Daniel Waltner et al 2009 J. Phys. A: Math. Theor. 42 292001 doi:10.1088/1751-8113/42/29/292001
Daniel Waltner1, Stefan Heusler2, Juan Diego Urbina1 and Klaus Richter1
Show affiliationsWe 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 Heusler et al (2007 Phys. Rev. Lett. 98 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 canceled 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.
03.65.Sq Semiclassical theories and applications
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
02.50.-r Probability theory, stochastic processes, and statistics
81Q20 Semiclassical techniques including WKB and Maslov methods
Issue 29 (24 July 2009)
Received 25 March 2009, in final form 12 May 2009
Published 6 July 2009
Daniel Waltner et al 2009 J. Phys. A: Math. Theor. 42 292001
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