Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-26
JHEP0804:088,2008
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 9 figures. Accepted in JHEP. Updated to mach the published version. One figure added, some definitions improved
Scientific paper
10.1088/1126-6708/2008/04/088
We consider a D7-brane probe of $AdS_{5}\times S^5$ in the presence of pure gauge $B$-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 $m_{q}$ 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.
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