Integrability of zero-dimensional replica field theories at beta=1

Vidal P, Kanzieper E (2013)
Physical Review E 88(3): 30101.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Vidal, PedroUniBi; Kanzieper, Eugene
Abstract / Bemerkung
Building on insights from the theory of integrable lattices, the integrability is claimed for nonlinear replica sigma models derived in the context of real symmetric random matrices. Specifically, the fermionic and the bosonic replica partition functions are proven to form a single (supersymmetric) Pfaff-KP hierarchy whose replica limit is shown to reproduce the celebrated nonperturbative formula for the density-density eigenvalue correlation function in the infinite-dimensional Gaussian orthogonal ensemble. Implications of the formalism outlined are briefly discussed.
Erscheinungsjahr
2013
Zeitschriftentitel
Physical Review E
Band
88
Ausgabe
3
Art.-Nr.
30101
ISSN
1539-3755
eISSN
1550-2376
Page URI
https://pub.uni-bielefeld.de/record/2635982

Zitieren

Vidal P, Kanzieper E. Integrability of zero-dimensional replica field theories at beta=1. Physical Review E. 2013;88(3): 30101.
Vidal, P., & Kanzieper, E. (2013). Integrability of zero-dimensional replica field theories at beta=1. Physical Review E, 88(3), 30101. doi:10.1103/PhysRevE.88.030101
Vidal, P., and Kanzieper, E. (2013). Integrability of zero-dimensional replica field theories at beta=1. Physical Review E 88:30101.
Vidal, P., & Kanzieper, E., 2013. Integrability of zero-dimensional replica field theories at beta=1. Physical Review E, 88(3): 30101.
P. Vidal and E. Kanzieper, “Integrability of zero-dimensional replica field theories at beta=1”, Physical Review E, vol. 88, 2013, : 30101.
Vidal, P., Kanzieper, E.: Integrability of zero-dimensional replica field theories at beta=1. Physical Review E. 88, : 30101 (2013).
Vidal, Pedro, and Kanzieper, Eugene. “Integrability of zero-dimensional replica field theories at beta=1”. Physical Review E 88.3 (2013): 30101.

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PMID: 24125199
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arXiv: 1304.4068

Inspire: 1228377

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