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Dispersion relations for the self-energy in noncommutative field theories

2002/06/07 by F. T. Brandt, Ashok Das, J. Frenkel · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.66.065017

published as Phys.Rev.D66:065017,2002 · 10 pages

arxiv created 2002/06/07 · openalex publication_date 2002/09/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the IR-UV connection in noncommutative \ensuremathφ3 theory as well as in noncommutative QED from the point of view of the dispersion relation for self-energy. We show that, although the imaginary part of the self-energy is well behaved as the parameter of noncommutativity vanishes, the real part becomes divergent as a consequence of the high energy behavior of the dispersion integral. Some other interesting features that arise from this analysis are also briefly discussed.

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