Odd-flavored QCD3 and random matrix theory

被引:16
作者
Christiansen, J [1 ]
机构
[1] Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
关键词
QCD in three dimensions; parity; random matrix theory; universality;
D O I
10.1016/S0550-3213(99)00091-7
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider QCD(3) 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 add 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 beta = 2 in the sector of topological charge nu = 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. (C) 1999 Elsevier Science B.V.
引用
收藏
页码:329 / 342
页数:14
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