کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1857551 | 1529910 | 2010 | 56 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Correlations of RMT characteristic polynomials and integrability: Hermitean matrices
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
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چکیده انگلیسی
Integrable theory is formulated for correlation functions of characteristic polynomials associated with invariant non-Gaussian ensembles of Hermitean random matrices. By embedding the correlation functions of interest into a more general theory of Ï functions, we (i) identify a zoo of hierarchical relations satisfied by Ï functions in an abstract infinite-dimensional space and (ii) present a technology to translate these relations into hierarchically structured nonlinear differential equations describing the correlation functions of characteristic polynomials in the physical, spectral space. Implications of this formalism for fermionic, bosonic, and supersymmetric variations of zero-dimensional replica field theories are discussed at length. A particular emphasis is placed on the phenomenon of fermionic-bosonic factorisation of random-matrix-theory correlation functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 325, Issue 10, October 2010, Pages 2251-2306
Journal: Annals of Physics - Volume 325, Issue 10, October 2010, Pages 2251-2306
نویسندگان
Vladimir Al. Osipov, Eugene Kanzieper,