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Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
Ruben Manvelyan, Karapet Mkrtchyan, Werner Ruehl
The ultraviolet singular structure of the bulk-to-bulk propagators for higher spin gauge fields in space is analyzed in details. Possible interactions with the Higgs scal…
Generalized Curvature and Ricci Tensors for a Higher Spin Potential and the Trace Anomaly in External Higher Spin Fields in AdS_{4} Space
Ruben Manvelyan, Werner Ruehl
The curvature of a higher spin potential as constructed in a previous article of the same authors arXiv:0705.3528 is applied to the analysis of the linearized trace anomaly obtaine…
The Generalized Curvature and Christoffel Symbols for a Higher Spin Potential in AdS_{d+1} Space
Ruben Manvelyan, Werner Ruehl
The generalized curvature tensor and Christoffel symbols are determined in AdS_{d+1} background by a modified ansatz of the de Wit - Freedman type by imposing gauge invariance. The…
Coupling of Higher Spin Gauge Fields to a Scalar Field in and their Holographic Images in the -Dimensional Sigma Model
T. Leonhardt, R. Manvelyan, W. Ruehl
The three-point functions of two scalar fields and the higher spin field of HS(4) on the one side and of their proposed holographic images and $\mathcal{J^{(\e…
Is it possible to construct exactly solvable models?
Oliver Haschke, Werner Ruehl
We develop a constructive method to derive exactly solvable quantum mechanical models of rational (Calogero) and trigonometric (Sutherland) type. This method starts from a linear a…
Construction of exactly solvable quantum models of Calogero and Sutherland type with translation invariant four-particle interactions
Oliver Haschke, Werner Ruehl
We construct exactly solvable models for four particles moving on a real line or on a circle with translation invariant two- and four-particle interactions.