5 papers
Conformal anomaly in a vector field model with auxiliary scalar field
Samuel W. P. Oliveira, Públio Rwany B. R. do Vale, Ilya L. Shapiro
The conformal anomaly has well-known ambiguities related to the possible schemes of regularization and renormalization. In case of dimensional regularization, one of the options is…
Cosmological Singularities and Quantum Particles
Samuel W. P. Oliveira, Alexander Yu. Kamenshchik
We study if there is an opportunity to describe quantum particles in the vicinity of three types of cosmological singularities, big bang-big crunch, big rip and big brake. Writing…
Trace anomaly for a conformal 2D vector field model
Samuel W. P. Oliveira, Ilya L. Shapiro
The trace anomaly and anomaly-induced action are evaluated for the two-dimensional vector theory with classical conformal symmetry. Implementing local conformal symmetry while…
Bounce solutions with quantum vacuum effects of massive fields and subsequent Starobinsky inflation
Wagno Cesar e Silva, Samuel W. P. Oliveira, Ilya L. Shapiro
We extend the previous work about the cosmological solutions with a bounce without modifications of gravity or introducing an extra scalar field. The main finding was that the boun…
Pauli equation and charged spin-1/2 particle in a weak gravitational field
Samuel W. P. Oliveira, Guilherme Y. Oyadomari, Ilya L. Shapiro
Using the nonrelativistic approximation in the curved-space Dirac equation, the analog of the Pauli equation is derived for a weak gravitational field with a gauge fixing condition…