Applications of Machine Learning to Lattice Quantum Field Theory
10 pages, contribution to Snowmass ...
Denis Boyda +10 more
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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
Quantum field theory on a growing lattice [PDF]
We construct the classical and canonically quantized theories of a massless scalar field on a background lattice in which the number of points--and hence the number of modes--may grow in time. To obtain a well-defined theory certain restrictions must be imposed on the lattice.
Foster, Brendan Z., Jacobson, Ted
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Relativistic N-particle energy shift in finite volume
We present a general method for deriving the energy shift of an interacting system of N spinless particles in a finite volume. To this end, we use the nonrelativistic effective field theory (NREFT), and match the pertinent low-energy constants to the ...
Fernando Romero-López +3 more
doaj +1 more source
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
Learning lattice quantum field theories with equivariant continuous flows
We propose a novel machine learning method for sampling from the high-dimensional probability distributions of Lattice Field Theories, which is based on a single neural ODE layer and incorporates the full symmetries of the problem. We test our model on the \phi^4
Gerdes, M. +4 more
openaire +5 more sources
Taking Particle Physics Seriously: a Critique of the Algebraic Approach to Quantum Field Theory [PDF]
I argue against the currently-prevalent view in philosophy of physics that algebraic quantum field theory (AQFT) is the correct framework for philosophy of quantum field theory and that "conventional" quantum field theory (CQFT), of the sort used in ...
Wallace, David +2 more
core +1 more source
Moments of Ioffe time parton distribution functions from non-local matrix elements
We examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics.
Joseph Karpie +2 more
doaj +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
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Critical 1- and 2-point spin correlations for the O(2) model in 3d bounded domains
We study the critical properties of the 3d O(2) universality class in bounded domains through Monte Carlo simulations of the clock model. We use an improved version of the latter, chosen to minimize finite-size corrections at criticality, with 8 ...
Alessandro Galvani +2 more
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