INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
capítulos de libros
Scalar potentials, propagators and global symmetries in AdS/CFT
BAJC, BORUT; LUGO, ADRIÁN R.
Cosmology and Particle Physics beyond Standard Models : Ten Years of the SEENET-MTP Network
Lugar: Geneva; Año: 2014; p. 25 - 45
We study the transition of a scalar field in a fixed AdSd+1 background between an extremum and a minimum of a potential. We first prove that two conditions must be met for the solution to exist. First, the potential involved cannot be generic, i.e. a fine-tuning of their parameters is mandatory. Second, at least in some region its second derivative must have a negative upper limit which depends only on the dimensionality d. We then calculate the boundary propagator for small momenta in two different ways: first in a WKB approximation, and second with the usual matching method, generalizing the known calculation to arbitrary order. Finally, we study a system with spontaneously broken non-Abelian global symmetry, and show in the holographic language why the Goldstone modes appear.