2006/05/15 by Robert C. Myers, Robert Charles Myers, Rowan M. Thomson · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Cosmology and Gravitation Theories #Coupling (piping) #Fundamental representation #Mass gap #Mass spectrum #Mathematical physics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Quark #Quarkonium #Spectral line #Spectrum (functional analysis) #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/09/066
published as JHEP0609:066,2006 · 44 pages, 2 figures; v2: typos corrected, references added
arxiv created 2006/05/15 · openalex publication_date 2006/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the spectrum of fluctuations of a probe Dk-brane in the background of N Dp-branes, for k=p,p+2,p+4 and p< 5. The result corresponds to the mesonic spectrum of a (p+1)-dimensional super-Yang-Mills (SYM) theory coupled to `dynamical quarks', i.e., fields in the fundamental representation -- the latter are confined to a defect for k=p and p+2. We find a universal behaviour where the spectrum is discrete and the mesons are deeply bound. The mass gap and spectrum are set by the scale M ~ mq/geff(mq), where mq is the mass of the fundamental fields and geff(mq) is the effective coupling evaluated at the quark mass, i.e. geff2(mq)=gym2 N mqp-3. We consider the evolution of the meson spectra into the far infrared of three-dimensional SYM, where the gravity dual lifts to M-theory. We also argue that the mass scale appearing in the meson spectra is dictated by holography.