Criticality, scaling and chiral symmetry breaking in external magnetic field

Jun, 2007
28 pages
Published in:
  • JHEP 04 (2008) 088
e-Print:

Citations per year

200720102013201620190246810
Abstract: (arXiv)
We consider a D7-brane probe of AdS5×S5AdS_{5}\times S^5 in the presence of pure gauge BB-field. The dual gauge theory is flavored Yang-Mills theory in external magnetic field. We explore the dependence of the fermionic condensate on the bare quark mass mqm_{q} and study the discrete self-similar behavior of the theory near the origin of the parametric space. We calculate the critical exponents of the bare quark mass and the fermionic condensate. A study of the meson spectrum supports the expectation based on thermodynamic considerations that at zero bare quark mass the stable phase of the theory is a chiral symmetry breaking one. Our study reveals the self-similar structure of the spectrum near the critical phase of the theory, characterized by zero fermionic condensate and we calculate the corresponding critical exponent of the meson spectrum.
  • space-time: anti-de Sitter
  • space: S(5)
  • dimension: 10
  • membrane model: D-brane
  • membrane model: p-brane
  • p-brane: 7
  • magnetic field: external field
  • scaling
  • critical phenomena
  • meson