Normdependent random matrix ensembles in external field and supersymmetry
(2006) In Journal of Physics A: Mathematical and General 39(40). p.1232712342 Abstract
 The class of normdependent random matrix ensembles is studied in the presence of an external field. The probability density of the ensemble depends on the trace of the squared random matrices, but is otherwise arbitrary. An exact mapping to superspace is performed. A transformation formula is derived which gives the probability density in superspace as a single integral over the probability density in ordinary space. This is done for orthogonal, unitary and symplectic symmetries. In the case of unitary symmetry, some explicit results for the correlation functions are derived.
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https://lup.lub.lu.se/record/386671
 author
 Guhr, Thomas ^{LU}
 organization
 publishing date
 2006
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Journal of Physics A: Mathematical and General
 volume
 39
 issue
 40
 pages
 12327  12342
 publisher
 IOP Publishing
 external identifiers

 wos:000241543300006
 scopus:33748961471
 ISSN
 03054470
 DOI
 10.1088/03054470/39/40/003
 language
 English
 LU publication?
 yes
 additional info
 The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
 id
 2ec68661bff64fe9909fc614f4e3e22e (old id 386671)
 date added to LUP
 20160401 15:38:44
 date last changed
 20220128 06:22:03
@article{2ec68661bff64fe9909fc614f4e3e22e, abstract = {{The class of normdependent random matrix ensembles is studied in the presence of an external field. The probability density of the ensemble depends on the trace of the squared random matrices, but is otherwise arbitrary. An exact mapping to superspace is performed. A transformation formula is derived which gives the probability density in superspace as a single integral over the probability density in ordinary space. This is done for orthogonal, unitary and symplectic symmetries. In the case of unitary symmetry, some explicit results for the correlation functions are derived.}}, author = {{Guhr, Thomas}}, issn = {{03054470}}, language = {{eng}}, number = {{40}}, pages = {{1232712342}}, publisher = {{IOP Publishing}}, series = {{Journal of Physics A: Mathematical and General}}, title = {{Normdependent random matrix ensembles in external field and supersymmetry}}, url = {{http://dx.doi.org/10.1088/03054470/39/40/003}}, doi = {{10.1088/03054470/39/40/003}}, volume = {{39}}, year = {{2006}}, }