Non-commutative Field Theory with Twistor-like Coordinates

Simple item page
dc.creatorTaylor, Tomasz R.
dc.date2007-04-16
dc.date2007-09-16
dc.date.accessioned2026-07-07T10:59:36Z
dc.date.available2026-07-07T10:59:36Z
dc.descriptionWe consider quantum field theory in four-dimensional Minkowski spacetime, with the position coordinates represented by twistors instead of the usual world-vectors. Upon imposing canonical commutation relations between twistors and dual twistors, quantum theory of fields described by non-holomorphic functions of twistor variables becomes manifestly non-commutative, with Lorentz symmetry broken by a time-like vector. We discuss the free field propagation and its impact on the short- and long-distance behavior of physical amplitudes in perturbation theory. In the ultraviolet limit, quantum field theories in twistor space are generically less divergent than their commutative counterparts. Furthermore, there is no infrared--ultraviolet mixing problem.
dc.descriptionMomentum-dependence of the propagator and more details. Final version for Physics Letters B
dc.identifierhttps://arxiv.org/abs/0704.2071
dc.identifierhttp://arxiv.org/abs/0704.2071
dc.identifierPhys.Lett.B656:141-144,2007
dc.identifierdoi:10.1016/j.physletb.2007.09.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187456
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleNon-commutative Field Theory with Twistor-like Coordinates
dc.typetext

Files

Collections

arXiv