2024/01/27 by Jaime Manuel Cabrera, Cabrera, Jaime Manuel, Jorge Mauricio Paulin Fuentes +1
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements
paper · pdf · doi:10.48550/arxiv.2401.15494
openalex publication_date 2024/01/27 · openalex created_date 2024/01/31 · openalex updated_date 2026/07/28
We examine the model of Two-Dimensional Quadratic Gravity as a consequence of symmetry breaking within the framework of background field (BF) theory. This theory is essentially an extension of BF theory, introducing an additional polynomial term that operates on both the gauge and background fields. We analyze the theory using the Dirac and Faddeev-Jackiw procedures, determining the form of the gauge transformation, the full structure of the constraints, the counting of degrees of freedom, and the generalized Faddeev-Jackiw brackets. Additionally, we demonstrate the coincidence of the Faddeev-Jackiw and Dirac's brackets. Finally, we provide some remarks and discuss prospects.