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Gauge theories on quantum spaces
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We review the present status of gauge theories built on various quantum space-times described by noncommutative space-times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory models on Moyal spaces as well as on quantum spaces whose coordinates form a Lie algebra are covered, with particular emphasis on some explored quantum properties. Recent attempts aiming to include gravity dynamics within a noncommutative framework are also considered.
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Cited by 3 Pith papers
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A new perspective on non-commutative deformations of field and gauge theories
Star products built from active symmetry transformations give gauge-invariant non-commutative theories under a weakened unimodularity condition, with a planar equivalence theorem keeping internal Feynman structure undeformed.
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Entanglement through high-energy scattering in noncommutative quantum electrodynamics
In noncommutative QED, tree-level photon and head-on fermion scattering with opposite helicities give the same concurrence as gluon scattering, maximal at a 90-degree scattering angle, while a right-angle fermion coll...
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Yang-Mills Field in the $\kappa$-space-time
A first-order SU(N) Yang-Mills theory on κ-deformed spacetime is constructed, with field strengths rescaled by probe-energy-dependent factors and an SU(N)-invariant Lagrangian.
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