Cover Image

Universality and chaos in quantum field theories

We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) gauge theory and in full QCD as well as in quenched U(1) theory on various lattice sizes. As a measure of the fluctuation properties of the eigenvalues, we consider the nearest-neighbor spacing distribution, $P(s)$. We fur...

Full description

Saved in:
Bibliographic Details
Main Authors: Berg, Bernd (Author) , Bittner, Elmar (Author) , Lombardo, Maria Paola (Author) , Markum, Harald (Author) , Pullirsch, Rainer (Author) , Wettig, Tilo (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 7 Jul 2000
In: Arxiv
Year: 2000, Pages: 1-12
Online Access:Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/hep-lat/0007008
Get full text
Author Notes:B.A. Berg, E. Bittner, H. Markum, R. Pullirsch, M.-P. Lombardo, T. Wettig

MARC

LEADER 00000caa a2200000 c 4500
001 1804303208
003 DE-627
005 20221018153527.0
007 cr uuu---uuuuu
008 220524s2000 xx |||||o 00| ||eng c
024 7 |a 10.48550/arXiv.hep-lat/0007008  |2 doi 
035 |a (DE-627)1804303208 
035 |a (DE-599)KXP1804303208 
035 |a (OCoLC)1341460427 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 29  |2 sdnb 
100 1 |a Berg, Bernd  |e VerfasserIn  |0 (DE-588)1022966421  |0 (DE-627)716637189  |0 (DE-576)366228579  |4 aut 
245 1 0 |a Universality and chaos in quantum field theories  |c B.A. Berg, E. Bittner, H. Markum, R. Pullirsch, M.-P. Lombardo, T. Wettig 
264 1 |c 7 Jul 2000 
300 |a 12 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Gesehen am 18.10.2022 
520 |a We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) gauge theory and in full QCD as well as in quenched U(1) theory on various lattice sizes. As a measure of the fluctuation properties of the eigenvalues, we consider the nearest-neighbor spacing distribution, $P(s)$. We further study two-color QCD at nonzero chemical potential, $\mu$, by constructing the spacing distribution of adjacent eigenvalues in the complex plane. We find that in all regions of their phase diagrams, compact lattice gauge theories have bulk spectral correlations given by random matrix theory, which is an indication for quantum chaos. In the confinement phase, the low-lying Dirac spectrum of these quantum field theories is well described by random matrix theory, exhibiting universal behavior. 
650 4 |a High Energy Physics - Lattice 
650 4 |a High Energy Physics - Phenomenology 
650 4 |a High Energy Physics - Theory 
700 1 |a Bittner, Elmar  |d 1973-  |e VerfasserIn  |0 (DE-588)1131823044  |0 (DE-627)886573289  |0 (DE-576)488513057  |4 aut 
700 1 |a Lombardo, Maria Paola  |e VerfasserIn  |0 (DE-588)1133594255  |0 (DE-627)88953800X  |0 (DE-576)405260776  |4 aut 
700 1 |a Markum, Harald  |e VerfasserIn  |0 (DE-588)136248357  |0 (DE-627)694224952  |0 (DE-576)300920067  |4 aut 
700 1 |a Pullirsch, Rainer  |e VerfasserIn  |0 (DE-588)1269968610  |0 (DE-627)1818555026  |4 aut 
700 1 |a Wettig, Tilo  |e VerfasserIn  |4 aut 
773 0 8 |i Enthalten in  |t Arxiv  |d Ithaca, NY : Cornell University, 1991  |g (2000), Artikel-ID 0007008, Seite 1-12  |h Online-Ressource  |w (DE-627)509006531  |w (DE-600)2225896-6  |w (DE-576)28130436X  |7 nnas  |a Universality and chaos in quantum field theories 
773 1 8 |g year:2000  |g elocationid:0007008  |g pages:1-12  |g extent:12  |a Universality and chaos in quantum field theories 
856 4 0 |u http://arxiv.org/abs/hep-lat/0007008  |x Verlag  |z lizenzpflichtig  |3 Volltext 
951 |a AR 
992 |a 20220524 
993 |a Article 
994 |a 2000 
998 |g 1131823044  |a Bittner, Elmar  |m 1131823044:Bittner, Elmar  |p 2 
999 |a KXP-PPN1804303208  |e 4139437049 
BIB |a Y 
JSO |a {"physDesc":[{"extent":"12 S."}],"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"origin":[{"dateIssuedKey":"1991","publisher":"Cornell University ; Arxiv.org","dateIssuedDisp":"1991-","publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]"}],"id":{"eki":["509006531"],"zdb":["2225896-6"]},"pubHistory":["1991 -"],"part":{"text":"(2000), Artikel-ID 0007008, Seite 1-12","extent":"12","year":"2000","pages":"1-12"},"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"disp":"Universality and chaos in quantum field theoriesArxiv","note":["Gesehen am 28.05.2024"],"type":{"media":"Online-Ressource","bibl":"edited-book"},"language":["eng"],"recId":"509006531","title":[{"title":"Arxiv","title_sort":"Arxiv"}]}],"name":{"displayForm":["B.A. Berg, E. Bittner, H. Markum, R. Pullirsch, M.-P. Lombardo, T. Wettig"]},"origin":[{"dateIssuedKey":"2000","dateIssuedDisp":"7 Jul 2000"}],"id":{"doi":["10.48550/arXiv.hep-lat/0007008"],"eki":["1804303208"]},"type":{"media":"Online-Ressource","bibl":"chapter"},"note":["Gesehen am 18.10.2022"],"recId":"1804303208","language":["eng"],"person":[{"given":"Bernd","family":"Berg","role":"aut","roleDisplay":"VerfasserIn","display":"Berg, Bernd"},{"given":"Elmar","family":"Bittner","role":"aut","display":"Bittner, Elmar","roleDisplay":"VerfasserIn"},{"given":"Maria Paola","family":"Lombardo","role":"aut","display":"Lombardo, Maria Paola","roleDisplay":"VerfasserIn"},{"display":"Markum, Harald","roleDisplay":"VerfasserIn","role":"aut","family":"Markum","given":"Harald"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Pullirsch, Rainer","given":"Rainer","family":"Pullirsch"},{"family":"Wettig","given":"Tilo","roleDisplay":"VerfasserIn","display":"Wettig, Tilo","role":"aut"}],"title":[{"title_sort":"Universality and chaos in quantum field theories","title":"Universality and chaos in quantum field theories"}]} 
SRT |a BERGBERNDBUNIVERSALI7200 

Similar Items