Criticality, Scaling and Chiral Symmetry Breaking in External Magnetic Field
arXiv:0706.3811 · doi:10.1088/1126-6708/2008/04/088
Abstract
We consider a D7-brane probe of in the presence of pure gauge -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 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.
arXiv comment29 pages, 9 figures. Accepted in JHEP. Updated to mach the published version. One figure added, some definitions improved
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