Dynamical couplings, dynamical vacuum energy and confinement/deconfinement from -gravity

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• 作者：Eduardo Guendelman^a ; ^{guendel@bgu.ac.il} ; Alexander Kaganovich^a ; ^{alexk@bgu.ac.il} ; Emil Nissimov^b ; ^{nissimov@inrne.bas.bg} ; Svetlana Pacheva^b ; ^{svetlana@inrne.bas.bg}
• 关键词：Palatini formalism ; f(R)-gravity ; Confining nonlinear gauge field system ; Dynamical couplings ; Dynamical cosmological constant ; Black holes with confining electric potential ; Generalized Levi-Civita&ndash ; Bertotti&ndash ; Robinson space&ndash ; times
• 刊名：Physics Letters B
• 出版年：2013
• 出版时间：8 January, 2013
• 年：2013
• 卷：718
• 期：3
• 页码：1099-1104
• 全文大小：191 K

文摘

We study within Palatini formalism an -gravity with 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-Nordstr?m black holes with additional constant vacuum electric field and having non-flat-space-time ¡°hedgehog¡± asymptotics; (iii) generalized Levi-Civita-Bertotti-Robinson ¡°tube-like¡± space-times.