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Quantum field theory in generalised Snyder spaces

S. Meljanac
(
- Boskovic Inst., Zagreb
)
,
D. Meljanac
(
- Boskovic Inst., Zagreb
)
,
S. Mignemi
(
- Cagliari U., Math. Dept. and
- INFN, Cagliari
)
,
R. Strajn
(
- Cagliari U., Math. Dept. and
- INFN, Cagliari
)

Jan 20, 2017

5 pages

Published in:

Phys.Lett.B 768 (2017) 321-325

Published: May 10, 2017

e-Print:

1701.05862 [hep-th]

DOI:

10.1016/j.physletb.2017.02.059

View in:

ADS Abstract Service

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Abstract: (Elsevier)

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.

Note:

12 pages. arXiv admin note: substantial text overlap with arXiv:1608.06207

Snyder model
algebra: Heisenberg
deformation
invariance: Lorentz
Moyal product
field theory: scalar
space: noncommutative

References(32)

Figures(0)

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