2014/06/30 by M. Ali-Akbari, M Ali-Akbari, Z. Rezaei +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Duality (order theory) #Gauge (firearms) #Instability #Meson #Minkowski space #Phase transition #Quantum Electrodynamics and Casimir Effect #Quarkonium #Thermal #Thermal fluctuations #hep-ph #hep-th
paper · pdf · doi:10.1088/0954-3899/42/7/075001
published as J. Phys. G: Nucl. Part. Phys. 42 (2015) 075001 · 18 pages, 7 figures
openalex publication_date 2015/05/20 · arxiv created 2016/06/20 · arxiv updated 2016/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We use gauge/gravity duality to investigate the effect of thermal fluctuations on the dissociation of the quarkonium mesons in strongly coupled (3+1)-dimensional gauge theories. The purpose of this paper is to introduce a new approach to study the instability and probable first-order phase transition of a probe D7-brane in the dual gravity theory. We explicitly show that for the Minkowski embeddings with their tips close to the horizon in the background, the long wavelength thermal fluctuations lead to an imaginary term in their action, signaling an instability in the system. Due to this instability, a phase transition is expected. On the gauge theory side, it indicates that the quarkonium mesons are not stable and dissociate in the plasma. Identifying the imaginary part of the probe brane action with the thermal width of the mesons, we observe that the thermal width increases as one decreases the mass of the quarks. Also keeping the mass fixed, thermal width increases by temperature as expected. We will also investigate the effect of the magnetic field on the mass and the thermal width.