Gauge conditions in the perturbative quantization of quadratic gravity and its quantum Lagrangian
Year: 2026
Type: article
Abstract: In the perturbative formulation of the Hamiltonian of quadratic gravity, a specific gauge condition is required to hold the equivalence of the Hamiltonian equations of motion with the covariant field equations. Here we give robust evidence that this is an effect of perturbations, the exact nonperturbative equations of both formulations are equivalent, with no need of specific gauge conditions. Despite this, the required gauge condition must be imposed in the perturbative approach. We use it, together with other conditions obtained on very broad grounds, to obtain the quantum Lagrangian resulting from the integration on the canonical variables of the BFV quantization of the theory. This allow us to characterize the quantum modes from the Lagrangian perspective.
Source: Physics Letters B
Institutions: Universidad de Antofagasta, Universidad San Sebastián
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7222785930