Review of the phenomenology of noncommutative geometry

By I. Hinchliffe, N. Kersting, Y. L. Ma. 2002

146 citations recorded by the source corpus.

We present a pedagogical review of particle physics models that are based on the noncommutativity of space–time, $[\hat{x}_\mu,\hat{x}_\nu]=i \theta_{\mu\nu}$, with specific attention to the phenomenology these models predict in particle experiments either in existence or under development. We summarize results obtained for high energy scattering such as would occur, for example, in a future e+e- linear collider with $\sqrt{s}=500~{\rm GeV}$, as well as low energy experiments such as those pertaining to elementary electric dipole moments and other CP violating observables, and finally comment on the status of phenomenological work in cosmology and extra dimensions.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9589f47276fd81a7ab1ee57bd28b1617cc656762

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In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Modern Tests of Lorentz Invariance (2005, background): “The phenomenology of canonical noncommutativity as it relates to particle physics can be found in [147, 98].”
Quantum field theory on noncommutative spaces (2001, background): “A recent review of the more phenomenological aspects of noncommutative eld theory may be found in [51].”
Minimal Length Scale Scenarios for Quantum Gravity (2012, background): “If the position-space coordinates are non-commuting with a constant Poisson tensor, this leads to the territory of non-commutative quantum field theory for which the reader is referred to the literature specialized on that topic, for example [104, 151] and the many references therein.”