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Step scaling in coordinate space : running of the quark mass

2017
journal article
conference proceedings
10.22323/1.256.0186
Journal
POS Proceedings of Science
Alternative title

Step scaling in X-space : running of the quark mass

Author
Cichy Krzysztof

Jansen Karl

Korcyl Piotr
Volume
256
Title of volume
34th Annual International Symposium on Lattice Field Theory (LATTICE2016)
Article ID
186
eISSN
1824-8039
Language
English
Journal language
English
Abstract in English

We perform a benchmark study of the step scaling procedure for the ratios of renormalization constants extracted from position space correlation functions. We work in the quenched approximation and consider the pseudoscalar, scalar, vector and axial vector bilinears. The pseudoscalar/scalar cases allow us to obtain the non-perturbative running of the quark mass over a wide range of energy scales - from around 17 GeV to below 1.5 GeV - which agrees well with the 4-loop prediction of continuum perturbation theory. We find that step scaling is feasible in X-space and we discuss its advantages and potential problems.

Conference
34th Annual International Symposium on Lattice Field Theory
Conference start date
2016-07-24
End date conference
2016-07-30
Conference city
Southampton
Conference country
Wielka Brytania
Conference type
international
dc.abstract.enWe perform a benchmark study of the step scaling procedure for the ratios of renormalization constants extracted from position space correlation functions. We work in the quenched approximation and consider the pseudoscalar, scalar, vector and axial vector bilinears. The pseudoscalar/scalar cases allow us to obtain the non-perturbative running of the quark mass over a wide range of energy scales - from around 17 GeV to below 1.5 GeV - which agrees well with the 4-loop prediction of continuum perturbation theory. We find that step scaling is feasible in X-space and we discuss its advantages and potential problems.pl
dc.conference34th Annual International Symposium on Lattice Field Theory
dc.conference.citySouthampton
dc.conference.countryWielka Brytania
dc.conference.datefinish2016-07-30
dc.conference.datestart2016-07-24
dc.contributor.authorCichy, Krzysztofpl
dc.contributor.authorJansen, Karlpl
dc.contributor.authorKorcyl, Piotr - 125645 pl
dc.date.accessioned2020-04-29T11:41:56Z
dc.date.available2020-04-29T11:41:56Z
dc.date.issued2017pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.conftypeinternationalpl
dc.description.versionostateczna wersja wydawcy
dc.description.volume256pl
dc.identifier.articleid186pl
dc.identifier.doi10.22323/1.256.0186pl
dc.identifier.eissn1824-8039pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/154901
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa - Użycie niekomercyjne - Bez utworów zależnych 4.0 Międzynarodowa*
dc.rights.licenceCC-BY-NC-ND
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subtypeConferenceProceedingspl
dc.titleStep scaling in coordinate space : running of the quark masspl
dc.title.alternativeStep scaling in X-space : running of the quark masspl
dc.title.journalPOS Proceedings of Sciencepl
dc.title.volume34th Annual International Symposium on Lattice Field Theory (LATTICE2016)pl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We perform a benchmark study of the step scaling procedure for the ratios of renormalization constants extracted from position space correlation functions. We work in the quenched approximation and consider the pseudoscalar, scalar, vector and axial vector bilinears. The pseudoscalar/scalar cases allow us to obtain the non-perturbative running of the quark mass over a wide range of energy scales - from around 17 GeV to below 1.5 GeV - which agrees well with the 4-loop prediction of continuum perturbation theory. We find that step scaling is feasible in X-space and we discuss its advantages and potential problems.
dc.conference
34th Annual International Symposium on Lattice Field Theory
dc.conference.city
Southampton
dc.conference.country
Wielka Brytania
dc.conference.datefinish
2016-07-30
dc.conference.datestart
2016-07-24
dc.contributor.authorpl
Cichy, Krzysztof
dc.contributor.authorpl
Jansen, Karl
dc.contributor.authorpl
Korcyl, Piotr - 125645
dc.date.accessioned
2020-04-29T11:41:56Z
dc.date.available
2020-04-29T11:41:56Z
dc.date.issuedpl
2017
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.conftypepl
international
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
256
dc.identifier.articleidpl
186
dc.identifier.doipl
10.22323/1.256.0186
dc.identifier.eissnpl
1824-8039
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/154901
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa - Użycie niekomercyjne - Bez utworów zależnych 4.0 Międzynarodowa
dc.rights.licence
CC-BY-NC-ND
dc.rights.uri*
http://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subtypepl
ConferenceProceedings
dc.titlepl
Step scaling in coordinate space : running of the quark mass
dc.title.alternativepl
Step scaling in X-space : running of the quark mass
dc.title.journalpl
POS Proceedings of Science
dc.title.volumepl
34th Annual International Symposium on Lattice Field Theory (LATTICE2016)
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
No affiliation
Cichy, Krzysztof
Jansen, Karl
Korcyl, Piotr

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