Results 1 to 10 of about 6,737 (119)

Lattice fermions as spectral graphs

open access: yesJournal 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
doaj   +1 more source

The dynamics of zero modes in lattice gauge theory — difference between SU(2) and SU(3) in 4D

open access: yesJournal 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
doaj   +1 more source

Real-time spin systems from lattice field theory

open access: yesJournal 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
doaj   +1 more source

Logarithmic, fractal and volume-law entanglement in a Kitaev chain with long-range hopping and pairing

open access: yesJournal 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
doaj   +1 more source

Excitations of Ising strings on a lattice

open access: yesJournal 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
doaj   +1 more source

Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities

open access: yesJournal of High Energy Physics, 2023
We construct Villain Hamiltonians for compact scalars and abelian gauge theories. The Villain integers are promoted to integral spectrum operators, whose canonical conjugates are naturally compact scalars.
Lucca Fazza, Tin Sulejmanpasic
doaj   +1 more source

Stochastic normalizing flows as non-equilibrium transformations

open access: yesJournal of High Energy Physics, 2022
Normalizing flows are a class of deep generative models that provide a promising route to sample lattice field theories more efficiently than conventional Monte Carlo simulations.
Michele Caselle   +3 more
doaj   +1 more source

Entanglement entropy from non-equilibrium Monte Carlo simulations

open access: yesJournal of High Energy Physics, 2023
We study the entanglement entropy in lattice field theory using a simulation algorithm based on Jarzynski’s theorem. We focus on the entropic c-function for the Ising model in two and in three dimensions: after validating our algorithm against known ...
Andrea Bulgarelli, Marco Panero
doaj   +1 more source

Bond-weighting method for the Grassmann tensor renormalization group

open access: yesJournal of High Energy Physics, 2022
Recently, the tensor network description with bond weights on its edges has been proposed as a novel improvement for the tensor renormalization group algorithm. The bond weight is controlled by a single hyperparameter, whose optimal value is estimated in
Shinichiro Akiyama
doaj   +1 more source

Alpha-alpha scattering in the Multiverse

open access: yesJournal of High Energy Physics, 2022
We investigate the phase shifts of low-energy α-α scattering under variations of the fundamental parameters of the Standard Model, namely the light quark mass, the electromagnetic fine-structure constant as well as the QCD θ-angle.
Serdar Elhatisari   +4 more
doaj   +1 more source

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