Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-22
Phys.Rev.D77:025037,2008
Physics
High Energy Physics
High Energy Physics - Theory
32 pages. Added references and details in the introduction and in Section 5
Scientific paper
10.1103/PhysRevD.77.025037
We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We discuss noncommutative classical mechanics, in particular its deformed Poisson bracket and hence time evolution and symmetries. The twisting is then extended to classical fields, and then to the main interest of this work: quantum fields. This leads to a geometric formulation of quantization on noncommutative spacetime, i.e. we establish a noncommutative correspondence principle from *-Poisson brackets to *-commutators. In particular commutation relations among creation and annihilation operators are deduced.
Aschieri Paolo
Lizzi Fedele
Vitale Patrizia
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