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SUMMARY:Interpretation of the Altshuler Andreev saddle point - Altland\, A
  (Kln)
DTSTART:20081218T100000Z
DTEND:20081218T110000Z
UID:TALK15733@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In recent years\, progress has been made in understanding the 
 status of random matrix theory in the physics of classically chaotic quant
 um systems by methods of semiclassical analysis. We owe much of this progr
 ess to the linkage between semiclassical expansions in terms of periodic o
 rbits on the one hand\, and field theoretical methods (integration over ce
 rtain sigma model manifolds) on the other hand. I will review this connect
 ion\, special emphasis put on the role of a stationary point in the domain
  of integration\, the Altshuler Andreev saddle point. This point had long 
 been reckognized as instrumetal in understanding the non-perturbative aspe
 cts of spectral statistics (the sine-kernel\, for instance.) The recently 
 constructed semiclassical analogies have offered the possibility to unders
 tand its role in more intuitive terms\, to be discussed in the talk.
LOCATION:Seminar Room 1\, Newton Institute
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