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Gauge theories with fermions in adjoint and fundamental representations are relevant for many different applications including composite Higgs models and general aspects of the confinement problem. We present first results from simulations…

高能物理 - 格点 · 物理学 2021-12-01 Georg Bergner , Stefano Piemonte

I give an elementary introduction to the study of gauge theories coupled to fermions with many degrees of freedom. Besides their intrinsic interest, these theories are candidates for nonperturbative extensions of the Higgs sector of the…

高能物理 - 格点 · 物理学 2015-05-20 Thomas DeGrand

Fermions on a cylinder coupled to gravity and gauge fields are examined by studying the geometric action associated with the symmetries of such a system. The gauge coupling constant is shown to be constrained and the effect of gravity on…

高能物理 - 理论 · 物理学 2009-10-28 R. P. Lano , V. G. J. Rodgers

Strongly-coupled gauge theories are an important ingredient in the construction of many extensions of the standard model, particularly for models of electroweak symmetry breaking in which the Higgs boson is a composite object. There is a…

高能物理 - 格点 · 物理学 2012-05-22 Ethan T. Neil

Large N gauge theories with adjoint matter can be numerically studied using lattice techniques. Eguchi-Kawai reductions holds for this theory and one can reduce the lattice model to a single site. Hybrid Monte Carlo algorithm can be used to…

高能物理 - 格点 · 物理学 2015-03-19 R. Narayanan

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present the implementation of the RHMC algorithm for simulating dynamical Wilson fermions. A first dataset is presented…

高能物理 - 格点 · 物理学 2010-01-21 Luigi Del Debbio , Agostino Patella , Claudio Pica

Strongly coupled gauge theories provide an ultra-violet realization of new physics models for physics beyond the Standard Model of particle physics arising from composite dynamics. Depending on the gauge group and matter content, they are…

高能物理 - 格点 · 物理学 2024-10-31 Jong-Wan Lee

Lattice gauge theory is an important framework for studying gauge theories that arise in the Standard Model and condensed matter physics. Yet many systems (or regimes of those systems) are difficult to study using conventional techniques,…

高能物理 - 格点 · 物理学 2026-04-09 Ariel Kelman , Umberto Borla , Patrick Emonts , Erez Zohar

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying quantum field theories, and has led to impressive achievements. In particular, it significantly deepened our understanding of quantum…

高能物理 - 格点 · 物理学 2020-10-16 Mari Carmen Bañuls , Krzysztof Cichy

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…

强关联电子 · 物理学 2017-11-07 Christian Prosko , Shu-Ping Lee , Joseph Maciejko

In this article we summarize our efforts in simulating Yang-Mills theories coupled to matter fields transforming under the fundamental and adjoint representations of the gauge group. In the context of composite Higgs scenarios, gauge…

高能物理 - 格点 · 物理学 2021-01-13 Georg Bergner , Stefano Piemonte

Lattice gauge theories describe fundamental phenomena in nature, but calculating their real-time dynamics on classical computers is notoriously difficult. In a recent publication [Nature 534, 516 (2016)], we proposed and experimentally…

The fermion-sign problem at finite density is a persisting challenge for Monte-Carlo simulations. Theories that do not have a sign problem can provide valuable guidance and insight for physically more relevant ones that do. Replacing the…

高能物理 - 格点 · 物理学 2013-01-10 Axel Maas , Lorenz von Smekal , Björn Wellegehausen , Andreas Wipf

An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study the spectrum of this theory and present…

高能物理 - 格点 · 物理学 2009-05-12 Ari J. Hietanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

The QCD-like gauge theory with adjoint fermions is considered in the field correlator formalism and the total spectrum of mesons and glueballs is obtained in agreement with available lattice data. A new state of a white fermion appears, as…

高能物理 - 唯象学 · 物理学 2014-01-29 Yu. A. Simonov

We propose a minimal model to study the real-time dynamics of a $\mathbb{Z}_2$ lattice gauge theory coupled to fermionic matter in a cold atom quantum simulator setup. We show that dynamical correlators of the gauge fields can be measured…

量子气体 · 物理学 2018-08-29 Adam Smith , Dmitry L. Kovrizhin , Roderich Moessner , Johannes Knolle

Theories of interacting gauge fields and fermions can possess a running gauge coupling with an infrared attractive fixed point (IRFP). We present a minimal description of the physics of these systems and comment on some simple expectations…

高能物理 - 格点 · 物理学 2009-09-02 Thomas DeGrand , Anna Hasenfratz

We summarize our recent work on gauge theories with two flavors of fermions in the two-index symmetric representation: SU(2) gauge theory with adjoint fermions, SU(3) with sextets, and SU(4) with ten-dimensional-representation fermions. All…

高能物理 - 格点 · 物理学 2011-11-02 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at…

高能物理 - 格点 · 物理学 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behavior of elementary particles to the physics of electrons in solids. Most of our understanding of many-body systems comes from…

量子气体 · 物理学 2016-09-16 M. Dalmonte , S. Montangero
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