Computing the Adler function from the vacuum polarization function

Hanno Horch*, Michele Della Morte, Gregorio Herdoíza, Benjamin Jäger, Andreas Jüttner, Hartmut Wittig

*Corresponding author for this work

Research output: Contribution to journalConference articleResearchpeer-review

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Abstract

We use a lattice determination of the hadronic vacuum polarization tensor to study the associated Ward identities and compute the Adler function. The vacuum polarization tensor is computed from a combination of point-split and local vector currents, using two flavours of O($a$)-improved Wilson fermions. Partially twisted boundary conditions are employed to obtain a fine momentum resolution. The modifications of the Ward identities by lattice artifacts and by the use of twisted boundary conditions are monitored. We determine the Adler function from the derivative of the vacuum polarization function over a large region of momentum transfer $q^2$. As a first account of systematic effects, a continuum limit scaling analysis is performed in the large $q^2$ regime.
Original languageEnglish
JournalP o S - Proceedings of Science
Number of pages7
ISSN1824-8039
Publication statusPublished - 27. Nov 2013
Event31st International Symposium on Lattice Field Theory LATTICE 2013: LATTICE 2013 - Mainz, Germany
Duration: 29. Jul 20133. Aug 2013

Conference

Conference31st International Symposium on Lattice Field Theory LATTICE 2013
CountryGermany
CityMainz
Period29/07/201303/08/2013

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vacuum
polarization
tensors
boundary conditions
vector currents
momentum transfer
artifacts
fermions
continuums
momentum
scaling

Cite this

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title = "Computing the Adler function from the vacuum polarization function",
abstract = "We use a lattice determination of the hadronic vacuum polarization tensor to study the associated Ward identities and compute the Adler function. The vacuum polarization tensor is computed from a combination of point-split and local vector currents, using two flavours of O($a$)-improved Wilson fermions. Partially twisted boundary conditions are employed to obtain a fine momentum resolution. The modifications of the Ward identities by lattice artifacts and by the use of twisted boundary conditions are monitored. We determine the Adler function from the derivative of the vacuum polarization function over a large region of momentum transfer $q^2$. As a first account of systematic effects, a continuum limit scaling analysis is performed in the large $q^2$ regime.",
keywords = "hep-lat, hep-ph",
author = "Hanno Horch and Morte, {Michele Della} and Gregorio Herdo{\'i}za and Benjamin J{\"a}ger and Andreas J{\"u}ttner and Hartmut Wittig",
note = "7 pages, 4 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany",
year = "2013",
month = "11",
day = "27",
language = "English",
journal = "P o S - Proceedings of Science",
issn = "1824-8039",
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Computing the Adler function from the vacuum polarization function. / Horch, Hanno; Morte, Michele Della; Herdoíza, Gregorio; Jäger, Benjamin; Jüttner, Andreas; Wittig, Hartmut.

In: P o S - Proceedings of Science, 27.11.2013.

Research output: Contribution to journalConference articleResearchpeer-review

TY - GEN

T1 - Computing the Adler function from the vacuum polarization function

AU - Horch, Hanno

AU - Morte, Michele Della

AU - Herdoíza, Gregorio

AU - Jäger, Benjamin

AU - Jüttner, Andreas

AU - Wittig, Hartmut

N1 - 7 pages, 4 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany

PY - 2013/11/27

Y1 - 2013/11/27

N2 - We use a lattice determination of the hadronic vacuum polarization tensor to study the associated Ward identities and compute the Adler function. The vacuum polarization tensor is computed from a combination of point-split and local vector currents, using two flavours of O($a$)-improved Wilson fermions. Partially twisted boundary conditions are employed to obtain a fine momentum resolution. The modifications of the Ward identities by lattice artifacts and by the use of twisted boundary conditions are monitored. We determine the Adler function from the derivative of the vacuum polarization function over a large region of momentum transfer $q^2$. As a first account of systematic effects, a continuum limit scaling analysis is performed in the large $q^2$ regime.

AB - We use a lattice determination of the hadronic vacuum polarization tensor to study the associated Ward identities and compute the Adler function. The vacuum polarization tensor is computed from a combination of point-split and local vector currents, using two flavours of O($a$)-improved Wilson fermions. Partially twisted boundary conditions are employed to obtain a fine momentum resolution. The modifications of the Ward identities by lattice artifacts and by the use of twisted boundary conditions are monitored. We determine the Adler function from the derivative of the vacuum polarization function over a large region of momentum transfer $q^2$. As a first account of systematic effects, a continuum limit scaling analysis is performed in the large $q^2$ regime.

KW - hep-lat

KW - hep-ph

M3 - Conference article

JO - P o S - Proceedings of Science

JF - P o S - Proceedings of Science

SN - 1824-8039

ER -