Non-Pauli Effects from Noncommutative Spacetimes

Abstract

Noncommutative spacetimes lead to nonlocal quantum field theories (qft's) where spin-statistics theorems cannot be proved. For this reason, and also backed by detailed arguments, it has been suggested that they get corrected on such spacetimes leading to small violations of the Pauli principle. In a recent paper \cite{Pauli}, Pauli-forbidden transitions from spacetime noncommutativity were calculated and confronted with experiments. Here we give details of the computation missing from this paper. The latter was based on a spacetime ${\mathcal{B}}_{\chi \vec{n}}$ different from the Moyal plane. We argue that it quantizes time in units of $\chi$. Energy is then conserved only mod $\frac{2\pi }{\chi }$. Issues related to superselection rules raised by non-Pauli effects are also discussed in a preliminary manner.

15 Pages, 1 Table, Full details and further developments of arXiv:1003.2250. This version is close to the one accepted by JHEP

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• Toward the classification of differential calculi on $\kappa$-Minkowski space and related field theories
• Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Kinematic variables in noncommutative phase space and parameters of noncommutativity
• Noncommutative phase space with rotational symmetry and hydrogen atom
• Twisted statistics and the structure of Lie-deformed Minkowski spaces
• Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space
• Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
• Covariant Quantum Fields on Noncommutative Spacetimes
• Lehmann-Symanzik-Zimmermann S-Matrix elements on the Moyal Plane
• Time reversal and rotational symmetries in noncommutative phase space
• Minimal momentum estimation in noncommutative phase space of canonical type with preserved rotational and time reversal symmetries
• Entropic force for quantum particles
• Renormalization of Noncommutative Quantum Field Theories