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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…

高能物理 - 格点 · 物理学 2015-06-19 Anosh Joseph

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.…

高能物理 - 格点 · 物理学 2013-09-25 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We present a method to smear (center projected) $Z(2)$ vortices in lattice gauge configurations such as to embed vortex physics into a full $SU(2)$ gauge configuration framework. In particular, we address the problem that using $Z(2)$…

高能物理 - 格点 · 物理学 2015-09-03 Roman Höllwieser , Michael Engelhardt

We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling techniques, for a large class of time-dependent…

高能物理 - 唯象学 · 物理学 2014-08-12 Valentin Kasper , Florian Hebenstreit , Jürgen Berges

Lattice gauge theory is an essential tool for strongly interacting non-Abelian fields, such as those in quantum chromodynamics where lattice results have been of central importance for several decades. Recent studies suggest that quantum…

高能物理 - 格点 · 物理学 2021-08-18 Sarmed A Rahman , Randy Lewis , Emanuele Mendicelli , Sarah Powell

In gauge theories the field configurations often occur in distinct topological sectors. In a lattice regularised system with chiral fermions, these sectors can be defined by referring to the Atiyah-Singer Index Theorem. However, if such a…

高能物理 - 格点 · 物理学 2015-06-04 Wolfgang Bietenholz , Ivan Hip

We study the Hamiltonian formulation of SU(2) Yang-Mills theory with staggered fermions in a (2+1)-dimensional small lattice system. We construct a gauge-invariant and finite-dimensional Hilbert space for the theory by applying the…

高能物理 - 格点 · 物理学 2025-04-17 Zhen-Xuan Yang , Hidefumi Matsuda , Xu-Guang Huang , Kouji Kashiwa

Staggered fermion shift symmetries correspond to translations of the fermion field within the unit cell of a hypercubic lattice. They satisfy an algebra and in four Euclidean dimensions can be related to a discrete subgroup of an $SU(4)$…

高能物理 - 格点 · 物理学 2024-10-08 Simon Catterall , Arnab Pradhan

We introduce a method for quantum simulation of U$(1)$ lattice gauge theories coupled to matter, utilizing alkaline-earth(-like) atoms in state-dependent optical lattices. The proposal enables the study of both gauge and fermionic-matter…

We numerically simulate a non-Abelian lattice gauge theory in two spatial dimensions, with tensor networks (TN), up to intermediate sizes (>30 matter sites) well beyond exact diagonalization. We focus on the SU(2) Yang-Mills model in…

高能物理 - 格点 · 物理学 2024-07-15 Giovanni Cataldi , Giuseppe Magnifico , Pietro Silvi , Simone Montangero

In order to investigate the features of the classical approximation at high temperatures for real time correlation functions, the plasmon frequencies and damping rates were recently computed numerically in the SU(2)+Higgs model and in the…

高能物理 - 唯象学 · 物理学 2009-10-30 D. Bodeker , M. Laine

The Lattice Strong Dynamics collaboration is investigating the properties of a SU(3) gauge theory with $N_f = 8$ light fermions on the lattice. We measure the masses of the lightest pseudoscalar, scalar and vector states using simulations…

高能物理 - 格点 · 物理学 2019-08-13 Enrico Rinaldi

I describe studies of quenched spectroscopy, using crude approximations to fixed point actions for fermions interacting with SU(3) gauge fields. These actions have a hypercubic kinetic term and a complicated lattice anomalous magnetic…

高能物理 - 格点 · 物理学 2009-10-30 T. DeGrand

I construct a Lattice Gauge Theory (LGT) with discrete Z_2 structure group and an equivariant BRST symmetry that is physically equivalent to the standard SU(2)-LGT. The measure of this Z_2-LGT is invariant under all the discrete symmetries…

高能物理 - 格点 · 物理学 2016-08-25 Martin Schaden

We investigate lattice simulations of scalar and nonabelian gauge fields in Minkowski space-time. For SU(2) gauge-theory expectation values of link variables in 3+1 dimensions are constructed by a stochastic process in an additional (5th)…

高能物理 - 格点 · 物理学 2008-11-26 J. Berges , Sz. Borsanyi , D. Sexty , I. -O. Stamatescu

In this work we present the results of our investigation about the thermodynamics of SU(2) gauge theory. We employ a Symanzik improved action to reduce strongly the discretisations effects, and we use the scaling relations to take into…

高能物理 - 格点 · 物理学 2017-12-05 Pietro Giudice , Stefano Piemonte

In an SU(2) lattice gauge theory with a Z2 orbifolded extra dimension, the new symmetry which is called as a stick symmetry is useful in understanding the bulk transition. We discuss the relation with the Fradkin-Shenker's phase diagram as…

高能物理 - 格点 · 物理学 2010-12-14 Michika Murata , Hiroto So , Kazunori Takenaga

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 use lattice simulations to study the single-site version of SU(N) lattice gauge theory with two flavors of Wilson-Dirac fermions in the adjoint representation, a theory whose large volume correspondent is expected to be conformal or…

高能物理 - 格点 · 物理学 2013-05-30 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

We analyze the large-N behavior of SU(N) lattice gauge theories with adjoint fermions by studying volume-reduced models, as pioneered by Eguchi and Kawai. We perform simulations on a single-site lattice for Nf = 1 and Nf = 2 Wilson Dirac…

高能物理 - 格点 · 物理学 2012-12-04 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe