Scalar Field theory in $κ$ -Minkowski spacetime from twist

preprint2009arXivOpen access

Using the twist deformation of $U(igl(4,R))$ , the linear part of the diffeomorphism, we define a scalar function and construct a free scalar field theory in four-dimensional $κ$ -Minkowski spacetime. The action in momentum space turns out to differ only in integration measure from the commutative theory.

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Scalar Field theory in $κ$ -Minkowski spacetime from twist

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Scalar Field theory in κκκ-Minkowski spacetime from twist

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Scalar Field theory in $κ$ -Minkowski spacetime from twist