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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Interpretation of the Altshuler Andreev saddle poi
nt - Altland\, A (Kln)
DTSTART;TZID=Europe/London:20081218T100000
DTEND;TZID=Europe/London:20081218T110000
UID:TALK15733AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/15733
DESCRIPTION:In recent years\, progress has been made in unders
tanding the status of random matrix theory in the
physics of classically chaotic quantum systems by
methods of semiclassical analysis. We owe much of
this progress to the linkage between semiclassical
expansions in terms of periodic orbits on the one
hand\, and field theoretical methods (integration
over certain sigma model manifolds) on the other
hand. I will review this connection\, special emph
asis put on the role of a stationary point in the
domain of integration\, the Altshuler Andreev sadd
le point. This point had long been reckognized as
instrumetal in understanding the non-perturbative
aspects of spectral statistics (the sine-kernel\,
for instance.) The recently constructed semiclassi
cal analogies have offered the possibility to unde
rstand its role in more intuitive terms\, to be di
scussed in the talk.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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