English
Related papers

Related papers: Determining the mass anomalous dimension through t…

200 papers

{We present the results of a numerical investigation of SU(2) gauge theory with $N_f=3/2$ flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the…

High Energy Physics - Lattice · Physics 2018-11-12 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

In this work we consider the $SU(N)$ gauge theory with two Dirac fermions in the adjoint representation, in the limit of large $N$. In this limit the infinite-volume physics of this model can be studied by means of the corresponding twisted…

High Energy Physics - Lattice · Physics 2016-08-08 Margarita García Pérez , Antonio González-Arroyo , Liam Keegan , Masanori Okawa

We study four-dimensional conformal field theories with an $SU(N)$ global symmetry by employing the numerical conformal bootstrap. We consider the crossing relation associated with a four-point function of a spin~$0$…

High Energy Physics - Theory · Physics 2016-06-21 Hisashi Iha , Hiroki Makino , Hiroshi Suzuki

SU(2) with N_f = 6 and N_f = 8 are believed to have an infrared conformal fixed point. We use the spectral density method cross referenced with the mass step scaling method to evaluate the coupling constant dependence of the mass anomalous…

High Energy Physics - Lattice · Physics 2016-11-08 Joni M. Suorsa , Viljami Leino , Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen

We review methods and results for extracting the anomalous dimensions of operators from lattice field theory calculations. The most important application is the anomalous mass dimension in conformal or nearly conformal gauge field theories…

High Energy Physics - Lattice · Physics 2016-05-04 Joel Giedt

In the exploration of viable models of dynamical electroweak symmetry breaking, it is essential to locate the lower end of the conformal window and know the mass anomalous dimensions there for a variety of gauge theories. We calculate, with…

High Energy Physics - Lattice · Physics 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , N. Yamada

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…

High Energy Physics - Lattice · Physics 2021-11-11 Ed Bennett , Andreas Athenodorou , Georg Bergner , Biagio Lucini

We perform a systematic analysis of standard model extensions with an additional anomaly-free gauge $U(1)$ symmetry, to generate Dirac neutrino masses at one loop. Under such symmetry, standard model fields could either transform or be…

High Energy Physics - Phenomenology · Physics 2021-06-02 Nicolás Bernal , Julián Calle , Diego Restrepo

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…

High Energy Physics - Lattice · Physics 2013-05-30 Joel Giedt , Evan Weinberg

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…

High Energy Physics - Phenomenology · Physics 2013-05-30 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

Models of strongly interacting theories with a large mass anomalous dimension ($\gamma_m$) provide an interesting possibility for the dynamical origin of the electroweak symmetry breaking. A laboratory for these models is QCD with many…

High Energy Physics - Phenomenology · Physics 2016-11-23 A. Doff , A. A. Natale

SU(2) with Nf=8 is believed to have an infrared conformal fixed point. We use the spectral density method to evaluate the coupling constant dependence of the mass anomalous dimension for massless HEX smeared, clover improved Wilson fermions…

High Energy Physics - Lattice · Physics 2015-11-12 Joni M. Suorsa , Viljami Leino , Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen , David J. Weir

The anomalous dimension $\gamma_m =1$ in the infrared region near conformal edge in the broken phase of the large $N_f$ QCD has been shown by the ladder Schwinger-Dyson equation and also by the lattice simulation for $N_f=8$ for $ N_c=3$.…

High Energy Physics - Phenomenology · Physics 2023-10-06 Koichi Yamawaki

We report tests and results from a new approach to the spectral density and the mode number distribution of the Dirac operator in lattice gauge theories. The algorithm generates the spectral density of the lattice Dirac operator as a…

High Energy Physics - Lattice · Physics 2016-05-27 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

The dynamics at the IR fixed point realized in the $SU(N_c)$ gauge theories with massless Dirac fermions is studied by means of the non-perturbative renormalization group. The analysis includes the IR fixed points with non-trivial Yukawa…

High Energy Physics - Phenomenology · Physics 2011-11-09 Haruhiko Terao , Akito Tsuchiya

Theories with large mass anomalous dimensions ($\gamma_m$) have been extensively studied because of their deep consequences for models where the scalar bosons are composite. Large $\gamma_m$ values may appear when a non-Abelian gauge theory…

High Energy Physics - Phenomenology · Physics 2017-06-28 A. Doff , A. A. Natale

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…

High Energy Physics - Lattice · Physics 2013-05-01 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

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,…

High Energy Physics - Lattice · Physics 2011-05-10 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

Finite size scaling is a powerful tool to study the critical properties of systems governed by one relevant operator, assuming all irrelevant operators have scaling dimensions much smaller then zero. This condition is likely not satisfied…

High Energy Physics - Lattice · Physics 2022-09-21 Anna Hasenfratz , Anqi Cheng , Gregory Petropoulos , David Schaich

An explicit, detailed evaluation of the classical continuum limit of the axial anomaly/index density of the overlap Dirac operator is carried out in the infinite volume setting, and in a certain finite volume setting where the continuum…

High Energy Physics - Lattice · Physics 2009-10-31 David H. Adams