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AbstractAbstract
[en] We examine quantum field theory on noncummutative spacetime. For this we choose an approach which lives explicitly on the noncommutative Minkowski space, namely the Yang-Feldman formalism. Here the ansatz is to try to solve the field equation of the quantum fields. In this setting we first take a look at an additional mass term, and use this to discuss possible IR cutoffs. We find classes of IR cutoffs which indeed yield the expected limit. Furthermore, we look at interacting models, namely the Φ3 model in four and six dimensions, the Φ4 model and the Wess-Zumino model. For these we calculate dispersion relations. We see that there exist huge differences in the orders of magnitude between logarithmically and quadratically divergent models. Integrals which are made finite by twisting factors are calculated rigorously in the sense of the theory of oscillatory integrals. (orig.)
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Source
Dec 2006; 128 p; ISSN 1435-8085;
; Diss.

Record Type
Report
Literature Type
Thesis/Dissertation
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Country of publication
ANALYTICAL SOLUTION, COMMUTATION RELATIONS, DISPERSION RELATIONS, FIELD EQUATIONS, FOUR-DIMENSIONAL CALCULATIONS, INFRARED DIVERGENCES, INTEGRALS, INTERACTIONS, MANY-DIMENSIONAL CALCULATIONS, MINKOWSKI SPACE, NONLINEAR PROBLEMS, PHI4-FIELD THEORY, REST MASS, SIGMA MODEL, SPACE-TIME, ULTRAVIOLET DIVERGENCES, YANG-FELDMAN FORMALISM
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