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Arbitrary rotation invariant random matrix ensembles and supersymmetry: orthogonal and unitary-symplectic case

Kieburg, Mario; Grönqvist, Johan LU and Guhr, Thomas LU (2009) In Journal of Physics A: Mathematical and Theoretical2007-01-01+01:00 42(27).
Abstract
Recently, the supersymmetry method was extended from Gaussian ensembles to arbitrary unitarily invariant matrix ensembles by generalizing the Hubbard-Stratonovich transformation. Here, we complete this extension by including arbitrary orthogonally and unitary-symplectically invariant matrix ensembles. The results are equivalent to, but the approach is different from, the superbosonization formula. We express our results in a unifying way. We also give explicit expressions for all one-point functions and discuss features of the higher order correlations.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics A: Mathematical and Theoretical2007-01-01+01:00
volume
42
issue
27
publisher
IOP Publishing
external identifiers
  • wos:000267137300009
  • scopus:70449490048
ISSN
1751-8113
DOI
10.1088/1751-8113/42/27/275205
language
English
LU publication?
yes
id
6dc282fc-1323-4de0-984c-f339e3cdc3d9 (old id 1441671)
date added to LUP
2009-07-27 15:50:11
date last changed
2017-08-13 04:04:00
@article{6dc282fc-1323-4de0-984c-f339e3cdc3d9,
  abstract     = {Recently, the supersymmetry method was extended from Gaussian ensembles to arbitrary unitarily invariant matrix ensembles by generalizing the Hubbard-Stratonovich transformation. Here, we complete this extension by including arbitrary orthogonally and unitary-symplectically invariant matrix ensembles. The results are equivalent to, but the approach is different from, the superbosonization formula. We express our results in a unifying way. We also give explicit expressions for all one-point functions and discuss features of the higher order correlations.},
  articleno    = {275205},
  author       = {Kieburg, Mario and Grönqvist, Johan and Guhr, Thomas},
  issn         = {1751-8113},
  language     = {eng},
  number       = {27},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics A: Mathematical and Theoretical2007-01-01+01:00},
  title        = {Arbitrary rotation invariant random matrix ensembles and supersymmetry: orthogonal and unitary-symplectic case},
  url          = {http://dx.doi.org/10.1088/1751-8113/42/27/275205},
  volume       = {42},
  year         = {2009},
}