43 citations · 163 across the 20 of their papers we have counts for
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math-ph2020★ 1 cited
Lattice gauge theory and a random-medium Ising model
Mikhail Skopenkov
We study linearization of lattice gauge theory. Linearized theory approximates lattice gauge theory in the same manner as the loop O(n)-model approximates the spin O(n)-model. Unde…
math-ph2020★ 7 cited
Feynman checkers: towards algorithmic quantum theory
M. Skopenkov, A. Ustinov
We survey and develop the most elementary model of electron motion introduced by RFeynman. In this game, a checker moves on a checkerboard by simple rules, and we count the turn…
math-ph2017★ 4 cited
Discrete field theory: symmetries and conservation laws
Mikhail Skopenkov
We present a general algorithm constructing a discretization of a classical field theory from a Lagrangian. We prove a new discrete Noether theorem relating symmetries to conservat…