Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-06
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTex, invited talk given by G. Amelino-Camelia at the 25th Johns Hopkins Workshop on Current Problems in Particle T
Scientific paper
Field theories on canonical noncommutative spacetimes, which are being studied also in connection with string theory, and on $\kappa$-Minkowski spacetime, which is a popular example of Lie-algebra noncommutative spacetime, can be naturally constructed by introducing a suitable generating functional for Green functions in energy-momentum space. Direct reference to a star product is not necessary. It is sufficient to make use of the simple properties that the Fourier transform preserves in these spacetimes and establish the rules for products of wave exponentials that are dictated by the non-commutativity of the coordinates. The approach also provides an elementary description of "planar" and "non-planar" Feynman diagrams. We also comment on the rich phenomenology emerging from the analysis of these theories.
Amelino-Camelia Giovanni
Arzano Michele
Doplicher Luisa
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