Are Bosonic Replicas Faulty?

Vladimir Al. Osipov and Eugene Kanzieper
Phys. Rev. Lett. 99, 050602 – Published 31 July 2007

Abstract

Motivated by the ongoing discussion about a seeming asymmetry in the performance of fermionic and bosonic replicas, we present an exact, nonperturbative approach to both fermionic and bosonic zero-dimensional replica field theories belonging to the broadly interpreted β=2 Dyson symmetry class. We then utilize the formalism developed to demonstrate that the bosonic replicas do correctly reproduce the microscopic spectral density in the QCD-inspired chiral Gaussian unitary ensemble. This disproves the myth that the bosonic replica field theories are intrinsically faulty.

  • Received 23 April 2007

DOI:https://doi.org/10.1103/PhysRevLett.99.050602

©2007 American Physical Society

Authors & Affiliations

Vladimir Al. Osipov* and Eugene Kanzieper

  • Department of Applied Mathematics, H.I.T.—Holon Institute of Technology, Holon 58102, Israel

  • *vosipov@hit.ac.il
  • eugene.kanzieper@weizmann.ac.il

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Issue

Vol. 99, Iss. 5 — 3 August 2007

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