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Quantum field theory in generalised Snyder spaces

Meljanac, Stjepan; Meljanac, Daniel; Mignemi, S.; Štrajn, R. (2017) Quantum field theory in generalised Snyder spaces. Physics letters. B, 768 . pp. 321-325. ISSN 0370-2693

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Abstract

We discuss the generalisation of the Snyder model that includes all possible deformations of the Heisenberg algebra compatible with Lorentz invariance and investigate its properties. We calculate perturbatively the law of addition of momenta and the star product in the general case. We also undertake the construction of a scalar field theory on these noncommutative spaces showing that the free theory is equivalent to the commutative one, like in other models of noncommutative QFT.

Item Type: Article
Uncontrolled Keywords: Quantum field theory ; Snyder space
Subjects: NATURAL SCIENCES > Physics
Divisions: Division of Materials Physics
Theoretical Physics Division
Projects:
Project titleProject leaderProject codeProject type
RBI-T-WINNINGUNSPECIFIEDEK-H2020-692194UNSPECIFIED
prema kvantnoj gravitaciji: nekomutativna geometrija, teorija polja i kozmologija-tqgngftcStjepan MeljanacIP-2014-09-9582HRZZ
Depositing User: Daniel Meljanac
Date Deposited: 18 Jan 2018 16:50
URI: http://fulir.irb.hr/id/eprint/3837
DOI: 10.1016/j.physletb.2017.02.059

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