| dc.description.abstract | The Quantum Null Energy Condition (QNEC) is the extension of the classical Null
Energy Condition (NEC) into the quantum physics regime. This new energy condition
relates the classical NEC to the second derivative of an entanglement entropy in the
corresponding null direction k. In this thesis, we perform an
explicit computation of the QNEC for two different geometries of the entangling region
in which we compute the entanglement entropy, namely strip-like and spherical regions,
and we do so by considering both Einstein-Hilbert and Gauss-Bonnet holographies. We
show that, in Einstein-Hilbert holography, for the strip-like regions the QNEC is always
trivially satisfied while for spheres we can encounter a saturation of the inequality depending
on how we choose the null direction k. This saturation will not show up in the
Gauss-Bonnet holography setup and, instead, we will find that the QNEC is violated
depending on the sign of the Gauss-Bonnet coupling. Therefore, these results may add
more arguments to the already existing discussion on whether the field theory dual to
Gauss-Bonnet gravity is actually physical or not. | |
