On Massive Gravity from Symmetry Breaking and Dimensional Reduction of Chern-Simons Gauge Theory

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Soltani, Sina | 2021

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 53754 (04)
University: Sharif University of Technology
Department: Physics Science
Advisor(s): Torabian, Mahdi
Abstract:
The dRGT theory of massive gravity is a consistent theory of interacting massive spin 2 particles. As an effective field theory compared to observational data, its UV cutoff is rather low. Namely, unitarity is violated at low energies in scattering of longitudinal modes. In this dissertation, we give a brief review of the dRGT theory and its challenges. Of particular interest is the question of its UV completion in a more consistent model. Then, we show that this theory can be obtained from a topological gauge theory in one higher dimension. After dimensional reduction and symmetry breaking via boundary conditions, we obtained four dimensional effective field theories including the dRGT plus extra degrees of freedom and interactions. We study possible solutions to alleviate bad UV behavior of four dimensional massive gravity. Through computing scattering amplitudes, we try to get an insight what properties a possible UV completion must have
Keywords:
Massive Gravity ; Chern-Simons Gravity ; Ultraviolet Cutoff ; dRGT Massive Gravity Theory ; Kaluza-Klein Modes