Abstract: 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 phenomena in the boundary system. From the study of the phase diagram, we suggest the gaped phase induced by the instanton to a topological insulator.
Abstract: We present a new view of renormalization: it is a reorganization of physical quantities in terms of observables in effective field theory. This enables us to understand the meaning of what were previously regarded as technicalities: naturalness, gauge symmetry, regularization and scheme dependence. In particular, we apply it to the scalar mass to illustrate its power-law running and shed light on the hierarchy problem.