Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-04-16
Phys.Lett.B656:141-144,2007
Physics
High Energy Physics
High Energy Physics - Theory
Momentum-dependence of the propagator and more details. Final version for Physics Letters B
Scientific paper
10.1016/j.physletb.2007.09.014
We 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.
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