Trampetić, Josip; You, Jiangyang (2014) Twopoint functions on deformed spacetime. Symmetry, Integrability and Geometry : Methods and Applications, 10 . 054105420. ISSN 18150659

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Abstract
We present a review of the oneloop photon (Π) and neutrino (Σ) twopoint functions in a covariant and deformed U(1) gauge theory on the 4dimensional noncommutative spaces, determined by a constant antisymmetric tensor θ µν, and by a parameterspace (κf , κg), respectively. For the general fermion photon Sf (κf ) and photon selfinteraction Sg(κg) the closed form results reveal twopoint functions with all kind of pathological terms: the UV divergence, the quadratic UV/IR mixing terms as well as a logarithmic IR divergent term of the type ln(µ 2 (θp) 2 ). In addition, the photonloop produces new tensor structures satisfying transversality condition by themselves. We show that the photon twopoint function in the 4dimensional Euclidean spacetime can be reduced to two finite terms by imposing a specific full rank of θ µν and setting deformation parameters (κf , κg) = (0, 3). In this case the neutrino twopoint function vanishes. Thus for a specific point (0, 3) in the parameterspace (κf , κg), a covariant θexact approach is able to produce a divergencefree result for the oneloop quantum corrections, having also both welldefined commutative limit and pointlike limit of an extended object.
Item Type:  Article 

Uncontrolled Keywords:  noncommutative geometry; photon and neutrino physics; nonperturbative effects 
Subjects:  NATURAL SCIENCES > Physics 
Divisions:  Theoretical Physics Division 
Depositing User:  Josip Trampetić 
Date Deposited:  14 Jun 2016 09:32 
Last Modified:  14 Jun 2016 09:32 
URI:  http://fulir.irb.hr/id/eprint/2872 
DOI:  10.3842/SIGMA.2014.054 
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