2010/09/20 by Bum-Hoon Lee, Da-Wei Pang, Chanyong Park
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1007/jhep11(2010)120
published as JHEP 1011:120,2010 · 29 pages, 1 figure
arxiv created 2010/09/20 · openalex publication_date 2010/11/01 · arxiv updated 2010/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We investigate zero sound in D-dimensional effective holographic theories, whose action is given by Einstein-Maxwell-Dilaton terms. The bulk spacetimes include both zero temperature backgrounds with anisotropic scaling symmetry and their near-extremal counterparts obtained in 1006.2124 [hep-th], while the massless charge carriers are described by probe D-branes. We discuss thermodynamics of the probe D-branes analytically. In particular, we clarify the conditions under which the specific heat is linear in the temperature, which is a characteristic feature of Fermi liquids. We also compute the retarded Green's functions in the limit of low frequency and low momentum and find quasi-particle excitations in certain regime of the parameters. The retarded Green's functions are plotted at specific values of parameters in D=4, where the specific heat is linear in the temperature and the quasi-particle excitation exists. We also calculate the AC conductivity in D-dimensions as a by-product.