Nuclear and Particle Physics Seminar (618 VAN) - Salvatore Quaid; University of Iowa
Apr 3, 2023
02:30 PM - 03:30 PM
30 North Dubuque Street, Iowa City, IA 52242
Quantization of Thomas-Whitehead Projective Gravity
Salvatore Quaid; University of Iowa
Beginning with a brief introduction of Thomas-Whitehead projective gravity and its relation to string theory and geodesics, the processes of quantizing the gravitational action will be discussed. Through Dirac brackets the Hamiltonian for a 2-D Minkowski background metric can be found. From here the constraint laws and equations of motion are reported. Using a left and right mover ansatz the equations of motion can be solved for gravitational radiation solutions. The angular frequencies and dispersion relations for these solutions can then be reported. Extending this to a background 2-D Polyakov metric the same method can be followed. However, to fully explore this problem symmetries for both the diffeomorphism field and the connection coefficients must be investigated.
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