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arXiv · 1207.6775

Dynamical Couplings, Dynamical Vacuum Energy and Confinement/Deconfinement from R^2-Gravity

Eduardo Guendelman·Alexander Kaganovich·Emil Nissimov·Svetlana Pacheva
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Abstract

We study within Palatini formalism an f(R)-gravity with f(R)= R + αR^2 interacting with a dilaton and a special kind of nonlinear gauge field system containing a square-root of the standard Maxwell term, which is known to produce confinement in flat space-time. Reformulating the model in the physical Einstein frame we find scalar field effective potential with a flat region where the confinement dynamics disappears, while in other regions it remains intact. The effective gauge couplings as well as the induced cosmological constant become dynamical. In particular, a conventional Maxwell kinetic term for the gauge field is dynamically generated even if absent in the original theory. We find few interesting classes of explicit solutions: (i) asymptotically (anti-)de Sitter black holes of non-standard type with additional confining vacuum electric potential even for the electrically neutral ones; (ii) non-standard Reissner-Nordstroem black holes with additional constant vacuum electric field and having non-flat-spacetime "hedgehog" asymptotics; (iii) generalized Levi-Civitta-Bertotti-Robinson "tube-like" space-times.

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Eduardo Guendelman, Alexander Kaganovich, Emil Nissimov, Svetlana Pacheva. 2012-07-29. Dynamical Couplings, Dynamical Vacuum Energy and Confinement/Deconfinement from R^2-Gravity. https://doi.org/10.1016/j.physletb.2012.11.028

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