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A Riccati type PDE for light-front higher helicity vertices
University of Borås, School of Engineering.
2014 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 105Article in journal (Refereed)
Abstract [en]

This paper is based on a curious observation about an equation related to the tracelessness constraints of higher spin gauge fields. A similar equation also occurs in the theory of continuous spin representations of the Poincaré group. Expressed in an oscillator basis for the higher spin fields, the equation becomes a non-linear partial differential operator of the Riccati type acting on the vertex functions. The consequences of the equation for the cubic vertex is investigated in the light-front formulation of higher spin theory. The vertex is fixed by the PDE up to a set of terms that can be considered as boundary data for the PDE. These terms can serve as off-shell quantum corrections. In order to set the present work in perspective, some comments and comparisons to recent research on higher spin interactions are made. A few particular cubic vertices are calculated explicitly and compared to similar results in the literature, in particular the interesting cases 2 ÿ 3 ÿ 3 and 3 ÿ 2 ÿ 2 involving spin 2 fields.

Place, publisher, year, edition, pages
Springer Berlin Heidelberg , 2014. no 105
Keyword [en]
Higher Spin Gravity
Research subject
Resource Recovery
Identifiers
URN: urn:nbn:se:hb:diva-2040DOI: 10.1007/JHEP09(2014)105Local ID: 2320/14660OAI: oai:DiVA.org:hb-2040DiVA: diva2:870121
Available from: 2015-11-13 Created: 2015-11-13

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Publisher's full texthttp://arxiv.org/abs/1403.7345

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