Waltner, Daniel and Heusler, S and Urbina, Juan Diego and Richter, Klaus (2009) The semiclassical origin of curvature effects in universal spectral statistics. Journal of Physics A, fast track communication 42, p. 292001.
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We consider the energy averaged two-point correlator of spectral determinants and calculate contributions beyond the diagonal approximation using semiclassical methods. Evaluating the contributions originating from pseudo-orbit correlations in the same way as in [S. Heusler et al. 2007 Phys. Rev. Lett. , 044103] we find a discrepancy between the semiclassical and the random matrix theory result. A complementary analysis based on a field-theoretical approach shows that the additional terms occurring in semiclassics are cancelled in field theory by so-called curvature effects. We give the semiclassical interpretation of the curvature effects in terms of contributions from multiple traversals of periodic orbits around shorter periodic orbits and discuss the consistency of our results with previous approaches.
|Institutions:||Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter|
|Projects:||Graduiertenkolleg Nichtlinearität und Nichtgleichgewicht|
|Subjects:||500 Science > 530 Physics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Yes|
|Deposited On:||25 May 2009 15:22|
|Last Modified:||05 Aug 2009 15:58|
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