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Complex Burgers' equation in 2D SU(N) YM
H. Neuberger
An integro-differential equation satisfied by an eigenvalue density defined as the logarithmic derivative of the average inverse characteristic polynomial of a Wilson loop in two d…
Possible large-N transitions for complex Wilson loop matrices
Robert Lohmayer, Herbert Neuberger, Tilo Wettig
It is shown that a very simple multiplicative random complex matrix model generalizes the large-N phase structure found in the unitary case: A perturbative regime is joined to a no…
Large-N phase transitions in the spectrum of products of complex matrices
Robert Lohmayer, Herbert Neuberger, Tilo Wettig
It is shown that the simplest multiplicative random complex matrix model generalizes the large-N phase structure found in the unitary case: A perturbative regime is joined to a non…
Large N transition in the 2D SU(N)xSU(N) nonlinear sigma model
Rajamani Narayanan, Herbert Neuberger, Ettore Vicari
We consider the characteristic polynomial associated with the smoothed two point function in two dimensional large N principal chiral model. We numerically show that it undergoes a…
Universal properties of Wilson loop operators in large N QCD
Rajamani Narayanan, Herbert Neuberger
Eigenvalues of a Wilson loop operator are gauge invariant and their distribution undergoes a transition at infinite N as the size of the loop is changed. We study this transition u…
Burgers' equation in 2D SU(N) YM
H. Neuberger
It is shown that the logarithmic derivative of the characteristic polynomial of a Wilson loop in two dimensional pure Yang Mills theory with gauge group SU(N) exactly satisfies Bur…