Holographic walking from tachyon DBI

Abstract

We use holography to study conformal phase transitions, which are believed to be realized in four dimensional QCD and play an important role in walking technicolor models of electroweak symmetry breaking. At strong coupling they can be modeled by the non-linear dynamics of a tachyonic scalar field with mass close to the Breitenlohner–Freedman bound in anti-de Sitter spacetime. Taking the action for this field to have a tachyon-Dirac–Born–Infeld form gives rise to models that resemble hard and soft wall AdS/QCD, with a dynamically generated wall. For hard wall models, the highly excited spectrum has the KK form mn∼n; in the soft wall case we exhibit potentials with mn∼nα, 0<α⩽1/2. We investigate the finite temperature phase structure and find first or second order symmetry restoration transitions, depending on the behavior of the potential near the origin of field space.