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Ultraviolet singularities in classical brane theory

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Abstract

We construct for the first time an energy-momentum tensor for the electromagnetic field of a p-brane in arbitrary dimensions, entailing finite energy-momentum integrals. The construction relies on distribution theory and is based on a Lorentz-invariant regularization, followed by the subtraction of divergent and finite counterterms supported on the brane. The resulting energy-momentum tensor turns out to be uniquely determined. We perform the construction explicitly for a generic flat brane. For a brane in arbitrary motion our approach provides a new paradigm for the derivation of the, otherwise divergent, self-force of the brane. The so derived self-force is automatically finite and guarantees, by construction, energy-momentum conservation.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Padova, Padova, Italy

    K. Lechner

  2. INFN, Sezione di Padova, Via F. Marzolo, 8, 35131, Padova, Italy

    K. Lechner

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  1. K. Lechner
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Correspondence to K. Lechner.

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ArXiv ePrint: 1011.3746

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Lechner, K. Ultraviolet singularities in classical brane theory. J. High Energ. Phys. 2010, 63 (2010). https://doi.org/10.1007/JHEP12(2010)063

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  • DOI: https://doi.org/10.1007/JHEP12(2010)063

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