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The question of how to efficiently formulate Hamiltonian gauge theories is experiencing renewed interest due to advances in building quantum simulation platforms. We introduce a reformulation of an SU(2) Hamiltonian lattice gauge theory---a…

High Energy Physics - Lattice · Physics 2020-06-26 Indrakshi Raychowdhury , Jesse R. Stryker

A major driver of quantum-simulator technology is the prospect of probing high-energy phenomena in synthetic quantum matter setups at a high level of control and tunability. Here, we propose an experimentally feasible realization of a…

Quantum Gases · Physics 2025-07-22 Jesse Osborne , Ian P. McCulloch , Bing Yang , Philipp Hauke , Jad C. Halimeh

Over the past few years new physics methods and algorithms as well as the latest supercomputers have enabled the study of the QCD thermodynamic phase transition using lattice gauge theory numerical simulations with unprecedented control…

High Energy Physics - Lattice · Physics 2015-10-28 R. A. Soltz , C. DeTar , F. Karsch , Swagato Mukherjee , P. Vranas

Lattice gauge theory was formulated by Kenneth Wilson in 1974. In the ensuing decades, improvements in actions, algorithms, and computers have enabled tremendous progress in QCD, to the point where lattice calculations can yield sub-percent…

High Energy Physics - Lattice · Physics 2016-07-01 Steven Gottlieb

Using holography, we study the low-lying mesonic spectrum of a range of asymptotically free gauge theories. First we revisit a simple top-down holographic model of QCD-like dynamics with predictions in the M_rho-M_pi plane. The meson masses…

High Energy Physics - Phenomenology · Physics 2015-04-08 Johanna Erdmenger , Nick Evans , Marc Scott

Lattice QCD calculations of two-nucleon interactions have been underway for about a decade, but still haven't reached the pion mass regime necessary for matching onto effective field theories and extrapolating to the physical point.…

It is shown that quantum nucleardynamics (QND) as an SU(2)_N \times U(1)_Z gauge theory, which is generated from quantum chromodynamics (QCD) as an SU(3)_C gauge theory through dynamical spontaneous symmetry breaking, successfully describes…

High Energy Physics - Phenomenology · Physics 2007-05-23 Heui-Seol Roh

The Fermi-Hubbard model is one of the central paradigms in the physics of strongly-correlated quantum many-body systems. Here we propose a quantum circuit algorithm based on the $\mathrm{Z}_2$ lattice gauge theory (LGT) representation of…

Quantum Physics · Physics 2023-11-09 Uliana E. Khodaeva , Dmitry L. Kovrizhin , Johannes Knolle

A Quantum Cellular Automaton (QCA) is essentially an operator driving the evolution of particles on a lattice, through local unitaries. Because $\Delta_t=\Delta_x = \epsilon$, QCAs constitute a privileged framework to cast the digital…

Quantum Physics · Physics 2026-01-21 Dogukan Bakircioglu , Pablo Arnault , Pablo Arrighi

This is a pedagogical review of the lattice study of finite density QCD, which is intended to provide the minimum necessary contents, so that the paper may be used as the first reading for a newcomer to the field and also for those working…

High Energy Physics - Lattice · Physics 2009-11-10 Shin Muroya , Atsushi Nakamura , Chiho Nonaka , Tetsuya Takaishi

We present the computation of invariants that arise in the strong coupling expansion of lattice QCD. These invariants are needed for Monte Carlo simulations of Lattice QCD with staggered fermions in a dual, color singlet representation.…

High Energy Physics - Lattice · Physics 2018-04-18 Giuseppe Gagliardi , Jangho Kim , Wolfgang Unger

Volume modifications to the binding of two-body systems in large cubic volumes of extent L depend upon the total momentum and exponentially upon the ratio of L to the size of the boosted system. Recent work by Bour et al determined the…

High Energy Physics - Lattice · Physics 2013-05-29 Zohreh Davoudi , Martin J. Savage

We present the first lattice QCD calculation of the universal axial $\gamma W$-box contribution $\square_{\gamma W}^{VA}$ to both superallowed nuclear and neutron beta decays. This contribution emerges as a significant component within the…

High Energy Physics - Lattice · Physics 2024-04-19 Peng-Xiang Ma , Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Keh-Fei Liu , Chien-Yeah Seng , Bi-Geng Wang , Zhao-Long Zhang

We present a method of simulating lattice QCD at nonzero chemical potential in the chiral limit. By adding a weak four-fermi interaction to the standard staggered fermion SU(3) QCD action, we produce an algorithm in which the limit of…

High Energy Physics - Lattice · Physics 2009-10-28 I. M. Barbour , S. E. Morrison , John B. Kogut

In this work we outline a program for lattice QCD that would provide a first step toward understanding the strong and weak interactions of strange baryons. The study of hypernuclear physics has provided a significant amount of information…

Nuclear Theory · Physics 2014-11-18 S. R. Beane , P. F. Bedaque , A. Parreno , M. J. Savage

Quantum simulations of Lattice Gauge Theories (LGTs) are often formulated on an enlarged Hilbert space containing both physical and unphysical sectors in order to retain a local Hamiltonian. We provide simple fault-tolerant procedures that…

Quantum Physics · Physics 2022-11-21 Abhishek Rajput , Alessandro Roggero , Nathan Wiebe

Exploration of the QCD phase diagram is pivotal in particle and nuclear physics. We construct a full four-dimensional equation of state of QCD with net baryon, electric charge, and strangeness by extending the NEOS model beyond the…

Nuclear Theory · Physics 2025-03-06 Akihiko Monnai , Grégoire Pihan , Björn Schenke , Chun Shen

Quantum double models, such as the toric code, can be constructed from transfer matrices of lattice gauge theories with discrete gauge groups and parametrized by the center of the gauge group algebra and its dual. For general choices of…

I review present challenges that QCD in extreme environments presents to lattice gauge theory. Recent data and impressions from RHIC are emphasized. Physical pictures of heavy ion wavefunctions, collisions and the generation of the Quark…

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

We investigate quantum chromodynamics with two colors at nonvanishing density using Dyson-Schwinger equations. Lattice methods do not have a complex action problem in this theory. Thus, we can benchmark our results and the effect of…

High Energy Physics - Phenomenology · Physics 2020-01-29 Romain Contant , Markus Q. Huber
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