidari , U. Al Khawaja , Y. H. Sabbah

We uncover novel solutions of the 't Hooft anomaly matching conditions for scalarless gauge theories with matter transforming according to higher dimensional representations of the underlying gauge group. We argue that, if the duals exist,…

高能物理 - 理论 · 物理学 2015-05-14 Francesco Sannino

SU(2) gauge theory with two fermions transforming under the adjoint representation may appear conformal or almost conformal in the infrared, and is one of the candidate theories for building models for technicolor. Early lattice Monte Carlo…

高能物理 - 格点 · 物理学 2015-05-20 Tuomas Karavirta , Anne Mykkanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

Undeniably, the imminent activity of LHC and the quest for the nature of physics beyond the standard model have raised renewed interest in the conformal and quasi-conformal behaviour of gauge field theories with matter content.…

高能物理 - 格点 · 物理学 2010-01-21 A. Deuzeman , M. P. Lombardo , E. Pallante

We construct two-dimensional ${\cal N} = (2, 2)$ supersymmetric gauge theories on a Euclidean spacetime lattice with matter in the two-index symmetric and anti-symmetric representations of SU($N_c$) color group. These lattice theories…

高能物理 - 格点 · 物理学 2015-06-19 Anosh Joseph

We perform a lattice study of the topological susceptibility and instanton size distribution of the $\su{2}$ gauge theory with two adjoint Dirac fermions (also known as Minimal Walking Technicolor), which is known to be in the conformal…

高能物理 - 格点 · 物理学 2013-05-13 Ed Bennett , Biagio Lucini

We are given $n$ balls and an unknown coloring of them with two colors. Our goal is to find a ball that belongs to the larger color class, or show that the color classes have the same size. We can ask sets of $k$ balls as queries, and the…

组合数学 · 数学 2023-06-22 Dániel Gerbner , Máté Vizer

We study two exactly solvable two-dimensional conformal models, the critical Ising model and the Sommerfield model, on the lattice. We show that finite-size effects are important and depend on the aspect ratio of the lattice. In particular,…

高能物理 - 格点 · 物理学 2014-10-07 Oscar Akerlund , Philippe de Forcrand

We have calculated the running coupling in SU(2), SU(3), and SU(4) gauge theories to see whether they have infrared fixed points. An infrared fixed point means no confinement: It means that the long-distance physics is conformal, without a…

高能物理 - 格点 · 物理学 2013-01-10 Benjamin Svetitsky

The Schwinger model with $N_f \geq 2$ flavors is a simple example for a fermionic model with zero chiral condensate Sigma (in the chiral limit). We consider numerical data for two light flavors, based on simulations with dynamical chiral…

高能物理 - 格点 · 物理学 2020-07-14 David Landa-Marbán , Wolfgang Bietenholz , Ivan Hip

We demonstrate a physical motivation for extending color-dual or BCJ double-copy construction to include theories with kinematic numerators that obey the same algebraic relations as symmetric structure constants,…

高能物理 - 理论 · 物理学 2023-10-10 John Joseph M. Carrasco , Nicolas H. Pavao

We present new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. The number of fermion flavors is varied in an extended range below the…

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

Fermionic theories with a vanishing chiral condensate (in the chiral limit) have recently attracted considerable interest; in particular variants of multi-flavour QCD are candidates for this behaviour. Here we consider the 2-flavour…

高能物理 - 格点 · 物理学 2020-07-14 Wolfgang Bietenholz , Ivan Hip , David Landa-Marbán

We compute the fermionic contributions to the cusp anomalous dimension in QCD at four loops as an expansion for small cusp angle. As a byproduct we also obtain the respective terms of the four-loop HQET wave function anomalous dimension.…

高能物理 - 唯象学 · 物理学 2019-06-26 Robin Brüser , Andrey Grozin , Johannes M. Henn , Maximilian Stahlhofen

Two ideas have greatly contributed to our understanding of baryon structure in the framework of Quantum Chromodynamics (QCD). The first, chiral symmetry, received its fundamental justification from QCD and has been developed into the…

高能物理 - 唯象学 · 物理学 2009-09-25 Thomas D. Cohen

We report new results on nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group as the number of fermion flavors is varied in the Nf = 4-16 range. To unambiguously identify the…

高能物理 - 格点 · 物理学 2009-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present in detail the implementation of the HMC/RHMC algorithm for simulating dynamical fermions. We discuss the…

高能物理 - 格点 · 物理学 2014-11-18 Luigi Del Debbio , Agostino Patella , Claudio Pica