'Square Root' of the Maxwell Lagrangian versus confinement in general relativity

Abstract

We employ the 'square root' of the Maxwell Lagrangian (i.e. \surd(F_{μν}F^{μν})), coupled with gravity to search for the possible linear potentials which are believed to play role in confinement. It is found that in the presence of magnetic charge no confining potential exists in such a model. Confining field solutions are found for radial geodesics in pure electrically charged Nariai- Bertotti-Robinson (NBR)-type spacetime with constant scalar curvature. Recently, Guendelman, Kaganovich, Nissimov and Pacheva, [Phys.Lett.B704(2011)230] have shown that superposed square root with standard Maxwell Lagrangians yields confining potentials in spherically symmetric spacetimes with new generalized Reissner-Nordström-de Sitter / -anti-de Sitter black hole solutions. In NBR spacetimes we show that confining potentials exist even when the standard Maxwell Lagrangian is relaxed.

5 pages, 0 figures, accepted for publication in Phys. Lett. B

References in corpus (7)

• Higher-dimensional black holes with a conformally invariant Maxwell source
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Lovelock black holes with a nonlinear Maxwell field
• Confinement from spontaneous breaking of scale symmetry
• Static potential from spontaneous breaking of scale symmetry
• Bags and Confinement Governed by S.S.B. of Scale Invariance
• Strong Interaction Dynamics from Spontaneous Symmetry Breaking of Scale Invariance

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