A Riccati type PDE for light-front higher helicity vertices
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Publication:271051
DOI10.1007/JHEP09(2014)105zbMATH Open1333.81285arXiv1403.7345OpenAlexW3105195667MaRDI QIDQ271051
Author name not available (Why is that?)
Publication date: 7 April 2016
Published in: (Search for Journal in Brave)
Abstract: This paper is based on a curious observation about an equation related to the tracelessness constraints of higher spin gauge fields. The equation also occurs in the theory of continuous spin representations of the Poincar'e 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 classical vertex is completely fixed but there is room for off-shell quantum corrections.
Full work available at URL: https://arxiv.org/abs/1403.7345
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