Normalization Sum Rule and Spontaneous Breaking of U(N) Invariance in Random Matrix Ensembles

Дата и время публикации : 1995-04-12T11:54:03Z

Авторы публикации и институты :
C. M. Canali
V. E. Kravtsov

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 13 pages, REVTEX 3.0, 1 figure not included (postscript file available on request)
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: It is shown that the two-level correlation function $R(s,s’)$ in the invariant random matrix ensembles (RME) with soft confinement exhibits a "ghost peak" at $sapprox -s’$. This lifts the sum rule prohibition for the level number variance to have a Poisson-like term ${rm var}(n)=eta n$ that is typical of RME with broken U(N) symmetry. Thus we conclude that the U(N) invariance is broken spontaneously in the RME with soft confinement, $eta$ playing the role of an order-parameter.

Category: Physics