Fractional quantum field theory: from lattice to continuum

DOI10.1155/2014/957863zbMath1425.81082OpenAlexW2113299173WikidataQ59045244 ScholiaQ59045244MaRDI QIDQ2337780

Vasily E. Tarasov

Publication date: 20 November 2019

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/957863

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27)

Related Items (13)

Dirac particle with memory: proper time non-locality ⋮ United lattice fractional integro-differentiation ⋮ Fractional derivative regularization in QFT ⋮ Exact discretization of fractional Laplacian ⋮ Partial fractional derivatives of Riesz type and nonlinear fractional differential equations ⋮ Exact discretization of Schrödinger equation ⋮ Exact discretization by Fourier transforms ⋮ Exact discretization of non-commutative space-time ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ Fractional Liouville equation on lattice phase-space ⋮ Exact solution of T-difference radial Schrödinger equation ⋮ Variational principle of stationary action for fractional nonlocal media and fields ⋮ Nonlocal quantum system with fractal distribution of states

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