Unitarity of Weyl-invariant new massive gravity and generation of graviton mass via symmetry breaking

Download
2012-03-06
Tanhayi, M. Reza
Dengiz, Suat
Tekin, Bayram
We give a detailed analysis of the particle spectrum and the perturbative unitarity of the recently introduced Weyl-invariant version of the new massive gravity in 2 + 1 dimensions. By computing the action up to second order in the fluctuations of the metric, the gauge and the scalar fields around the anti-de Sitter (AdS) and flat vacua, we find that the theory describes unitary (tachyon and ghost-free) massive spin-2, massive (or massless) spin-1 and massless spin-0 excitations for certain ranges of the dimensionless parameters. The theory is not unitary in de Sitter space. Scale invariance is either broken spontaneously (in AdS background) or radiatively (in flat background) and hence the masses of the particles are generated either spontaneously or at the second loop order.
PHYSICAL REVIEW D

Suggestions

Magnetic symmetries and vortices in Chern-Simons theories
Dunne, G; Kovner, A; Tekin, Bayram (2001-01-15)
We study the locality properties of the vortex operators in compact U(1) Maxwell-Chern-Simons and SU(N) Yang-Mills-Chem-Simons theories in 2+1 dimensions. We find that these theories do admit local vortex operators and thus in the UV regularized versions should contain stable magnetic vortices. In the continuum limit however the energy of these vortex excitations generically is logarithmically UV divergent. Nevertheless the classical analysis shows that at small values of the CS coefficient kappa the vortic...
Higgs mechanism for new massive gravity and Weyl-invariant extensions of higher-derivative theories
Dengiz, Suat; Tekin, Bayram (American Physical Society (APS), 2011-07-19)
New massive gravity provides a nonlinear extension of the Fierz-Pauli mass for gravitons in 2 + 1 dimensions. Here we construct a Weyl-invariant version of this theory. When the Weyl symmetry is broken, the graviton gets a mass in analogy with the Higgs mechanism. In (anti)-de Sitter backgrounds, the symmetry can be broken spontaneously, but in flat backgrounds radiative corrections, at the two-loop level, break the Weyl symmetry a la Coleman-Weinberg mechanism. We also construct the Weyl-invariant extensio...
Eigenvalues of the two-dimensional Schrodinger equation with nonseparable potentials
Taşeli, Hasan (Wiley, 1996-08-05)
The energy eigenvalues of coupled oscillators in two dimensions with quartic and sextic couplings have been calculated to a high accuracy. For this purpose, unbounded domain of the wave function has been truncated and various combination of trigonometric functions are employed as the basis sets in a Rayleigh-Ritz variational method. The method is applicable to the multiwell oscillators as well. (C) 1996 John Wiley & Sons, Inc.
Scalar waves in a wormhole topology
Bugdayci, Necmi (World Scientific Pub Co Pte Lt, 2006-05-01)
Global monochromatic solutions of the scalar wave equation axe obtained in flat wormholes of dimensions (2+1) and (3+1). The solutions are in the form of infinite series involving cylindrical and spherical wave functions, and they are elucidated by the multiple scattering method. Explicit solutions for some limiting cases are illustrated as well. The results presented in this work constitute instances of solutions of the scalar wave equation in a space-time admitting closed time-like curves.
Exact solutions and the consistency of 3D minimal massive gravity
Altas, Emel; Tekin, Bayram (2015-07-20)
We show that all algebraic type-O, type-N and type-D and some Kundt-type solutions of topologically massive gravity are inherited by its holographically well-defined deformation, that is, the recently found minimal massive gravity. This construction provides a large class of constant scalar curvature solutions to the theory. We also study the consistency of the field equations both in the source-free and matter-coupled cases. Since the field equations of MMG do not come from a Lagrangian that depends on the...
Citation Formats
M. R. Tanhayi, S. Dengiz, and B. Tekin, “Unitarity of Weyl-invariant new massive gravity and generation of graviton mass via symmetry breaking,” PHYSICAL REVIEW D, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43372.