@article{71, keywords = {Analysis, Astronomy, Astrophysics and Cosmology, Black holes, Charging, Cosmological constant, Dependence, Electrodynamics, Electromagnetic coupling, Electromagnetism, Elementary Particles, Hadrons, Heavy Ions, Mathematical analysis, Measurement Science and Instrumentation, Nuclear Energy, Nuclear Physics, Physics, Physics and Astronomy, Quantum Field Theories, Quantum Field Theory, Regular Article - Theoretical Physics, String Theory, Thermodynamic properties, Thermodynamics}, author = {{\'A}ngel Rinc{\'o}n and Ernesto Contreras and Pedro Bargue{\~n}o and Benjamin Koch and Grigorios Panotopoulos}, title = {Scale-dependent (2+1)-dimensional electrically charged black holes in Einstein-power-Maxwell theory}, abstract = {Abstract In this work we extend and generalize our previous work on the scale dependence at the level of the effective action of black holes in the presence of non-linear electrodynamics. In particular, we consider the Einstein-power-Maxwell theory without a cosmological constant in ($$2+1$$ 2+1 ) dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling and we investigate in detail how the scale-dependent scenario affects the horizon and thermodynamic properties of the classical black holes for any value of the power parameter. In addition, we solve the corresponding effective field equations imposing the {\textquotedblleft}null energy condition{\textquotedblright} in order to obtain analytical solutions. The implications of quantum corrections are also briefly discussed.;In this work we extend and generalize our previous work on the scale dependence at the level of the effective action of black holes in the presence of non-linear electrodynamics. In particular, we consider the Einstein-power-Maxwell theory without a cosmological constant in ( 2 + 1 ) dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling and we investigate in detail how the scale-dependent scenario affects the horizon and thermodynamic properties of the classical black holes for any value of the power parameter. In addition, we solve the corresponding effective field equations imposing the {\textquotedblleft}null energy condition{\textquotedblright} in order to obtain analytical solutions. The implications of quantum corrections are also briefly discussed.;In this work we extend and generalize our previous work on the scale dependence at the level of the effective action of black holes in the presence of non-linear electrodynamics. In particular, we consider the Einstein-power-Maxwell theory without a cosmological constant in ( [Formula omitted]) dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling and we investigate in detail how the scale-dependent scenario affects the horizon and thermodynamic properties of the classical black holes for any value of the power parameter. In addition, we solve the corresponding effective field equations imposing the "null energy condition" in order to obtain analytical solutions. The implications of quantum corrections are also briefly discussed.;In this work we extend and generalize our previous work on the scale dependence at the level of the effective action of black holes in the presence of non-linear electrodynamics. In particular, we consider the Einstein-power-Maxwell theory without a cosmological constant in (\[2+1\]) dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling and we investigate in detail how the scale-dependent scenario affects the horizon and thermodynamic properties of the classical black holes for any value of the power parameter. In addition, we solve the corresponding effective field equations imposing the {\textquotedblleft}null energy condition{\textquotedblright} in order to obtain analytical solutions. The implications of quantum corrections are also briefly discussed.;}, year = {2018}, journal = {The European physical journal. C, Particles and fields}, volume = {78}, number = {8}, pages = {1-11}, isbn = {1434-6044}, language = {English}, }