2017/09/30 by Riccardo Argurio, Jelle Hartong, Andrea Marzolla +1
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Continuous symmetry #Cosmology and Gravitation Theories #Critical phenomena #Global symmetry #Goldstone boson #Massless particle #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Scaling #Spontaneous symmetry breaking #Symmetry breaking #hep-th
paper · pdf · doi:10.1007/jhep02(2018)053
39 pages, 3 figures. v2: a few clarifying comments added, matches published version
openalex created_date 2017/10/06 · openalex publication_date 2018/02/01 · arxiv created 2018/02/02 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
We study holographically Lifshitz-scaling theories with broken symmetries. In order to do this, we set up a bulk action with a complex scalar and a massless vector on a background which consists in a Lifshitz metric and a massive vector. We first study separately the complex scalar and the massless vector, finding a similar pattern in the twopoint functions that we can compute analytically. By coupling the probe complex scalar to the background massive vector we can construct probe actions that are more general than the usual Klein-Gordon action. Some of these actions have Galilean boost symmetry. Finally, in the presence of a symmetry breaking scalar profile in the bulk, we reproduce the expected Ward identities of a Lifshitz-scaling theory with a broken global continuous symmetry. In the spontaneous case, the latter imply the presence of a gapless mode, the Goldstone boson, which will have dispersion relations dictated by the Lifshitz scaling.