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κ-Poincaré invariant orientable field theories at one-loop
2019
Journal of High Energy Physics
We consider a family of κ-Poincaré invariant scalar field theories on 4-d κ-Minkowski space with quartic orientable interaction, that is for which ϕ and its conjugate ϕ^† alternate in the quartic interaction, and whose kinetic operator is the square of a U_κ(iso(4))-equivariant Dirac operator. The formal commutative limit yields the standard complex ϕ^4 theory. We find that the 2-point function receives UV linearly diverging 1-loop corrections while it stays free of IR singularities that would
doi:10.1007/jhep01(2019)064
fatcat:4hcqqu5nh5djzpv6g23izxjxka