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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 Theoretical 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
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics A: Mathematical and Theoretical
volume
42
issue
27
article number
275205
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
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
6dc282fc-1323-4de0-984c-f339e3cdc3d9 (old id 1441671)
date added to LUP
2016-04-01 14:17:58
date last changed
2025-04-04 14:13:48
@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.}},
  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 Theoretical}},
  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}},
  doi          = {{10.1088/1751-8113/42/27/275205}},
  volume       = {{42}},
  year         = {{2009}},
}