Fractional quantum field theory: From lattice to continuumстатья
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Дата последнего поиска статьи во внешних источниках: 12 января 2015 г.
Аннотация:An approach to formulate fractional eld theories on unbounded lattice space-time is
suggested. A fractional-order analog of the lattice quantum eld theories is considered.
Lattice analogs of the fractional-order 4-dimensional dierential operators are proposed.
We prove that continuum limit of the suggested lattice eld theory gives a fractional eld
theory for the continuum 4-dimensional space-time. The fractional eld equations, which
are derived from equations for lattice space-time with long-range properties of power-law
type, contain the Riesz type derivatives on non-integer orders with respect to space-time
coordinates.