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With the long term perspective of using quantum computers and tensor networks for lattice gauge theory simulations, an efficient method of digitizing gauge group elements is needed. We thus present our results for a handful of…

High Energy Physics - Lattice · Physics 2022-12-20 Tobias Hartung , Timo Jakobs , Karl Jansen , Johann Ostmeyer , Carsten Urbach

We exactly rewrite the Z(2) lattice gauge theory with standard plaquette action as a random surface model equivalent to the untruncated set of its strong coupling graphs. By extending the worm approach applied to spin models we simulate…

High Energy Physics - Lattice · Physics 2015-06-12 Tomasz Korzec , Ulli Wolff

Improved staggered fermion formulations are a popular choice for lattice QCD calculations. Historically, the algorithm used for such calculations has been the inexact R algorithm, which has systematic errors that only vanish as the square…

High Energy Physics - Lattice · Physics 2008-11-26 M. A. Clark , A. D. Kennedy

The methods of lattice gauge theory may be applied to gauge theories besides QCD, in fact to any gauge group and any representation of matter fields (as long as the coupling is not chiral). Such theories are useful for model building beyond…

High Energy Physics - Lattice · Physics 2010-02-25 Benjamin Svetitsky

We enable the automatic construction of Hybrid Monte Carlo (HMC) forces in lattice gauge theory by performing reverse-mode automatic differentiation at the level of optimized LLVM intermediate representation, making the approach applicable…

High Energy Physics - Lattice · Physics 2026-02-25 Yuki Nagai , Akio Tomiya , Hiroshi Ohno

We explore gauge actions for lattice QCD, which are constructed such that the occurrence of small plaquette values is strongly suppressed. By choosing strong bare gauge couplings we arrive at values for the physical lattice spacings of…

High Energy Physics - Lattice · Physics 2009-11-11 W. Bietenholz , K. Jansen , K. -I. Nagai , S. Necco , L. Scorzato , S. Shcheredin

We discuss the results obtained by fitting the lattice data of the gauge-invariant field strength correlators in QCD with some particular functions which are commonly used in the literature in some phenomenological approaches to high-energy…

High Energy Physics - Phenomenology · Physics 2009-10-31 Enrico Meggiolaro

We explore the possibility of computing fermionic correlators on the lattice by combining a domain decomposition with a multi-level integration scheme. The quark propagator is expanded in series of terms with a well defined hierarchical…

High Energy Physics - Lattice · Physics 2016-05-18 Marco Cè , Leonardo Giusti , Stefan Schaefer

Symplectic gauge theories coupled to matter fields lead to symmetry enhancement phenomena that have potential applications in such diverse contexts as composite Higgs, top partial compositeness, strongly interacting dark matter, and…

Hamiltonian Monte Carlo (HMC) is a state-of-the-art Markov chain Monte Carlo sampling algorithm for drawing samples from smooth probability densities over continuous spaces. We study the variant most widely used in practice, Metropolized…

Machine Learning · Statistics 2021-01-12 Yuansi Chen , Raaz Dwivedi , Martin J. Wainwright , Bin Yu

A systematic way to constructing optimized interpolating operators strongly coupled to QCD two-particle states is developed, which is achieved by incorporating inter-hadron spatial wavefunctions. To efficiently implement these operators in…

High Energy Physics - Lattice · Physics 2025-07-15 Yan Lyu , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Kotaro Murakami , Takuya Sugiura

Monte Carlo (MC) simulations are extensively used for various purposes in modern high-energy physics (HEP) experiments. Precision measurements of established Standard Model processes or searches for new physics often require the collection…

Data Analysis, Statistics and Probability · Physics 2022-06-15 Karl Ehataht , Christian Veelken

We study lattice QCD with two flavors of dynamical domain wall quarks. With renormalization group motivated actions, we find chiral symmetry can be preserved to a high degree at lattice cut off of a^{-1} \sim 2 GeV even for fifth dimension…

High Energy Physics - Lattice · Physics 2015-06-25 Taku Izubuchi , RBC Collaboration

We present an ab initio study of inclusive semileptonic decays of heavy mesons from lattice QCD. Our approach is based on a recently proposed method, that allows one to address the study of these decays from the analysis of smeared spectral…

We present a new framework to derandomise certain Markov chain Monte Carlo (MCMC) algorithms. As in MCMC, we first reduce counting problems to sampling from a sequence of marginal distributions. For the latter task, we introduce a method…

Data Structures and Algorithms · Computer Science 2023-04-05 Weiming Feng , Heng Guo , Chunyang Wang , Jiaheng Wang , Yitong Yin

Smearing the bare quantum fields in lattice calculations before applying composite hadron creation operators has a long record of substantially improving overlaps onto low-lying energy eigenstates. A technique called distillation which…

High Energy Physics - Lattice · Physics 2022-11-15 Francesco Knechtli , Tomasz Korzec , Michael Peardon , Juan Andrés Urrea-Niño

We present a hybrid lattice Hamiltonian truncation method that integrates the numerical renormalization group (NRG) with a truncated lattice integrable spectrum. The technique is tailored for generic deformations of integrable lattice…

Strongly Correlated Electrons · Physics 2025-11-18 Xiaodong He , Xiao Wang , Jianda Wu

We show how the integrators used for the molecular dynamics step of the Hybrid Monte Carlo algorithm can be further improved. These integrators not only approximately conserve some Hamiltonian $H$ but conserve exactly a nearby shadow…

High Energy Physics - Lattice · Physics 2015-05-30 M. A. Clark , Bálint Joó , A. D. Kennedy , P. J. Silva

The Hubbard model is an important tool to understand the electrical properties of various materials. More specifically, on the honeycomb lattice it is used to describe graphene predicting a quantum phase transition from a semimetal to a…

Strongly Correlated Electrons · Physics 2023-03-31 Johann Ostmeyer

Variational minimization of tensor network states enables the exploration of low energy states of lattice gauge theories. However, the exact numerical evaluation of high-dimensional tensor network states remains challenging in general. In…

Quantum Physics · Physics 2020-10-12 Patrick Emonts , Mari Carmen Bañuls , J. Ignacio Cirac , Erez Zohar