Odd-flavored QCD3 and Random Matrix Theory
نویسنده
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.
منابع مشابه
Finite Volume Gauge Theory Partition Functions in Three Dimensions
We determine the fermion mass dependence of Euclidean finite volume partition functions for three-dimensional QCD in the ǫ-regime directly from the effective field theory of the pseudo-Goldstone modes by using zero-dimensional non-linear σ-models. New results are given for an arbitrary number of flavours in all three cases of complex, pseudo-real and real fermions, extending some previous consi...
متن کاملAPPLICATION OF THE RANDOM MATRIX THEORY ON THE CROSS-CORRELATION OF STOCK PRICES
The analysis of cross-correlations is extensively applied for understanding of interconnections in stock markets. Variety of methods are used in order to search stock cross-correlations including the Random Matrix Theory (RMT), the Principal Component Analysis (PCA) and the Hierachical Structures. In this work, we analyze cross-crrelations between price fluctuations of 20 company stocks...
متن کاملA Block-Wise random sampling approach: Compressed sensing problem
The focus of this paper is to consider the compressed sensing problem. It is stated that the compressed sensing theory, under certain conditions, helps relax the Nyquist sampling theory and takes smaller samples. One of the important tasks in this theory is to carefully design measurement matrix (sampling operator). Most existing methods in the literature attempt to optimize a randomly initiali...
متن کاملar X iv : h ep - t h / 97 03 10 8 v 1 1 4 M ar 1 99 7 ADJOINT QCD 2 IN LARGE N 1 Stephen Pinsky
We consider a dimensional reduction of 3+1 dimensional SU(N) YangMills theory coupled to adjoint fermions to obtain a class of 1 + 1 dimensional gauge theories. We derive the quantized light-cone Hamiltonian in the light-cone gauge A− = 0 and large-N limit, then solve for the masses, wavefunctions and of the color singlet boson and fermion boundstates. We find that the theory has many exact mas...
متن کاملTopology and Confinement In Light-Front QCD
In 1+1 dimensional compact QCD the zero modes of A give the theory a non-trivial topological structure. We examine the effects of these topological structures on the confining infrared structure of the theory. We show that the ground state wavefunction of the topological excitation smears the infrared behavior sufficiently to eliminate confinement for some matter currents. We review the work of...
متن کامل