Date of Award
Honors Thesis (Colby Access Only)
Colby College. Physics and Astronomy Dept.
Gravity is explored as a gauge theory in the Poincare group. Vierbein formalism is used and torsion is included in the theory to incorporate fermions into the theory of general relativity. Specifically, spontaneous and explicit breaking of the translation symmetry is studied in a simple model in flat spacetime. The associated Nambu- Goldstone modes are explored. Then in a general model with gravity in Riemann- Cartan spacetime, Noether’s identities from Lorentz invariance and diffeomorphism invariance are compared with Noether’s identites from the Poincare invariance. We find that the Poincare transformation gives exactly the same Noether’s identities as those from using Lorentz invariance and diffeomorphism invariance. This shows that gravity can be described as a gauge theory in the Poincare group.
General Relativity, gravity, torsion, diffeomorphism, translation, fundamental symmetry
Recommended CitationZhi, Yu, "Gravity as a Gauge Theory in the Poincare Group" (2022). Honors Theses. Paper 1336.