Results 1 to 10 of about 6,737 (119)
Lattice fermions as spectral graphs
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
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
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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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
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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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
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Stochastic normalizing flows as non-equilibrium transformations
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
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Entanglement entropy from non-equilibrium Monte Carlo simulations
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
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Bond-weighting method for the Grassmann tensor renormalization group
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
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Alpha-alpha scattering in the Multiverse
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
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