TY - JOUR

T1 - Dynamical couplings, dynamical vacuum energy and confinement/deconfinement from R2-gravity

AU - Guendelman, Eduardo

AU - Kaganovich, Alexander

AU - Nissimov, Emil

AU - Pacheva, Svetlana

N1 - Funding Information:
E.G. is thankful to D. Rubiera-Garcia and G. Olmo for stimulating discussions. E.N. and S.P. are supported by Bulgarian NSF grant DO 02-257 . Also, all of us acknowledge support of our collaboration through the exchange agreement between the Ben-Gurion University and the Bulgarian Academy of Sciences .

PY - 2013/1/8

Y1 - 2013/1/8

N2 - We study within Palatini formalism an f(R)-gravity with f(R)=R+αR2 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-Nordström 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.

AB - We study within Palatini formalism an f(R)-gravity with f(R)=R+αR2 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-Nordström 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.

KW - Black holes with confining electric potential

KW - Confining nonlinear gauge field system

KW - Dynamical cosmological constant

KW - Dynamical couplings

KW - F(R)-gravity

KW - Generalized Levi-Civita-Bertotti-Robinson space-times

KW - Palatini formalism

UR - http://www.scopus.com/inward/record.url?scp=84871616060&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2012.11.028

DO - 10.1016/j.physletb.2012.11.028

M3 - Article

AN - SCOPUS:84871616060

VL - 718

SP - 1099

EP - 1104

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3

ER -