ar X iv : 0 90 9 . 31 98 v 1 [ co nd - m at . d is - n n ] 1 7 Se p 20 09 Replica Approach in Random Matrix Theory ♯
نویسنده
چکیده
This Chapter outlines the replica approach in Random Matrix Theory. Both fermionic and bosonic versions of the replica limit are introduced and its trickery is discussed. A brief overview of early heuristic treatments of zero-dimensional replica field theories is given to advocate an exact approach to replicas. The latter is presented in two elaborations: by viewing the β = 2 replica partition function as the Toda Lattice and by embedding the replica partition function into a more general theory of τ functions. ♯ Chapter for The Oxford Handbook of Random Matrix Theory, edited by G. Akemann, J. Baik, and P. Di Francesco, to be published by Oxford University Press.
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