Year: 2009
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Author: Kanzieper, Eugene
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394640475