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arXiv · 1806.06015

Probing the scale of non-commutativity of space

Abstract

Examining quantum electrodynamics in non-commutative (NC) spaces along with composite operators in these spaces, we show that i) any charge g for a fermion matter field is allowed provided the basic NC photon-photon coupling is g, however no other multiples of g are permitted and ii) composite operators do not have a simple transformation which can be attributed to the effective total charge of the composite particle. Taken together these results place a limit on the scale of non-commutativity to be at most smaller that current LHC limits for compositeness. Furthermore, they also suggest that a substructure at still smaller scales is needed if such spaces are to be a physical reality.

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Pulkit S. Ghoderao, Rajiv V. Gavai, P. Ramadevi. 2018-06-15. Probing the scale of non-commutativity of space. https://doi.org/10.1142/s0217732319501918

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