Particle phenomenology on noncommutative spacetime

Abstract

We introduce particle phenomenology on the noncommutative spacetime called the Groenewold-Moyal plane. The length scale of spcetime noncommutativity is constrained from the CPT violation measurements in $K^0-{\bar{K}}^0$ system and $g-2$ difference of ${\mu }^{+}-{\mu }^{-}$. The $K^0-{\bar{K}}^0$ system provides an upper bound on the length scale of spacetime noncommutativity of the order of $10^{-32}\text{m}$, corresponding to a lower energy bound $E$ of the order of $E\gtrsim 10^{16}\text{GeV}$. The $g-2$ difference of ${\mu }^{+}-{\mu }^{-}$ constrains the noncommutativity length scale to be of the order of $10^{-20}\text{m}$, corresponding to a lower energy bound $E$ of the order of $E\gtrsim 10^3\text{GeV}$. We also present the phenomenology of the electromagnetic interaction of electrons and nucleons at the tree level in the noncommutative spacetime. We show that the distributions of charge and magnetization of nucleons are affected by spacetime noncommutativity. The analytic properties of electromagnetic form factors are also changed and it may give rise to interesting experimental signals.

10 pages, 3 figures. Published version

References in corpus (21)

• Nucleon Electromagnetic Form Factors
• Statistics and UV-IR Mixing with Twisted Poincare Invariance
• Direction-Dependent CMB Power Spectrum and Statistical Anisotropy from Noncommutative Geometry
• Constraints from CMB on Spacetime Noncommutativity and Causality Violation
• The Noncommutative Standard Model at O(theta^2)
• Non-commutative SU(N) gauge theories and asymptotic freedom
• Quantum Fields on the Groenewold-Moyal Plane
• Twisted Gauge and Gravity Theories on the Groenewold-Moyal Plane
• Twisted Poincaré Invariant Quantum Field Theories
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Noncommutativity and theta-locality
• Twisted Poincare Invariance, Noncommutative Gauge Theories and UV-IR Mixing
• Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism
• Bounds on the Parameter of Noncommutativity from Supernova SN1987A
• S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance
• Quantum Fields on the Groenewold-Moyal Plane: C, P, T and CPT
• Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory
• Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories
• Dark consequences from light neutrino condensations
• Effects of the Noncommutative Standard Model on WW scattering
• Imprints of microcausality violation on the cosmic microwave background