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Addressing general measurements in quantum Monte Carlo. [PDF]
Wang Z, Liu Z, Mao BB, Wang Z, Yan Z.
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Automated Machine Learning Pipeline: Large Language Models-Assisted Automated Data set Generation for Training Machine-Learned Interatomic Potentials. [PDF]
Lahouari A, Rogal J, Tuckerman ME.
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Gapless fracton quantum spin liquid and emergent photons in a 2D spin-1 model
Niggemann N +3 more
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Lattice fractional quantum field theory: Exact differences approach
Modern Physics Letters A, 2020An approach, which is based on exact fractional differences, is used to formulate a lattice fractional field theories on unbounded lattice spacetime. An exact discretization of differential and integral operators of integer and non-integer orders is suggested.
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Quantum Field Theory (QFT) on the Lattice
2016In 1964, Gell-Mann [1] and Zweig [2] proposed that hadrons, the particles which experience strong interactions, are made of quarks. Quarks are confined within hadrons and never seen in isolation. Electron-nucleon scattering experiments at large momentum transfer could be explained by assuming the nucleon is made of almost-free point-like constituents ...
Francesco Knechtli +2 more
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Lattice Boltzmann method for quantum field theory
Journal of Physics A: Mathematical and Theoretical, 2007It is shown that a (1 + 1)-dimensional lattice Boltzmann discretization of the Klein–Gordon and Dirac equations complies with equal-time-commutation-relations. As a result, the lattice Boltzmann discretization leads to a consistent lattice formulation of the quantum field theory in 1 + 1 dimensions.
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Scattering and Bound States in Euclidean Lattice Quantum Field Theories
Annales Henri Poincaré, 2001The problem of asymptotic completeness (AC) is the question whether all pure states can be interpreted in terms of scattering states of particles. The authors study here the two-body AC in massive Euclidean lattice quantum field theories. Schwinger \(n\)-point functions \(S_n(x_1,\dots, x_n)\), \(x_i\in \mathbb{Z}^{d+1}\) with \(d\geq 1\), and Bethe ...
Auil, F., Barata, J. C. A.
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Lower bounds for quantum Hamiltonians in lattice field theories
Physical Review D, 1978A method for approximately including quantum effects on the solution to lattice field theories is presented. The formalism is an extension of the semiquantum approximation of Sachrajda, Weldon, and Blankenbecler to obtain lower bounds for quantum Hamiltonians. This approach yields classical-like equations in which the effects of quantum fluctuations is
Richard Blankenbecler, Jose R. Fulco
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