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Research Interests

 

3.Finite Nonlocal Quantum Gravity
 
The greatest physicists of the 20th century were able to find a consistent (renormalizable) quantum field theory for all fundamental interactions except for gravity. Starting from quantum electrodynamics and quantum non-abelian gauge theories up to the standard model of particle physics to the recent discovery of the Higgs boson...
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2.Conformal Gravity and Singularities
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It can be proved that the class of finite quantum gravitational theories (in odd as well as in even dimensions) is actually a range of anomaly-free conformally invariant quantum theories in the spontaneously broken phase of the conformal Weyl symmetry. The fact that conformal symmetry present at classical level is preserved at quantum level allows us to address the singularity issue on the base of a fundamental symmetry principle...
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1.Lee-Wick Quantum Gravity
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Besides non-local theories we propose another ultraviolet completion of the Einstein's gravity compatible with unitarity and super-renormalizability or finiteness. These gravitational theories are local, but the special structure of the operators quadratic in the Riemann tensor allows for only the usual real graviton pole in k^2=0 and extra complex conjugates poles that do not contribute to the absorptive part of the physical scattering amplitudes...
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