Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential

Basile F, Akemann G (2007)
JHEP 2007(12): 043.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Basile, Francesco; Akemann, GernotUniBi
Abstract / Bemerkung
We prove that QCD in the epsilon-regime of chiral Perturbation Theory isequivalent to chiral Random Matrix Theory for zero and both non-zero real andimaginary chemical potential mu. To this aim we prove a theorem that relatesintegrals over fermionic and bosonic variables to super-Hermitian orsuper-Unitary groups also called superbosonization. Our findings extendprevious results for the equivalence of the partition functions, spectraldensities and the quenched two-point densities. We can show that all k-pointdensity correlation functions agree in both theories for an arbitrary number ofquark flavors, for either mu=0 or mu=/=0 taking real or imaginary values. Thisimplies the equivalence for all individual k-th eigenvalue distributions whichare particularly useful to determine low energy constants from Lattice QCD withchiral fermions.
Erscheinungsjahr
2007
Zeitschriftentitel
JHEP
Band
2007
Ausgabe
12
Seite(n)
043
ISSN
1029-8479
Page URI
https://pub.uni-bielefeld.de/record/1978340

Zitieren

Basile F, Akemann G. Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP. 2007;2007(12):043.
Basile, F., & Akemann, G. (2007). Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP, 2007(12), 043. https://doi.org/10.1088/1126-6708/2007/12/043
Basile, F., and Akemann, G. (2007). Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP 2007, 043.
Basile, F., & Akemann, G., 2007. Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP, 2007(12), p 043.
F. Basile and G. Akemann, “Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential”, JHEP, vol. 2007, 2007, pp. 043.
Basile, F., Akemann, G.: Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential. JHEP. 2007, 043 (2007).
Basile, Francesco, and Akemann, Gernot. “Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential”. JHEP 2007.12 (2007): 043.

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®

Quellen

arXiv: 0710.0376

Suchen in

Google Scholar