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Open Quantum Systems Decoherence
Quantum Simulation
Fractional Quantum Field Theory: From Lattice to Continuum
DOAJ
Authors: Vasily E. Tarasov
Year
2014
Paper ID
15559
Status
Peer-reviewed
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
An approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered. Lattice analogs of the fractional-order 4-dimensional differential operators are proposed. We prove that continuum limit of the suggested lattice field theory gives a fractional field theory for the continuum 4-dimensional space-time. The fractional field equations, which are derived from equations for lattice space-time with long-range properties of power-law type, contain the Riesz type derivatives on noninteger orders with respect to space-time coordinates.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- An approach to formulate fractional field theories on unbounded lattice space-time is suggested.
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