Noncommutative field theory and Lorentz violation.

By S. Carroll, J. Harvey, V. Kostelecký, C. Lane, T. Okamoto. Physical Review Letters, 2001

775 citations recorded by the source corpus.

The role of Lorentz symmetry in noncommutative field theory is considered. Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary fields. Some theoretical consequences are discussed. Existing experiments bound the scale of the noncommutativity parameter to (10 TeV)(-2).

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

View Paper: https://www.semanticscholar.org/paper/8ef7c1243e09a3b5cde1ceca0886921b8bd85e0b

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Citations in the corpus

Modern Tests of Lorentz Invariance (2005, background): “Direct constraints on the dimension six non-renormalizable operators from cosmological birefringence and atomic clocks have been considered in [75].”
Review of the phenomenology of noncommutative geometry (2002, background): “Among some of the work in Lorentz violation [35, 37, 38, 39] are predictions of a number of exotic phenomena, such as the decay of high-energy photons and charged particles producing Cerenkov radiation in vacuum.”
f(R) Theories (2010, background): “, Einstein–Aether theory [325], tensor-vector-scalar theory of gravity [76], ghost condensation [38], Lorentz violating theories [144, 282, 389], and Hořava–Lifshitz gravity [305].”
Tests of Lorentz invariance: a 2013 update (2013, background): “For example, semiclassical spin-network calculations in Loop QG [63], non-commutative geometry [64, 65, 66], some brane-world backgrounds [67].”
Planck-scale modified dispersion relations and Finsler geometry (2006, background): “A succinct list includes: arguments based on string field theory tensor VEVs [10], cosmologically varying moduli scenarios [11], spacetime foam models [12], semiclassical spin-network calculations in Loop QG [13, 14], as well as non-commutative geometry studies [15, 16, 17, 18] and some brane-world ”