We revisit the dynamics of black holes using the canonical approach to quantum gravity. By introducing time slices that cover both the inside and the outside of the horizon, we obtain the Wheeler-DeWitt equation. It is not possible to solve it directly, but it is possible to see potential dynamics and boundary conditions. From this, we can conclude that we cannot provide a coherent state that...
We explore O(2N) scalar theory with fractional Laplacian, √(-∇²) in d-dimension and its Hamiltonain dynamics which is described by a Schrodinger type equation. This equation is a kind of current conservation equation, where one can define a current j(φ) of a probability P(φ), where φ is the scalar field. Naturally, Gibbs entropy S=-∫ [Dφ] P(φ)log P(φ) can be considered to explore the system....
We investigate D-instanton effects on the holographic Weyl semimetal in a top-down approach. From the free energy of the D7 brane embedding solutions, we get a phase diagram in terms of the electron mass, instanton number, and temperature in the unit of the weyl parameter. We calculate non-linear conductivities from the regularity condition of the probe D7 brane and investigate anomalous Hall...
