Lorentz-Invariant Non-Commutative Space-Time Based on DFR Algebra

Lorentz-Invariant Non-Commutative QED

Lorentz-invariant non-commutative QED (NCQED) is constructed such that it should be a part of Lorentz-invariant non-commutative standard model (NCSM), a subject to be treated in later publications. Our NCSM is based on Connes’ observation that the total fermion field in the standard model may be regarded as a bi-module over a flavorcolor algebra. In this paper, it is shown that there exist two ...

Parton Model in Lorentz Invariant Non-Commutative Space

We consider the Lorentz invariant non-commutative QED and complete the Feynman rules for the theory up to the order θ. In the Lorentz invariant version of the noncommutative QED the particles with fractional charges can be also considered. We show that in the parton model, even at the lowest order, the Bjorken scaling violates as ∼ θQ.

Discrete Symmetries In Lorentz-Invariant Non-Commutative QED

It is pointed out that the usual θ-algebra assumed for non-commuting coordinates is not P and T -invariant, unless one formally transforms the non-commutativity parameter θ in an appropriate way. On the other hand, the Lorentz-covariant DFR algebra, which ‘relativitizes’ the θ-algebra by replacing θ with a second-rank antisymmetric tensor operator θ̂ , is P and T -invariant. It is then proved th...

Inflation on a non-commutative space–time

Article history: Received 24 April 2015 Received in revised form 9 June 2015 Accepted 11 June 2015 Available online 16 June 2015 Editor: M. Trodden We study inflation on a non-commutative space–time within the framework of enveloping algebra approach which allows for a consistent formulation of general relativity and of the standard model of particle physics. We show that within this framework,...

Non-commutative combinatorial algebra