2013/12/03 by Chanyong Park
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Angular momentum #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Dilaton #Field (mathematics) #Field theory (psychology) #Geometry #Mathematical physics #Mathematics #Momentum (technical analysis) #Physics #Quantum electrodynamics #Quantum mechanics #Quasinormal mode #Renormalization #Scalar field #Scaling #Zero mode #hep-th
paper · pdf · doi:10.1103/physrevd.89.066003
published as Phys. Rev. D 89, 066003 (2014) · 18 page
arxiv created 2013/12/03 · openalex publication_date 2014/03/06 · arxiv updated 2014/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the holographic renormalization of the Einstein-Maxwell-dilaton theory which provides an asymptotic Lifshitz geometry dual to a Lifshitz field theory. In this case, the existence of a field combination with zero scaling dimension causes an ambiguity in fixing local counterterms. Nevertheless, we show that all possible local counterterms give rise to consistent thermodynamic quantities with the Lifshitz black brane results. In addition, we also study the retarded Green functions of the current and momentum operator of a nonrelativistic Lifshitz field theory. In the nonzero momentum regime, the results show intriguingly that there exists a massive quasinormal mode whose effective mass is linearly proportional to temperature and that even at zero temperature there exists a quasinormal mode in the nonrelativistic Lifshitz medium.