Quantum mean estimation for lattice field theory
We demonstrate the quantum mean estimation algorithm on Euclidean lattice field theories. This shows a quadratic advantage over Monte Carlo methods which persists even in presence of a sign problem, and is insensitive to critical slowing down. The algorithm is used to compute $π$ with and without a sign problem, a toy U(1) gauge theory model, and the ...
Erik J. Gustafson+2 more
openaire +2 more sources
The continuum and leading twist limits of parton distribution functions in lattice QCD
In this study, we present continuum limit results for the unpolarized parton distribution function of the nucleon computed in lattice QCD. This study is the first continuum limit using the pseudo-PDF approach with Short Distance Factorization for ...
Joseph Karpie+4 more
doaj +1 more source
Accelerating Lattice Quantum Field Theory Calculations via Interpolator Optimization Using Noisy Intermediate-Scale Quantum Computing. [PDF]
The only known way to study quantum field theories in nonperturbative regimes is using numerical calculations regulated on discrete space-time lattices.
A. Avkhadiev, P. Shanahan, R. Young
semanticscholar +1 more source
Implementing the three-particle quantization condition for π + π + K + and related systems
Recently, the formalism needed to relate the finite-volume spectrum of systems of nondegenerate spinless particles has been derived. In this work we discuss a range of issues that arise when implementing this formalism in practice, provide further ...
Tyler D. Blanton+2 more
doaj +1 more source
Isospin-1/2 Dπ scattering and the lightest D 0 ∗ $$ {D}_0^{\ast } $$ resonance from lattice QCD
Isospin-1/2 Dπ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately (3.6 fm)3 and with a light quark mass corresponding to m π ≈ 239 MeV.
Luke Gayer+6 more
doaj +1 more source
Toward dense QCD in quantum computers [PDF]
Lattice QCD at nonzero baryon density is a big challenge in hadron physics. In this presentation, I discuss the quantum computation of lattice gauge theory at nonzero density. I show some benchmark results of the Schwinger model obtained by the quantum adiabatic algorithm and the quantum variational algorithm.
arxiv +1 more source
Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics [PDF]
Machine-learning-based sampling strategies have been recently developed for lattice quantum chromodynamics applications. These methods are in their early stages, but have the potential to enable currently intractable first-principles calculations in ...
K. Cranmer+4 more
semanticscholar +1 more source
Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a θ term
We make an analysis of the two-dimensional U(1) lattice gauge theory with a θ term by using the tensor renormalization group. Our numerical result for the free energy shows good consistency with the exact one at finite coupling constant.
Yoshinobu Kuramashi, Yusuke Yoshimura
doaj +1 more source
More on the flavor dependence of m ϱ /f π
In previous work, [ arXiv:1905.01909 ], we have calculated the m ϱ /fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to N f = 2, 3, 4, 5, 6 fermions in the fundamental representation.
Andrey Yu. Kotov+3 more
doaj +1 more source
Nucleon momentum fraction, helicity and transversity from 2+1-flavor lattice QCD
A detailed analysis of the systematic uncertainties in the calculation of the isovector momentum fraction, 〈x〉 u − d , helicity moment, 〈x〉Δu − Δd , and the transversity moment, 〈x〉 δu − δd , of the nucleon is presented using high-statistics data on ...
Nucleon Matrix Elements (NME) collaboration+7 more
doaj +1 more source