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We study SU(2) gauge theory with two Dirac fermions in the adjoint representation of the gauge group on the lattice. Using clover improved Wilson fermion action with hypercubic truncated stout smearing we perform simulations at larger…

High Energy Physics - Lattice · Physics 2016-05-27 Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen

{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

We study two well-known $SU(N)$ chiral gauge theories with fermions in the symmetric, anti-symmetric and fundamental representations. We give a detailed description of the global symmetry, including various discrete quotients. Recent work…

High Energy Physics - Theory · Physics 2022-01-11 Philip Boyle Smith , Avner Karasik , Nakarin Lohitsiri , David Tong

We simulate SU(2) gauge theory with six massless fundamental Dirac fermions. By using the Schr\"odinger Functional method we measure the running of the coupling and the fermion mass over a wide range of length scales. We observe very slow…

High Energy Physics - Phenomenology · Physics 2015-03-17 Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup

We study the dynamics of SU(2) gauge theory with NF=6 Dirac fermions by means of lattice simulation to investigate if they are appropriate to realization of electroweak symmetry breaking. The discrete analogue of beta function for the…

High Energy Physics - Lattice · Physics 2012-10-19 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , N. Yamada

We study SU(2) lattice gauge theory with two flavours of Dirac fermions in the adjoint representation. We measure the running of the coupling in the Schroedinger Functional (SF) scheme and find it is consistent with existing results. We…

High Energy Physics - Phenomenology · Physics 2010-04-06 Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup

We analyze the ultraviolet to infrared evolution and nonperturbative properties of asymptotically free ${\rm SU}(N) \otimes {\rm SU}(N-4) \otimes {\rm U}(1)$ chiral gauge theories with $N_f$ copies of chiral fermions transforming according…

High Energy Physics - Theory · Physics 2019-09-11 Thomas A. Ryttov , Robert Shrock

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…

High Energy Physics - Phenomenology · Physics 2011-04-14 Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup

We present details of a lattice study of infrared behaviour in SU(3) gauge theory with twelve massless fermions in the fundamental representation. Using the step-scaling method, we compute the coupling constant in this theory over a large…

High Energy Physics - Lattice · Physics 2012-08-22 C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Eigo Shintani

We study the evolution of the coupling in SU(2) gauge field theory with $N_f=8$ fundamental fermion flavors on the lattice. This model is expected to have an infrared fixed point at high coupling. We use HEX-smeared Wilson-clover action,…

High Energy Physics - Lattice · Physics 2017-07-18 Viljami Leino , Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen

Walking technicolor is a mechanism for electroweak symmetry breaking without Higgs field. The Higgs mechanism is provided by chiral symmetry breaking in the technicolor theory. An essential ingredient is the vicinity to an IR fixed point,…

High Energy Physics - Lattice · Physics 2011-04-14 Luigi Del Debbio , Biagio Lucini , Agostino Patella , Claudio Pica , Antonio Rago

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…

High Energy Physics - Lattice · Physics 2015-06-19 Anosh Joseph

We present preliminary results of the running of the coupling in SU(2) gauge theory with 6 massless fundamental representation fermion flavors. We measure the coupling using the gradient flow method with Schr\"odinger functional boundary…

High Energy Physics - Lattice · Physics 2016-11-03 Viljami Leino , Teemu Rantalaiho , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen , Sara Tähtinen

We undertake a systematic study of the $4$-dimensional $SU(N)$ $2$-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the $2$-index symmetric and…

High Energy Physics - Theory · Physics 2024-01-10 Mohamed M. Anber , Samson Y. L. Chan

In this work we investigate the infrared behaviour of a Yang-Mills theory coupled to a massless fermion in the adjoint representation of the gauge group SU(2). This model has many interesting properties, corresponding to the $\mathcal{N}=2$…

High Energy Physics - Lattice · Physics 2022-12-07 Georg Bergner , Juan Camilo Lopez , Stefano Piemonte , Ivan Soler Calero

We study the perturbative phase diagram of semi-simple fermionic gauge theories resembling the Standard Model. We investigate an $SU(N)$ gauge theory with $M$ Dirac flavors where we gauge first an $SU(M)_L$ and then an $SU(2)_L \subset…

High Energy Physics - Theory · Physics 2016-02-19 Jacob Kamuk Esbensen , Thomas A. Ryttov , Francesco Sannino

We have carried out a Schrodinger functional (SF) calculation for the SU(3) lattice gauge theory with two flavors of Wilson fermions in the sextet representation of the gauge group. We find that the discrete beta function, which governs the…

High Energy Physics - Lattice · Physics 2008-11-26 Yigal Shamir , Benjamin Svetitsky , Thomas DeGrand

We present our investigation of SU(2) gauge theory with 8 flavours, and SU(3) gauge theory with 12 flavours. For the SU(2) case, at strong bare coupling, $\beta \lesssim 1.45$, the distribution of the lowest eigenvalue of the Dirac operator…

High Energy Physics - Lattice · Physics 2015-11-09 Cynthia Y. -H. Huang , Issaku Kanamori , C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Alberto Ramos , Enrico Rinaldi

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,…

High Energy Physics - Lattice · Physics 2015-03-19 Thomas Appelquist , George T. Fleming , Meifeng Lin , Ethan T. Neil , David A. Schaich

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…

High Energy Physics - Lattice · Physics 2015-03-19 Tuomas Karavirta , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen