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We continue our earlier study of the phase structure of a SU(2) gauge theory whose action contains additional chirally invariant four fermion interactions. Our lattice theory uses a reduced staggered fermion formalism to generate two Dirac…

High Energy Physics - Lattice · Physics 2015-06-15 Simon Catterall , Aarti Veernala

We study SU(2) gauge field theory with $N_f=24$ quarks. The theory is asymptotically non-free and, at vanishing quark mass, governed by a Gaussian fixed point at long distances. On the other hand, at non-zero quark mass the quarks are…

High Energy Physics - Lattice · Physics 2022-09-02 Jarno Rantaharju , Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

Recently several lattice collaborations have studied the scale dependence of the coupling in theories with different gauge groups and fermion representations using the Schr\"odinger functional method. This has motivated us to look at the…

High Energy Physics - Lattice · Physics 2012-10-02 Tuomas Karavirta , Kari Rummukainen , Kimmo Tuominen

We study the phase diagram of the SU(2) lattice gauge theory with fundamental-adjoint Wilson plaquette action. We confirm the presence of a first order bulk phase transition and we estimate the location of its end-point in the bare…

High Energy Physics - Lattice · Physics 2013-02-21 Enrico Rinaldi , Giuseppe Lacagnina , Biagio Lucini , Agostino Patella , Antonio Rago

We have performed numerical simulations of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions. The fermions are discretized with the tadpole-improved clover action. Our simulations are done on lattices of length…

High Energy Physics - Lattice · Physics 2009-02-20 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

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…

High Energy Physics - Lattice · Physics 2013-05-30 Anna Hasenfratz

Walking technicolor theory attempts to realize electroweak symmetry breaking as the spontaneous chiral symmetry breakdown caused by the gauge dynamics with slowly varying gauge coupling constant and large mass anomalous dimension.…

High Energy Physics - Lattice · Physics 2011-05-12 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , S. Uno , N. Yamada

We study the SU(3) gauge theory with twelve flavours of fermions in the fundamental representation as a prototype of non-Abelian gauge theories inside the conformal window. Guided by the pattern of underlying symmetries, chiral and…

High Energy Physics - Lattice · Physics 2015-06-23 M. P. Lombardo , K. Miura , T. J. Nunes da Silva , E. Pallante

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.…

High Energy Physics - Lattice · Physics 2013-09-25 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

A novel strong interaction beyond the standard model could provide a dynamical explanation of electroweak symmetry breaking. Experimental results strongly constrain properties of models that realise this mechanism. Whether these constraints…

High Energy Physics - Lattice · Physics 2015-09-02 Biagio Lucini

We present a first exploratory study of SU(2) gauge theory with one Dirac flavour in the adjoint representation. We provide initial results for the spectroscopy and the anomalous dimension for the chiral condensate. Our investigation…

High Energy Physics - Lattice · Physics 2013-11-19 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini , Agostino Patella

Using improved mean field and strong coupling expansions we re-analyse the bulk phase diagram of the fundamental-adjoint action of the SU(2) Lattice Gauge Theory. We find that the qualitative features of the bulk phase diagram are robust…

High Energy Physics - Lattice · Physics 2009-10-28 Saumen Datta , Rajiv V. Gavai

We examine SU(2) gauge theory in 3+1 dimensions at finite temperature in the vicinity of critical point. For various lattice sizes in time direction ($N_\tau=1,2,4,8$) we extract high precision values of the inverse critical coupling and…

High Energy Physics - Lattice · Physics 2008-11-26 Alexander Velytsky

The behavior of the adjoint Wilson line in finite-temperature, $SU(2)$, lattice gauge theory is discussed. The expectation value of the line and the associated excess free energy reveal the response of the finite-temperature gauge field to…

High Energy Physics - Lattice · Physics 2009-10-22 J. Kiskis , P. Vranas

We numerically study the SU(2) gauge theory with two dynamical flavors of the domain-wall fermions in fundamental representation. The meson spectra and the residual mass are measured on three lattice volumes and at two values of gauge…

High Energy Physics - Lattice · Physics 2014-01-28 Hideo Matsufuru , Yoshio Kikukawa , Kei-ichi Nagai , Norikazu Yamada

The chiral fermion model with local multifermion interactions proposed in Nucl. Phys. B486 (1997) 282 and Phys. Rev. D61 (2000) 054502 processes an exact SU_L(2) chiral gauge symmetry and SU_L(2) by U_R(1) chiral flavour symmetry on a…

High Energy Physics - Lattice · Physics 2009-10-31 She-Sheng Xue

Two popular methods to reduce discretisation effects are Symanzik improvement and gauge field smearing in the Dirac operator. Tree-level $O(a^2)$-improved Wilson fermions can be obtained from $O(a)$-improved Wilson fermions by adding one…

High Energy Physics - Lattice · Physics 2023-10-11 Andreas Risch

We use lattice simulations and the continuous renormalization-group method, based on the gradient flow, to calculate the $\beta$ function and anomalous dimensions of the SU(3) gauge theory with $N_f=10$ flavors of fermions in the…

High Energy Physics - Lattice · Physics 2023-06-21 Anna Hasenfratz , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky , Oliver Witzel

When designing lattice actions, gauge field smearing is frequently used to define the lattice Dirac operator. Since the smearing procedure removes effects of ultraviolet fluctuations, the fermions effectively see a larger lattice spacing…

High Energy Physics - Lattice · Physics 2022-12-09 Andreas Risch , Stefan Schaefer , Rainer Sommer

We compute the spectrum of SU(2) gauge theory with two, four or six Dirac fermions in the fundamental representation of the gauge group. We investigate the scaling of the meson masses as a function of the quark mass when approaching the…

High Energy Physics - Lattice · Physics 2018-06-20 Alessandro Amato , Viljami Leino , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen