Werner Ruehl
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Werner Ruehl has a total of 21 co-authors. Here are the top co-authors by number of shared publications:
Ruben Manvelyan
Department of Physics Erwin Schrödinger Straße Technical University of Kaiserslautern 3049 67653 Postfach Kaiserslautern Germany
11 shared publications- Karapet Mkrtchyan
Imperial College London
6 shared publications Thorsten Leonhardt
Fachbereich Physik TU Kaiserslautern Postfach 3049 D-67653 Kaiserslautern Deutschland
6 shared publications- L. Hoffmann
Department of Physics Theoretical Physics University of Kaiserslautern 3049 67653 Postfach Kaiserslautern Germany
4 shared publications - Ruben Manvelyan
National Research Center Demokritos, Ag. Paraskevi GR-15310 Athens Hellenic Republic
4 shared publications J. Maeder
Department of Physics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany
3 shared publications
Latest Publications
- Open Access
On Nonlinear Higher Spin Curvature
We present the first nonlinear term of the higher spin curvature which is covariant with respect to deformed gauge transformations that are linear in the field. We consider in detail the case of spin 3 after presenting spin 2 as an example, and then construct the general spin s quadratic term of the deWit-Freedman curvature.
Open AccessOn Nonlinear Higher Spin Curvature
We present the first nonlinear term of the higher spin curvature which is covariant with respect to deformed gauge transformations that are linear in the field. We consider in detail the case of spin 3 after presenting spin 2 as an example, and then construct the general spin s quadratic term of the deWit-Freedman curvature.
- Open Access
Radial Reduction and Cubic Interaction for Higher Spins in (A)dS space
We present a new version of the radial reduction formalism to obtain a cubic interaction of higher spin gauge fields in $AdS_{d+1}$ space from the corresponding cubic interaction in a flat $d+2$ dimensional background. We modify the radial reduction procedure proposed previously by T. Biswas and W. Siegel in 2002 and applied to the free higher spin Lagrangian by K. Hallowell and A. Waldron in 2005. This modified radial reduction scheme is applied to interacting massless higher spin fields in Fronsdal's formulation, and all results are expressed in a direct $AdS_{d+1}$ invariant way with $AdS$ covariant derivatives. We present a consistent algorithm and define new procedure to obtain all corrections proportional to powers of the cosmological constant, and apply these to the main term of the cubic self-interaction.Open AccessRadial Reduction and Cubic Interaction for Higher Spins in (A)dS space
We present a new version of the radial reduction formalism to obtain a cubic interaction of higher spin gauge fields in $AdS_{d+1}$ space from the corresponding cubic interaction in a flat $d+2$ dimensional background. We modify the radial reduction procedure proposed previously by T. Biswas and W. Siegel in 2002 and applied to the free higher spin Lagrangian by K. Hallowell and A. Waldron in 2005. This modified radial reduction scheme is applied to interacting massless higher spin fields in Fronsdal's formulation, and all results are expressed in a direct $AdS_{d+1}$ invariant way with $AdS$ covariant derivatives. We present a consistent algorithm and define new procedure to obtain all corrections proportional to powers of the cosmological constant, and apply these to the main term of the cubic self-interaction. - Open Access
General trilinear interaction for arbitrary even higher spin gauge fields
Using Noether's procedure we present a complete solution for the trilinear interactions of arbitrary spins $s_{1},s_{2}, s_{3}$ in a flat background, and discuss the possibility to enlarge this construction to higher order interactions in the gauge field. Some classification theorems of the cubic (self)interaction with different numbers of derivatives and depending on relations between the spins are presented. Finally the expansion of a general spin $s$ gauge transformation into powers of the field and the related closure of the gauge algebra in the general case are discussed.Open AccessGeneral trilinear interaction for arbitrary even higher spin gauge fields
Using Noether's procedure we present a complete solution for the trilinear interactions of arbitrary spins $s_{1},s_{2}, s_{3}$ in a flat background, and discuss the possibility to enlarge this construction to higher order interactions in the gauge field. Some classification theorems of the cubic (self)interaction with different numbers of derivatives and depending on relations between the spins are presented. Finally the expansion of a general spin $s$ gauge transformation into powers of the field and the related closure of the gauge algebra in the general case are discussed. - Open Access
- 9 May 2011
- Published by Elsevier in Physics Letters B
- Vol. 699 (3) , 187-191
On nonlinear higher spin curvature
- 9 May 2011
- Published by Elsevier in Physics Letters B
- Vol. 699 (3) , 187-191
Open AccessOn nonlinear higher spin curvature
- Open Access
Direct construction of a cubic selfinteraction for higher spin gauge fields
Using Noether's procedure we directly construct a complete cubic selfinteraction for the case of spin s=4 in a flat background and discuss the cubic selfinteraction for general spin s with s derivatives in the same background. The leading term of the latter interaction together with the leading gauge transformation of first field order are presented.
Open AccessDirect construction of a cubic selfinteraction for higher spin gauge fields
Using Noether's procedure we directly construct a complete cubic selfinteraction for the case of spin s=4 in a flat background and discuss the cubic selfinteraction for general spin s with s derivatives in the same background. The leading term of the latter interaction together with the leading gauge transformation of first field order are presented.
- 1 March 2010
- Published by Pleiades Publishing Ltd in Physics of Atomic Nuclei
- Vol. 73 (3) , 518-523
Local interactions of higher-spin potentials that are gauge invariant in linear approximation
We study connected Wightman functions of N conserved currents, each of which is formed from a scalar field and has even spin l i . The UV divergence of this vertex function is regularized by the analytic continuation in the space dimension D → D − ε. We evaluate the residue of ε −1 only, which is a local interaction Lagrangian density and gauge invariant in linear approximation. The text was submitted by the author in English.
- 1 March 2010
- Published by Pleiades Publishing Ltd in Physics of Atomic Nuclei
- Vol. 73 (3) , 518-523
Local interactions of higher-spin potentials that are gauge invariant in linear approximation
We study connected Wightman functions of N conserved currents, each of which is formed from a scalar field and has even spin l i . The UV divergence of this vertex function is regularized by the analytic continuation in the space dimension D → D − ε. We evaluate the residue of ε −1 only, which is a local interaction Lagrangian density and gauge invariant in linear approximation. The text was submitted by the author in English.
- Open Access
Off-shell construction of some trilinear higher spin gauge field interactions
Several trilinear interactions of higher spin fields involving two equal ($s=s_{1}=s_{2}$) and one higher even ($s_{3}\geq 2s$) spin are presented. Interactions are constructed on the Lagrangian level using Noether's procedure together with the corresponding next to free level fields of the gauge transformations. In certain cases when the number of derivatives in the transformation is $2s-1$ the interactions lead to the currents constructed from the generalization of the gravitational Bell-Robinson tensors. In other cases when the number of derivatives in the transformation is more than $2s-1$ we obtain the finite tower of interactions with smaller even spins less than $s_{3}$ in full agreement with our previous results for the interaction of the higher even spins field with a conformal scalar [1,2].Open AccessOff-shell construction of some trilinear higher spin gauge field interactions
Several trilinear interactions of higher spin fields involving two equal ($s=s_{1}=s_{2}$) and one higher even ($s_{3}\geq 2s$) spin are presented. Interactions are constructed on the Lagrangian level using Noether's procedure together with the corresponding next to free level fields of the gauge transformations. In certain cases when the number of derivatives in the transformation is $2s-1$ the interactions lead to the currents constructed from the generalization of the gravitational Bell-Robinson tensors. In other cases when the number of derivatives in the transformation is more than $2s-1$ we obtain the finite tower of interactions with smaller even spins less than $s_{3}$ in full agreement with our previous results for the interaction of the higher even spins field with a conformal scalar [1,2]. - Open Access
Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
The ultraviolet singular structure of the bulk-to-bulk propagators for higher spin gauge fields in $AdS_{4}$ space is analyzed in details. Possible interactions with the Higgs scalar and the corresponding one loop mass renormalization are studied. This mass renormalization is finite and connected with the anomalous dimensions of those currents in the corresponding boundary $CFT_{3}$ that cease to be conserved when the interaction is switched on. In particular it is proportional to $\ell-2$.Open AccessUltraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
The ultraviolet singular structure of the bulk-to-bulk propagators for higher spin gauge fields in $AdS_{4}$ space is analyzed in details. Possible interactions with the Higgs scalar and the corresponding one loop mass renormalization are studied. This mass renormalization is finite and connected with the anomalous dimensions of those currents in the corresponding boundary $CFT_{3}$ that cease to be conserved when the interaction is switched on. In particular it is proportional to $\ell-2$. - Open Access
Generalized Curvature and Ricci Tensors for a Higher Spin Potential and the Trace Anomaly in External Higher Spin Fields in AdS_{4} Space
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 obtained from the quadratic part of the effective action for a conformally coupled scalar with linearized interaction with the external higher spin fields arXiv:hep-th/0602067. The spin is restricted to four to profit from technical simplifications but without reducing the problem in principle. The issue includes the calculation of all Ricci tensors as multiple traces of the curvature, the derivation of all primary and secondary Bianchi identities, expressing all Ricci tensors as differential operators applied to the Fronsdal term, calculating the Weyl variation of these, and showing finally that Weyl variations of integrals over contracted squares of Ricci tensors can be used to eliminate the anomaly completely. This peculiarity is discussed in detail. As tools we use the formalism of bisymmetric tensor fields whose space is equipped with a local bilinear invariant form, the *-form.
Open AccessGeneralized Curvature and Ricci Tensors for a Higher Spin Potential and the Trace Anomaly in External Higher Spin Fields in AdS_{4} Space
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 obtained from the quadratic part of the effective action for a conformally coupled scalar with linearized interaction with the external higher spin fields arXiv:hep-th/0602067. The spin is restricted to four to profit from technical simplifications but without reducing the problem in principle. The issue includes the calculation of all Ricci tensors as multiple traces of the curvature, the derivation of all primary and secondary Bianchi identities, expressing all Ricci tensors as differential operators applied to the Fronsdal term, calculating the Weyl variation of these, and showing finally that Weyl variations of integrals over contracted squares of Ricci tensors can be used to eliminate the anomaly completely. This peculiarity is discussed in detail. As tools we use the formalism of bisymmetric tensor fields whose space is equipped with a local bilinear invariant form, the *-form.
- Open Access
The Generalized Curvature and Christoffel Symbols for a Higher Spin Potential in AdS_{d+1} Space
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 resulting set of recurrence relations and difference equations is solved. The Riemann curvature tensor is derived by antisymmetrization. All results are presented as finite power series in the inverse AdS radius and are unique. The fourth order, which is complete for fields up to spin five, is calculated explicitly. Higher orders can be obtained with the same method.
Open AccessThe Generalized Curvature and Christoffel Symbols for a Higher Spin Potential in AdS_{d+1} Space
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 resulting set of recurrence relations and difference equations is solved. The Riemann curvature tensor is derived by antisymmetrization. All results are presented as finite power series in the inverse AdS radius and are unique. The fourth order, which is complete for fields up to spin five, is calculated explicitly. Higher orders can be obtained with the same method.