Weyl-invariant Higher Curvature Gravity Theories in n Dimensions and Mass Generation by Symmetry Breaking
arXiv:1409.5371
Abstract
Weyl-invariant extensions of three-dimensional New Massive Gravity, generic n-dimensional Quadratic Curvature Gravity theories and three-dimensional Born-Infeld gravity theory are analyzed in details. As required by Weyl-invariance, the actions of these gauge theories do not contain any dimensionful parameter; therefore the local symmetry is spontaneously broken in (Anti) de Sitter vacua in analogy with the Standard Model Higgs mechanism. About the flat vacuum, symmetry breaking mechanism is more complicated: The conformal symmetry is radiatively broken (at two loop level in 3-dimensions and at one-loop level in 4-dimensions) a la Coleman-Weinberg mechanism and hence the dimensionful parameters come from dimensional transmutation in the quantum field theory. In the broken phases, save for New Massive Gravity, the theories generically propagate with a unitary (tachyon and ghost-free) massless tensor, massive (or massless) vector and massless scalar particles for the particular intervals of the dimensionless parameters. For New Massive Gravity, there is a massive Fierz-Pauli-type graviton. Finally, it is shown that n-dimensional Weyl-invariant Einstein-Gauss-Bonnet theory is the only unitary higher dimensional Weyl-invariant Quadratic Curvature Gravity theory.
arXiv comment95 pages, v2, PhD thesis submitted to METU Physics Dept (Supervisor: Bayram Tekin), title changed in arxiv version, minor corrections made, references added
References in corpus (37)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
- Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
- The Black Hole in Three Dimensional Space Time
- The Dynamics of General Relativity
- Massive Gravity in Three Dimensions
- Energy in Generic Higher Curvature Gravity Theories
- Chiral Gravity in Three Dimensions
- More on Massive 3D Gravity
- Gravitational Energy in Quadratic Curvature Gravities
- Instability in cosmological topologically massive gravity at the chiral point
- 3+1 Formalism and Bases of Numerical Relativity
- Chiral Gravity, Log Gravity and Extremal CFT
- A class of elementary particle models without any adjustable real parameters
- Ghost-free, finite, fourth order D=3 (alas) gravity
- On the new massive gravity and AdS/CFT
- The Higgs Phenomenon in Quantum Gravity
- Conformal Quantum Gravity with the Gauss-Bonnet Term
- New massive gravity, extended
- Massive Higher Derivative Gravity in D-dimensional Anti-de Sitter Spacetimes
- c-functions in the Born-Infeld extended New Massive Gravity
- Unitarity analysis of general Born-Infeld gravity theories
- Holographic Renormalization of New Massive Gravity
- RG flow of Weyl-invariant dilaton gravity
- Broken Weyl-Invariance and the Origin of Mass
- Canonical Structure of Higher Derivative Gravity in 3D
- Spontaneous Symmetry Breaking at Two Loop in 3-d Massless Scalar Electrodynamics
- Maxwell-Chern-Simons Scalar Electrodynamics at Two Loop
- New Massive Gravity and AdS_4 counterterms
- Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
- Weyl-Invariant Higher Curvature Gravity Theories in n Dimensions
- Unitarity versus Renormalizability of Higher Derivative Gravity in 3D
- Weyl-gauging of Topologically Massive Gravity
- Gravitons in Flatland
- Unitarity of Weyl-Invariant New Massive Gravity and Generation of Graviton Mass via Symmetry Breaking
- A Note on Noncompact and Nonmetricit Quadratic Curvature Gravity Theories
- 3+1 Orthogonal and Conformal Decomposition of the Einstein Equation and the ADM Formalism for General Relativity