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Several collaborations have recently performed lattice calculations aimed specifically at dark matter, including work with SU(2), SU(3), SU(4) and SO(4) gauge theories to represent the dark sector. Highlights of these studies are presented…

High Energy Physics - Lattice · Physics 2014-12-01 Randy Lewis

We investigate simulations for gauge theories on a Minkowskian space-time lattice. We employ stochastic quantization with optimized updating using stochastic reweighting or gauge fixing, respectively. These procedures do not affect the…

High Energy Physics - Lattice · Physics 2008-11-26 J. Berges , D. Sexty

Due to rapidly improving quantum computing hardware, Hamiltonian simulations of relativistic lattice field theories have seen a resurgence of attention. This computational tool requires turning the formally infinite-dimensional Hilbert…

High Energy Physics - Phenomenology · Physics 2023-07-25 Christian W. Bauer , Irian D'Andrea , Marat Freytsis , Dorota M. Grabowska

SU(2) lattice gauge theory with four flavors of quarks is simulated at nonzero chemical potential mu and temperature T and the results are compared to the predictions of Effective Lagrangians. Simulations on 16^4 lattices indicate that at…

High Energy Physics - Lattice · Physics 2009-11-07 John B. Kogut

A recently introduced approach for the dynamical analysis and quantization of field theoretical models with second class constraints is ilustrated applied to linearized gravity in 3-D. The canonical structure of two different models of…

High Energy Physics - Theory · Physics 2009-10-28 Pio Jose Arias y Jorge Stephany

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 $Z(2)$…

High Energy Physics - Lattice · Physics 2015-09-03 Roman Höllwieser , Michael Engelhardt

We study the equation of state of three-dimensional compact U(1) gauge theory on the lattice by means of numerical simulations, and discuss the implications of our results for the spectrum of the theory, in connection with previous results…

High Energy Physics - Lattice · Physics 2025-03-21 Michele Caselle , Alessandro Mariani , Marco Panero , Antonio Smecca

We calculate the masses of the lowest lying eigenstates of improved SU(2), SU(3), SU(4) and SU(5) Hamiltonian lattice gauge theory (LGT) in 2+1 dimensions using an analytic variational approach. The ground state is approximated by a one…

High Energy Physics - Lattice · Physics 2009-11-10 Jesse Carlsson , Bruce H. J. McKellar

The Laplacian gauge is a nonperturbative gauge fixing that reduces to Landau gauge in the asymptotic limit. Like Landau gauge, it respects Lorentz invariance, but it is free of Gribov copies; the gauge fixing is unambiguous. In this paper…

High Energy Physics - Lattice · Physics 2010-03-04 P. O. Bowman , U. M. Heller , D. B. Leinweber , A. G. Williams

Lattice simulation of supersymmetric gauge theories is not straightforward. In some cases the lack of manifest supersymmetry just necessitates cumbersome fine-tuning, but in the worse cases the chiral and/or Majorana nature of fermions…

High Energy Physics - Lattice · Physics 2008-11-26 Masanori Hanada , Jun Nishimura , Shingo Takeuchi

Quantum computers offer the possibility to implement lattice gauge theory in Minkowski rather than Euclidean spacetime, thus allowing calculations of processes that evolve in real time. In this work, calculations within SU(2) pure gauge…

High Energy Physics - Lattice · Physics 2022-10-17 Sarmed A Rahman , Randy Lewis , Emanuele Mendicelli , Sarah Powell

Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter or quantum information theory. The recent progress in the control of artificial quantum systems already allows for studying Abelian lattice…

Quantum Physics · Physics 2021-06-30 Valentin Kasper , Torsten V. Zache , Fred Jendrzejewski , Maciej Lewenstein , Erez Zohar

We present a comprehensive discussion on lattice techniques for the simulation of scalar and gauge field dynamics in an expanding universe. After reviewing the continuum formulation of scalar and gauge field interactions in Minkowski and…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-08 Daniel G. Figueroa , Adrien Florio , Francisco Torrenti , Wessel Valkenburg

We describe an application of the linear $\de$-expansion to the calculation of correlation functions in SU(2)-Higgs lattice gauge theory. A significant advantage of the technique is that an infinite volume lattice may be used, allowing the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Evans , H. F. Jones , A. Ritz

Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information technologies. While one long-term goal is the…

We present a new implementation of the Fourier acceleration method for Landau gauge fixing. By means of a multigrid inversion we are able to avoid the use of the fast Fourier transform. This makes the method more flexible, and well suited…

High Energy Physics - Lattice · Physics 2009-12-30 A. Cucchieri , T. Mendes

Spontaneous symmetry breaking has been observed in lattice simulations of five-dimensional gauge theories on an orbifold. This effect is reproduced by perturbation theory if it is modified to account for a finite cut-off. We present a…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Knechtli , N. Irges , M. Luz

We discuss global gauge fixing on the lattice, specifically to the lattice Landau gauge, with the goal of understanding the question of why the process becomes extremely slow for large lattices. We construct an artificial "gauge-fixing"…

High Energy Physics - Lattice · Physics 2007-05-23 Jeffrey E. Mandula

We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a…

High Energy Physics - Lattice · Physics 2015-06-25 Attilio Cucchieri , Tereza Mendes , Daniel Zwanziger

A single-parameter family of covariant gauge fixing conditions in bosonic string field theory is proposed. It is a natural string field counterpart of the covariant gauge in the conventional gauge theory, which includes the Landau gauge as…

High Energy Physics - Theory · Physics 2008-11-26 Masako Asano , Mitsuhiro Kato