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We show that noncommutative U(r) gauge theories with a chiral fermion in the adjoint representation can be constructed on the lattice with manifest star-gauge invariance in arbitrary even dimensions. Chiral fermions are implemented using a…

High Energy Physics - Theory · Physics 2009-11-07 J. Nishimura , M. A. Vazquez-Mozo

Via large and small $N_c$ relations we derive nonperturbative results about the conformal window of two-index theories. Using Schwinger-Dyson methods as well as four-loops results we estimate subleading corrections and show that naive large…

High Energy Physics - Theory · Physics 2016-01-27 Georg Bergner , Thomas A. Ryttov , Francesco Sannino

$SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions are considered at high quark chemical potential $\mu$ and any temperature $T$. In the strong coupling regime (sufficiently small $\beta$) they have been…

High Energy Physics - Lattice · Physics 2015-11-13 E. T. Tomboulis

Lattice gauge theories are a powerful language to theoretically describe a variety of strongly correlated systems, including frustrated magnets, high-$T_c$ superconductors, and topological phases. However, in many cases gauge fields couple…

Strongly Correlated Electrons · Physics 2017-11-07 Christian Prosko , Shu-Ping Lee , Joseph Maciejko

We classify $su(N_c)$ gauge theories on $\mathbb R^3\times \mathbb S^1$ with massless fermions in higher representations obeying periodic boundary conditions along $\mathbb S^1$. In particular, we single out the class of theories that is…

High Energy Physics - Theory · Physics 2018-01-17 Mohamed M. Anber , Loïc Vincent-Genod

Using lattice simulations, we study the extent of the conformal window for an SU(3) gauge theory with N_f Dirac fermions in the fundamental representation. We extend our recently reported work, describing the general framework and the…

High Energy Physics - Phenomenology · Physics 2010-04-21 Thomas Appelquist , George T. Fleming , Ethan T. Neil

We study the infrared (IR) structure of $SU(N) \times U(1)$ (QCD $\times$ QED) gauge theory with $n_f$ quarks and $n_l$ leptons within the framework of perturbation theory. In particular, we unravel the IR structure of the form factors and…

High Energy Physics - Phenomenology · Physics 2024-05-17 A. H. Ajjath , Pooja Mukherjee , V. Ravindran

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

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

We study properties of asymptotically free vectorial gauge theories with gauge groups $G={\rm SO}(N_c)$ and $G={\rm Sp}(N_c)$ and $N_f$ fermions in a representation $R$ of $G$, at an infrared (IR) zero of the beta function, $\alpha_{IR}$,…

High Energy Physics - Theory · Physics 2017-11-29 Thomas A. Ryttov , Robert Shrock

Four fermion interactions appear in many models of Beyond Standard Model physics. In Technicolour and composite Higgs models Standard Model fermion masses can be generated by four fermion terms. They are also expected to modify the dynamics…

High Energy Physics - Lattice · Physics 2016-11-03 Jarno Rantaharju , Vincent Drach , Claudio Pica , Francesco Sannino

In this work we present the results of our investigation of \su{2} gauge theory with two Dirac fermions in the adjoint representation (aQCD2), which belongs to the class of strongly interacting gauge theories that are of basic interest for…

High Energy Physics - Lattice · Physics 2022-09-13 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

Based on the Ginsparg-Wilson relation, a gauge invariant formulation of electroweak SU(2)xU(1) gauge theory on the lattice is considered. If the hypercharge gauge coupling is turned off in the vacuum sector of the U(1) gauge fields, the…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa , Yoichi Nakayama , Hiroshi Suzuki

We study SU(2) lattice gauge theory with two flavors of Wilson fermion at non-zero chemical potential mu and low temperature on a 8^3x16 system. We identify three regimes along the mu-axis. For mu<~m_pi/2 the system remains in the vacuum…

High Energy Physics - Lattice · Physics 2009-01-07 Simon Hands , Seyong Kim , Jon-Ivar Skullerud

We study the evolution of an asymptotically free vectorial SU($N$) gauge theory from the ultraviolet to the infrared and the resultant phase structure in the general case in which the theory contains fermions transforming according to…

High Energy Physics - Phenomenology · Physics 2014-11-21 Thomas A. Ryttov , Robert Shrock

We present a numerical treatment of a novel non-perturbative lattice regularization of a $1+1d$ $SU(2)$ Chiral Gauge Theory. Our approach follows recent proposals that exploit the newly discovered connection between anomalies and…

High Energy Physics - Lattice · Physics 2017-06-16 Michael DeMarco , Xiao-Gang Wen

We discuss the behavior of two non-supersymmetric chiral SU(N) gauge theories, involving fermions in the symmetric and antisymmetric two-index tensor representations respectively. In addition to global anomaly matching, we employ a recently…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Appelquist , Z. Duan , F. Sannino

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

We study the global symmetries of SU(2) gauge theory with N flavors of staggered fermions in the presence of a chemical potential. We motivate the special interest of the case N=1 (staggered) with fermions in the adjoint representation of…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , Istvan Montvay , Manfred Oevers , Luigi Scorzato , Jonivar Skullerud

We present an SU(2) gauge theory of fluctuating stripe order in the two-dimensional Hubbard model. The theory is based on a fractionalization of the electron operators in fermionic chargons with a pseudospin degree of freedom, and charge…

Strongly Correlated Electrons · Physics 2026-05-08 Henrik Müller-Groeling , Pietro M. Bonetti , Paulo Forni , Walter Metzner