Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory

Details Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory

2006-02-02

arxiv.org/abs/hep-th/0602023v1

Phys.Rev.D73:065023,2006

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 19 pp, no figure

Scientific paper

10.1103/PhysRevD.73.065023

In the presence of a strong magnetic field, the effective action of a composite scalar field in an scalar O(N) model is derived using two different methods. First, in the framework of worldline formalism, the 1PI n-point vertex function for the composites is determined in the limit of strong magnetic field. Then, the n-point effective action of the composites is calculated in the regime of lowest Landau level dominance. It is shown that in the limit of strong magnetic field, the results coincide and an effective field theory arises which is comparable with the conventional noncommutative field theory. In contrast to the ordinary case, however, the UV/IR mixing is absent in this modified noncommutative field theory.

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