Odd-flavored QCD3 and Random Matrix Theory

نویسنده

  • Jesper Christiansen
چکیده

We consider QCD3 with an odd number of flavors in the mesoscopic scaling region where the field theory finite-volume partition function is equivalent to a random matrix theory partition function. We argue that the theory is parity invariant at the classical level if an odd number of masses are zero. By introducing so-called pseudo-orthogonal polynomials we are able to relate the kernel to the kernel of the chiral unitary ensemble with β = 2 in the sector of topological charge ν = 1 2 . We prove universality and are able to write the kernel in the microscopic limit in terms of field theory finite-volume partition functions.

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تاریخ انتشار 2008