Effective Field Theories and Quantum Chromodynamics on the Lattice
We give a selection of results on spectrum and decay constants of light and heavy-light hadrons. Effective field theories relevant for their lattice calculation, namely non-relativistic QCD (NRQCD) for heavy quarks on the lattice and Chiral Perturbation Theory for light quarks, are briefly discussed.
A. Ali Khan
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Quantum lattice gas algorithmic representation of gauge field theory [PDF]
Presented is a quantum lattice gas algorithm to efficiently model a system of Dirac particles interacting through an intermediary gauge field. The algorithm uses a fixed qubit array to represent both the spacetime and the particles contained in the ...
J. Yepez
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fcc lattice, checkerboards, fractons, and quantum field theory
Pranay Gorantla +3 more
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Quantum Tetrahedral Mean Field Theory of the Magnetic Susceptibility for the Pyrochlore Lattice [PDF]
A quantum mean field theory of the pyrochlore lattice is presented. The starting point is not the individual magnetic ions, as in the usual Curie-Weiss mean field theory, but a set of interacting corner sharing tetrahedra. We check the consistency of the model against magnetic susceptibility data, and find a good agreement between the theoretical ...
Ángel J. García-Adeva, D. L. Hùber
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Lattice Integrable Models of Quantum Field Theory [PDF]
The quantum inverse scattering method allows one to put quantum field theory models on a lattice in a way which preservesthe dynamicalstructure.The trace identitiesare discussedfor thesemodels.
V. E. Korepin +2 more
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Quantum group symmetries in two-dimensional lattice quantum field theory
Abstract We present a general theory of non-local conserved currents in two-dimensional quantum field theory in the lattice approximation. They reflect quantum group symmetries. Various examples are studied.
D. Bernard, G. Felder
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Quantum Cellular Automata from Lattice Field Theories
We apply the methods of lattice field theories to the quantization of cellular automata. We discuss the quantization of five main categories of cellular automata: bosonic, fermionic, supersymmetric, spin and quantum dot using path integral and operator formalisms of lattice field theories.
Michael McGuigan
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Disordered Lattice Glass $\phi^{4}$ Quantum Field Theory [PDF]
We study numerically the three-dimensional $ϕ^{4}$ spin glass, a prototypical disordered and discretized Euclidean field theory that manifests inhomogeneities in space and time but considers a homogeneous squared mass and lambda terms. The $ϕ^{4}$ lattice glass field theory is a conceptual generalization of spin glasses to continuous degrees of freedom
Dimitrios Bachtis
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Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories [PDF]
It has recently been argued that noisy intermediate-scale quantum computers may be used to optimize interpolating operator constructions for lattice quantum field theory (LQFT) calculations on classical computers.
A. Avkhadiev, P. Shanahan, R. Young
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Diffusion Models as Stochastic Quantization in Lattice Field Theory [PDF]
In this work, we establish a direct connection between generative diffusion models (DMs) and stochastic quantization (SQ). The DM is realized by approximating the reversal of a stochastic process dictated by the Langevin equation, generating samples from
L. Wang, Gert Aarts, Kai Zhou
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