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Related papers: Lattice QCD in curved spacetimes

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The lattice formulation of quantum gravity provides a natural framework in which non-perturbative properties of the ground state can be studied in detail. In this paper we investigate how the lattice results relate to the continuum…

High Energy Physics - Theory · Physics 2009-11-10 Herbert W. Hamber , Ruth M. Williams

Hybrid classical-quantum algorithms aim at variationally solving optimisation problems, using a feedback loop between a classical computer and a quantum co-processor, while benefitting from quantum resources. Here we present experiments…

In recent years simulations of chemistry and condensed materials has emerged as one of the preeminent applications of quantum computing, offering an exponential speedup for the solution of the electronic structure for certain strongly…

Quantum Physics · Physics 2022-01-19 Torin F. Stetina , Anthony Ciavarella , Xiaosong Li , Nathan Wiebe

Motivated by the study of extreme mass-ratio binary systems, recent work has explored the use of curved backgrounds in computations of classical gravitational amplitudes [arXiv:2308.15304, arXiv:2308.14832, arXiv:2406.14770]. While these…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Carl Jordan Eriksen

Lattice field theory, along with its algorithmic and hardware ecosystems, has been at the forefront of computational particle and nuclear physics. It continues to deliver impressive results on the hadronic spectrum, structure, decays, and…

High Energy Physics - Lattice · Physics 2026-05-21 Zohreh Davoudi

We construct an improved version of nonrelativistic QCD for use in lattice simulations of heavy quark physics, with the goal of reducing systematic errors from all sources to below 10\%. We develop power counting rules to assess the…

High Energy Physics - Lattice · Physics 2010-11-01 G. P. Lepage , L. Magnea , C. Nakhleh , U. Magnea , K. Hornbostel

We present preliminary simulation results for QED in a non-commutative 4d space-time, which is discretized to a fuzzy lattice. Its numerical treatment becomes feasible after its mapping onto a dimensionally reduced twisted Eguchi-Kawai…

High Energy Physics - Lattice · Physics 2009-11-10 W. Bietenholz , F. Hofheinz , J. Nishimura , Y. Susaki , J. Volkholz

Using ultracold alkaline-earth atoms in optical lattices, we construct a quantum simulator for U(N) and SU(N) lattice gauge theories with fermionic matter based on quantum link models. These systems share qualitative features with QCD,…

Quantum Gases · Physics 2013-03-26 D. Banerjee , M. Bögli , M. Dalmonte , E. Rico , P. Stebler , U. -J. Wiese , P. Zoller

We have previously presented a version of the Weak Equivalence Principle for a quantum particle as an exact analog of the classical case, based on the Heisenberg picture analysis of free particle motion. Here, we take that to a full…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Otto C. W. Kong

We propose a framework for simulating the real-time dynamics of quantum field theories (QFTs) using continuous-variable quantum computing (CVQC). Focusing on ($1+1$)-dimensional $\varphi^4$ scalar field theory, the approach employs the…

Quantum Physics · Physics 2025-09-03 Steven Abel , Michael Spannowsky , Simon Williams

Soon after the formulation of Quantum Chromodynamics in 1972 its regularization on Euclidean space-time lattices had been introduced by Kenneth Wilson. This paved ground for numerical studies of non-perturbative aspects of QCD, first shown…

High Energy Physics - Lattice · Physics 2022-12-27 Frithjof Karsch

The lattice technique of studying the strong interaction of matter is used to obtain predictions of the hadronic spectrum. These simulations were performed by the UKQCD collaboration using full (unquenched) QCD. Details of the results, a…

High Energy Physics - Lattice · Physics 2009-10-31 C. R. Allton

Lattice QCD allows us to simulate QCD at non-zero temperature and/or densities. Such equilibrium thermodynamics calculations are relevant to the physics of relativistic heavy-ion collisions. I give a brief review of the field with emphasis…

High Energy Physics - Lattice · Physics 2017-08-23 D. K. Sinclair

We explore a new way to simulate quantum field theory, without introducing a spatial lattice. As a pilot study we apply this method to the 3d \lambda \phi^4 model. The regularisation consists of a fuzzy sphere with radius R for the two…

High Energy Physics - Lattice · Physics 2007-05-23 Julieta Medina , Wolfgang Bietenholz , Frank Hofheinz , Denjoe O'Connor

Quantum mechanics in its presently known formulation requires an external classical time for its description. A classical spacetime manifold and a classical spacetime metric are produced by classical matter fields. In the absence of such…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. P. Singh

Using the Cartan formulation of General Relativity, we construct a well defined lattice-regularized theory capable to describe large non-perturbative quantum fluctuations of the frame field (or the metric) and of the spin connection. To…

High Energy Physics - Theory · Physics 2011-09-02 Dmitri Diakonov

The interrelation between quantum anomalies and electromagnetic fields leads to a series of non-dissipative transport effects in QCD. In this work we study anomalous transport phenomena with lattice QCD simulations using improved staggered…

High Energy Physics - Lattice · Physics 2022-12-06 Bastian B. Brandt , Francesca Cuteri , Gergely Endrődi , Eduardo Garnacho Velasco , Gergely Markó

We consider a quantum test particle in the background of a Newtonian gravitational field in the framework of Cartan's formulation of nonrelativistic spacetimes. We have proposed a novel quantization of a point particle which amounts to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piret Kuusk

Born-Infeld non-linear electrodynamics was introduced to render the self energy of a point particle finite. It has recently been revived as a field theory for branes and strings. We quantize this theory on a Euclidean space-time lattice,…

High Energy Physics - Lattice · Physics 2016-09-01 D. K. Sinclair , J. B. Kogut