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Direct Improvement of Hamiltonian Lattice Gauge Theory [PDF]
Physical Review D, 2001 We demonstrate that a direct approach to improving Hamiltonian lattice gauge theory is possible. Our approach is to correct errors in the Kogut-Susskind Hamiltonian by incorporating additional gauge invariant terms.
B. H. J. McKellar +14 more
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Monte Carlo Hamiltonian of lattice gauge theory [PDF]
Modern Physics Letters A, 2005 We discuss how the concept of the Monte Carlo Hamiltonian can be applied to lattice gauge theories.Comment: "Non-Perturbative Quantum Field Theory: Lattice and Beyond", Guangzhou, China ...
Creutz M. +4 more
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Gauge invariance in a Z_2 hamiltonian lattice gauge theory [PDF]
Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005), 2005 We propose an efficient variational method for $Z_2$ lattice gauge theory based on the matrix product ansatz. The method is applied to ladder and square lattices.
Sugihara, Takanori
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Hamiltonian lattice gauge theory: wavefunctions on large lattices [PDF]
Nuclear Physics B - Proceedings Supplements, 1992 We discuss an algorithm for the approximate solution of Schrodinger's equation for lattice gauge theory, using lattice SU(3) as an example. A basis is generated by repeatedly applying an effective Hamiltonian to a ``starting state.'' The resulting basis ...
Bronzan +4 more
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Quantum computing universal thermalization dynamics in a (2 + 1)D Lattice Gauge Theory [PDF]
Nature CommunicationsSimulating non-equilibrium phenomena in strongly-interacting quantum many-body systems, including thermalization, is a promising application of near-term and future quantum computation.
Niklas Mueller +4 more
doaj +2 more sources
A resource efficient approach for quantum and classical simulations of gauge theories in particle physics [PDF]
Quantum, 2021 Gauge theories establish the standard model of particle physics, and lattice gauge theory (LGT) calculations employing Markov Chain Monte Carlo (MCMC) methods have been pivotal in our understanding of fundamental interactions.
Jan F. Haase +6 more
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Journal of High Energy Physics, 2023 We study the Hamiltonian lattice Yang-Mills theory based on spin networks that provide a useful basis to represent the physical states satisfying the Gauss law constraints. We focus on SU(2) Yang-Mills theory in (2 + 1) dimensions.
Tomoya Hayata, Yoshimasa Hidaka
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Improved Hamiltonian lattice gauge theory [PDF]
Nuclear Physics B - Proceedings Supplements, 2002 We derive an improved lattice Hamiltonian for pure gauge theory, coupling arbitrarily distant links in the kinetic term. The level of improvement achieved is examined in variational calculations of the SU(2) specific heat in 2+1 dimensions.
Carlsson, J. +3 more
openaire +2 more sources
Measurement-based quantum simulation of Abelian lattice gauge theories
SciPost Physics, 2023 Numerical simulation of lattice gauge theories is an indispensable tool in high energy physics, and their quantum simulation is expected to become a major application of quantum computers in the future.
Hiroki Sukeno, Takuya Okuda
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Z_{N} lattice gauge theory in a ladder geometry
Physical Review Research, 2021 Under the perspective of realizing analog quantum simulations of lattice gauge theories, ladder geometries offer an intriguing playground, relevant for ultracold atom experiments. Here, we investigate Hamiltonian lattice gauge theories defined in two-leg
Jens Nyhegn +2 more
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