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Solving the Hubbard model with neural quantum states. [PDF]
Gu Y +11 more
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Tuning Competing Electronic Phases in Monolayer VSe2 via Interface Hybridization. [PDF]
Pushkarna I +4 more
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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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MCMC and Quantum Field Theories on a Lattice
2020We can consider relativistic quantum field theory as the quantum mechanics of fields defined on a spacetime. A field has infinite number of degrees of freedom since it can take a value at every point in spacetime.
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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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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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Critical aspects of quantum field theories on the lattice
2008Dottorato di ricerca in Fisica XXI ...
Gravina, Mario +2 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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A quantum field theory of melting and lattice dynamics
Physica A: Statistical Mechanics and its Applications, 1986Abstract The melting and the lattice dynamics are investigated from the view-point of a quantum field theory at finite temperature (thermo field theory). Our theory starts with ion cores and valence electrons interacting with each other as the first principle.
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