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Deconstructing finite temperature pure gauge theory
Herbert Neuberger
A deconstructed finite temperature gauge theory has the Euclidean time direction kept discrete and finite. The ultraviolet behavior is that of one dimension less than at zero tempe…
Eigenvalue density of Wilson loops in 2D SU(N) YM at large N
Robert Lohmayer
The eigenvalue density of a Wilson loop matrix W associated with a simple loop in two-dimensional Euclidean SU(N) Yang-Mills theory undergoes a phase transition at a critical size…
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…
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…
A large N phase transition in the continuum two dimensional SU(N) X SU(N) principal chiral model
R. Narayanan, H. Neuberger, E. Vicari
It is established by numerical means that the continuum large N principal chiral model in two dimensions has a phase transition in a smoothed two point function at a critical dista…