Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-03
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 33 pages
Scientific paper
Using Random Matrix Theory we set out to compute the microscopic correlators of the Euclidean Dirac operator in four dimensions. In particular we consider: the chiral Orthogonal Ensemble (chOE), corresponding to a Yang-Mills theory with two colors and fermions in the fundamental representation, and the chiral Symplectic Ensemble (chSE), corresponding to any number of colors and fermions in the adjoint representation. In both cases we deal with an arbitrary number of massive fermions. We use a recent method proposed by H. Widom for deriving closed formulas for the scalar kernels from which all spectral correlation functions of the chGOE and chGSE can be determined. Moreover, we obtain complete analytic expressions of such correlators in the double microscopic limit, extending previously known results of four-dimensional QCD at beta=1 and beta=4 to the general case with N_f flavors, with arbitrary quark masses and arbitrary topological charge.
Abild-Pedersen F.
Vernizzi Graziano
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