Are Bosonic Replicas Faulty?

• Main Authors: Osipov, Vladimir Al, Kanzieper, Eugene
• Format: Journal Article
• Language: English
• Published: 24-07-2007
• Subjects: Mathematics - Mathematical Physics; Physics - Disordered Systems and Neural Networks; Physics - Exactly Solvable and Integrable Systems; Physics - High Energy Physics - Theory; Physics - Mathematical Physics
• DOI: 10.48550/arxiv.0704.2968

Phys. Rev. Lett. 99 (2007) 050602 Motivated by the ongoing discussion about a seeming asymmetry in the
performance of fermionic and bosonic replicas, we present an exact,
nonperturbative approach to zero-dimensional replica field theories belonging
to the broadly interpreted "beta=2" Dyson symmetry class. We then utilise 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.