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DECONSTRUCTION AND OTHER APPROACHES TO SUPERSYMMETRIC LATTICE FIELD THEORIES [PDF]
International Journal of Modern Physics A, 2006 This paper contains both a review of recent approaches to supersymmetric lattice field theories and some new results on the deconstruction approach. The essential reason for the complex phase problem of the fermion determinant is shown to be derivative interactions that are not present in the continuum.
Joel Giedt
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Stochastic locality and master-field simulations of very large lattices
EPJ Web of Conferences, 2018 In lattice QCD and other field theories with a mass gap, the field variables in distant regions of a physically large lattice are only weakly correlated.
Lüscher Martin
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Mean Field Approaches to Lattice Gauge Theories: A Review [PDF]
EntropyDue to their broad applicability, gauge theories (GTs) play a crucial role in various areas of physics, from high-energy physics to condensed matter. Their formulations on lattices, lattice gauge theories (LGTs), can be studied, among many other methods,
Pierpaolo Fontana, Andrea Trombettoni
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Gauss law, minimal coupling and fermionic PEPS for lattice gauge theories [PDF]
SciPost Physics Lecture Notes, 2020 In these lecture notes, we review some recent works on Hamiltonian lattice gauge theories, that involve, in particular, tensor network methods. The results reviewed here are tailored together in a slightly different way from the one used in the ...
Patrick Emonts, Erez Zohar
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Self-interacting scalar fields at high-temperature [PDF]
European Physical Journal C: Particles and Fields, 2017 We study two self-interacting scalar field theories in their high-temperature limit using path integrals on a lattice. We first discuss the formalism and recover known potentials to validate the method.
Alexandre Deur
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Lattice fermions as spectral graphs
Journal of High Energy Physics, 2022 We study lattice fermions from the viewpoint of spectral graph theory (SGT). We find that a fermion defined on a certain lattice is identified as a spectral graph. SGT helps us investigate the number of zero eigenvalues of lattice Dirac operators even on
Jun Yumoto, Tatsuhiro Misumi
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The dynamics of zero modes in lattice gauge theory — difference between SU(2) and SU(3) in 4D
Journal of High Energy Physics, 2023 The dynamics of zero modes in gauge theory is highly nontrivial due to its nonperturbative nature even in the case where the other modes can be treated perturbatively. One of the related issues concerns the possible instability of the trivial vacuum A μ (
Yuhma Asano, Jun Nishimura
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Real-time spin systems from lattice field theory
Journal of High Energy Physics, 2023 We construct a lattice field theory method for computing the real-time dynamics of spin systems in a thermal bath. This is done by building on previous work of Takano with Schwinger-Keldysh and functional differentiation techniques. We derive a Schwinger-
Neill C. Warrington
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Journal of High Energy Physics, 2023 Thanks to their prominent collective character, long-range interactions promote information spreading and generate forms of entanglement scaling, which cannot be observed in traditional systems with local interactions.
Andrea Solfanelli +3 more
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Excitations of Ising strings on a lattice
Journal of High Energy Physics, 2023 The 3d Ising model in the low temperature (ferromagnetic) phase describes dynamics of two-dimensional surfaces — domain walls between clusters of parallel spins. The Kramers-Wannier duality maps these surfaces into worldsheets of confining strings in the
Andreas Athenodorou +3 more
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