ar X iv : h ep - t h / 05 12 28 8 v 1 2 2 D ec 2 00 5 Effective action in DSR 1 quantum field theory
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چکیده
We present the one-loop effective action of a quantum scalar field with DSR1 space-time symmetry as a sum over field modes. The effective action has real and imaginary parts and manifest charge conjugation asymmetry, which provides an alternative theoretical setting to the study of the particle-antiparticle asymmetry in nature. We report here a recent result concerning the one-loop effective action of doubly-relativistic theory of type 1 (DSR1) [1, 2]. To set the stage for this result we start by discussing analogous results in usual relativistic theory described by the Poincaré algebra. Then we consider the κ-deformed Poincaré algebra in standard basis and in bicrossproduct basis [3, 4, 5, 6]. The latter is the mathematical setting of DSR1 theory [2]. It is usually assumed that local space-time symmetries are completely described by the Poincaré algebra, whose defining commutation relations between the basis elements we exhibit here with the purpose of comparison with the deformed algebras that we consider in the present work. In usual notation we have
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تاریخ انتشار 2005