Fractional Quantum Field Theory: From Lattice to Continuum. (30th October 2014)

• Record Type: Journal Article
• Authors: Tarasov, Vasily E.
• Other Names: Vagenas Elias C. Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2014(2014)
• Publication Date: 2014-10-30
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2014/957863
• Languages: English
• ISSNs: 1687-7357

Abstract

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.