Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space
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Publication:4954051
DOI10.1088/0264-9381/17/6/307zbMATH Open1131.83301arXivgr-qc/9904023OpenAlexW3103469726MaRDI QIDQ4954051
Author name not available (Why is that?)
Publication date: 26 November 2000
Published in: (Search for Journal in Brave)
Abstract: We present in this paper a fully covariant quantization of the minimally-coupled massless field on de Sitter space. We thus obtain a formalism free of any infrared (e.g logarithmic) divergence. Our method is based on a rigorous group theoretical approach combined with a suitable adaptation (Krein spaces) of the Wightman-G"{a}rding axiomatic for massless fields (Gupta-Bleuler scheme). We make explicit the correspondence between unitary irreducible representations of the de Sitter group and the field theory on de Sitter space-time. The minimally-coupled massless field is associated with a representation which is the lowest term of the discrete series of unitary representations of the de Sitter group. In spite of the presence of negative norm modes in the theory, no negative energy can be measured: expressions as are always positive.
Full work available at URL: https://arxiv.org/abs/gr-qc/9904023
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