Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes

AJ Silenko - Physical Review D, 2018 - APS
Relativistic quantum mechanics of a Proca (spin-1) particle in Riemannian spacetimes is
constructed. Covariant equations defining electromagnetic interactions of a Proca particle …

Einstein‐Proca model: spherically symmetric solutions

YN Obukhov, EJ Vlachynsky - Annalen der Physik, 1999 - Wiley Online Library
The Proca wave equation describes a classical massive spin 1 particle. We analyze the
gravitational interaction of this vector field. In particular, the spherically symmetric solutions …

Group approach to quantization of Yang-Mills theories: a cohomological origin of mass

M Calixto, V Aldaya - Journal of Physics A: Mathematical and …, 1999 - iopscience.iop.org
New clues for the best understanding of the nature of the symmetry-breaking mechanism are
revealed in this paper. A revision of the standard gauge transformation properties of Yang …

Group quantization on configuration space: Gauge symmetries and linear fields

M Navarro, V Aldaya, M Calixto - Journal of Mathematical Physics, 1997 - pubs.aip.org
A new, configuration-space picture of a formalism of group quantization, the GAQ formalism,
is presented in the context of a previous algebraic generalization. This presentation serves …

Gauge transformation properties of vector and tensor potentials revisited: a group quantization approach

M Calixto, V Aldaya - International Journal of Modern Physics A, 2000 - World Scientific
The possibility of nontrivial representations of the gauge group on wave functionals of a
gauge invariant quantum field theory leads to a generation of mass for intermediate vector …

Beyond standard gauge theory: Extended gauge and diffeomorphism symmetry and mass generation

V Aldaya, E Sanchez-Sastre, M Calixto - Reports on Mathematical Physics, 2007 - Elsevier
The standard gauge theory for internal as well as space-time symmetries is revisited. Then
we propose an extension of the gauge and diffeomorphism symmetry allowing for infinitely …

Spacetime structures from critical values in two-dimensional quantum gravity

V Aldaya, JL Jaramillo - Classical and Quantum Gravity, 2000 - iopscience.iop.org
A model for two-dimensional (2D) quantum gravity is constructed out of the Virasoro group.
To this end the quantization of the abstract Virasoro group is revisited. For the critical values …

Algebraic characterization of constraints and generation of mass in gauge theories

M Calixto, V Aldaya - Nuclear Physics B-Proceedings Supplements, 2000 - Elsevier
The possibility of non-trivial representations of the gauge group on wavefunctionals of a
gauge invariant quantum field theory leads to a generation of mass for intermediate vector …

Modular invariance on the torus and Abelian Chern–Simons theory

J Guerrero, M Calixto, V Aldaya - Journal of Mathematical Physics, 1999 - pubs.aip.org
The implementation of modular invariance on the torus as a phase space at the quantum
level is discussed in a group-theoretical framework. Unlike the classical case, at the …

On the amplification of cosmological non-Maxwellian fields in curved background

AL Oliveira - Modern Physics Letters A, 2001 - World Scientific
We study the influence of the gravitational field of Friedmann geometries upon an
electromagnetic potential, through the Proca electromagnetic theory in a Dirac æther. The …