Correlation functions of the energy-momentum tensor on spaces of constant curvature
From MaRDI portal
Publication:1572540
DOI10.1016/S0550-3213(99)00775-0zbMATH Open1028.81510arXivhep-th/9909043OpenAlexW2031231915MaRDI QIDQ1572540
Author name not available (Why is that?)
Publication date: 12 July 2000
Published in: (Search for Journal in Brave)
Abstract: An analysis of one and two point functions of the energy momentum tensor on homogeneous spaces of constant curvature is undertaken. The possibility of proving a -theorem in this framework is discussed, in particular in relation to the coefficients , which appear in the energy momentum tensor trace on general curved backgrounds in four dimensions. Ward identities relating the correlation functions are derived and explicit expressions are obtained for free scalar, spinor field theories in general dimensions and also free vector fields in dimension four. A natural geometric formalism which is independent of any choice of coordinates is used and the role of conformal symmetries on such constant curvature spaces is analysed. The results are shown to be constrained by the operator product expansion. For negative curvature the spectral representation, involving unitary positive energy representations of , for two point functions of vector currents is derived in detail and extended to the energy momentum tensor by analogy. It is demonstrated that, at non coincident points, the two point functions are not related to in any direct fashion and there is no straightforward demonstration obtainable in this framework of irreversibility under renormalisation group flow of any function of the couplings for four dimensional field theories which reduces to at fixed points.
Full work available at URL: https://arxiv.org/abs/hep-th/9909043
No records found.
This page was built for publication: Correlation functions of the energy-momentum tensor on spaces of constant curvature
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1572540)
