A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields

Details A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields

2008-12-22

arxiv.org/abs/0812.4254v2

Nucl.Phys.B814:370-404,2009

Physics

High Energy Physics

High Energy Physics - Theory

44 pages; to appear in Nuclear Physics B, clarifying comments and references added

Scientific paper

10.1016/j.nuclphysb.2009.02.010

We argue that the theory of a massive higher spin field coupled to electromagnetism in flat space possesses an intrinsic, model independent, finite upper bound on its UV cutoff. By employing the Stueckelberg formalism we do a systematic study to quantify the degree of singularity of the massless limit in the cases of spin 2, 3, 3/2, and 5/2. We then generalize the results for arbitrary spin to find an expression for the maximum cutoff of the theory as a function of the particle's mass, spin, and electric charge. We also briefly explain the physical implications of the result and discuss how it could be sharpened by use of causality constraints.

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