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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

The mode number of the Dirac operator scales with an exponent related to the mass anomalous dimension gamma_m. This relation holds both in IR-conformal systems, as well as in confining systems for large enough eigenvalues. We investigate…

高能物理 - 格点 · 物理学 2022-09-21 Anna Hasenfratz , Anqi Cheng , Gregory Petropoulos , David Schaich

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

The slowly evolving gauge coupling of gauge-fermion systems near the conformal window makes numerical investigations of these models challenging. We consider finite size scaling and show that this often used technique leads to inconsistent…

高能物理 - 格点 · 物理学 2014-07-30 Anqi Cheng , Anna Hasenfratz , Yuzhi Liu , Gregory Petropoulos , David Schaich

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

We present a Monte Carlo Renormalisation Group (MCRG) 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…

高能物理 - 唯象学 · 物理学 2011-10-11 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

We extend our previous study of the SU(3) gauge theory with N_f=2 flavors of fermions in the sextet representation of color. Our tool is the Schroedinger functional method. By changing the lattice action, we push the bulk transition of the…

高能物理 - 格点 · 物理学 2013-05-01 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

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

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 solve a system of massless fermions constrained to two space-time dimensions interacting via a $d$ space-time dimensional Maxwell field. Through dimensional reduction to the defect and bosonization, the system maps to a massless scalar…

高能物理 - 理论 · 物理学 2024-12-06 Ludovic Fraser-Taliente , Christopher P. Herzog , Abhay Shrestha

The goal of this study is to investigate the scaling behaviour of our 2 HEX action. For this purpose, we compute the $N_f=3$ spectrum and compare the results to our 6 EXP action. We find a large scaling window up to $\sim 0.15\,\mathrm{fm}$…

We present updated results for the non-perturbative $\beta$-function of SU(3) gauge theories with $N_f = 12$ or 10 massless flavors in the fundamental rep or $N_f = 2$ in the sextet rep, measured with staggered fermions. New data at finer…

高能物理 - 格点 · 物理学 2019-12-18 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

We consider a gauge symmetry extension of the standard model given by $SU(3)_C\otimes SU(2)_L\otimes U(1)_X\otimes U(1)_N\otimes Z_2$ with minimal particle content, where $X$ and $N$ are family dependent but determining the hypercharge as…

高能物理 - 唯象学 · 物理学 2023-11-15 Duong Van Loi , Cao H. Nam , Phung Van Dong

The lattice phase structure of a gauge theory can be a serious obstruction to Monte Carlo studies of its continuum behaviour. This issue is particularly delicate when numerical studies are performed to determine whether a theory is in a…

高能物理 - 格点 · 物理学 2014-08-14 Biagio Lucini , Agostino Patella , Antonio Rago , Enrico Rinaldi

The SU(2) gauge theory with 8 fundamental fermions is studied using unimproved staggered regularization. A phase transition or a crossover at strong coupling, which can be a bulk transition. By using chiral random matrix model we analyze…

高能物理 - 格点 · 物理学 2019-12-04 Issaku Kanamori , C. -J. David Lin

We present results of quenched $SU(3)$ hadron spectroscopy comparing $\order(a)$ improved Wilson (Clover) fermions with conventional Wilson fermions. The configurations were generated using an $\order(a^2)$ improved 6-link $SU(3)$ pure…

高能物理 - 格点 · 物理学 2010-01-18 Sara Collins , Robert G. Edwards , Urs M. Heller , John Sloan

We investigate the physical spectrum of vector-like SU(N) gauge theories with infrared coupling close to but above the critical value for a conformal phase transition. We use dispersion relations, the momentum dependence of the dynamical…

高能物理 - 唯象学 · 物理学 2008-11-26 T. Appelquist , F. Sannino

Motivated by recent scenarios of exotic infrared behaviour and by earlier lattice findings, we present results for the SU(2) gauge theory with one Dirac flavor in the adjoint representation. This provides a major update on our previous…

高能物理 - 格点 · 物理学 2021-11-11 Ed Bennett , Andreas Athenodorou , Georg Bergner , Biagio Lucini

We construct a prototype BSM model based on the SU(3) color gauge group and a combination of 4 light (massless) and 8 heavy flavors. In the infrared, the SU(4) flavor chiral symmetry is spontaneously broken, while in the ultraviolet this…

高能物理 - 格点 · 物理学 2016-11-23 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

I investigate an SU(3) gauge model with 12 fundamental fermions. The physically interesting region of this strongly coupled system can be influenced by an ultraviolet fixed point due to lattice artifacts. I suggest to use a gauge action…

高能物理 - 格点 · 物理学 2013-05-30 Anna Hasenfratz