2010/12/31 by Johanna Erdmenger, Veselin G. Filev, Veselin Filev · 15 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Anti-de Sitter space #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Linguistics #Mathematical physics #Meson #Particle physics #Philosophy #Physics #Quantum mechanics #Space (punctuation) #Theoretical physics #Universe #de Sitter invariant special relativity #hep-th
paper · pdf · doi:10.1007/jhep01(2011)119
published in Journal of High Energy Physics 2011(1) (Springer Nature) · 43 pages, 8 figures, references edited, few typos corrected, updated to match the published version
openalex publication_date 2011/01/01 · arxiv created 2011/01/25 · arxiv updated 2015/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the context of gauge/gravity duality, we study both probe D7-- and probe D5--branes in global Anti-de Sitter space. The dual field theory is N=4 theory on R x S3 with added flavour. The branes undergo a geometrical phase transition in this geometry as function of the bare quark mass mq in units of 1/R with R the S3 radius. The meson spectra are obtained from fluctuations of the brane probes. First, we study them numerically for finite quark mass through the phase transition. Moreover, at zero quark mass we calculate the meson spectra analytically both in supergravity and in free field theory on R x S3 and find that the results match: For the chiral primaries, the lowest level is given by the zero point energy or by the scaling dimension of the operator corresponding to the fluctuations, respectively. The higher levels are equidistant. Similar results apply to the descendents. Our results confirm the physical interpretation that the mesons cannot pair-produce any further when their zero-point energy exceeds their binding energy.