Worldline approach to chiral fermions

Kurt Langfeld; Gerald Dunne; Holger Gies; Klaus Klingmüller

Worldline approach to chiral fermions

Kurt Langfeld, Gerald Dunne, Holger Gies, Klaus Klingmüller

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

Abstract

We propose to apply “worldline numerics” to a numerical calculation of quark determinants. The Gross-Neveu model with a U(1) chiral symmetry is considered as a first test. The worldline approach allows for an analytic renormalisation, and only finite parts of the determinant require a numerical calculation. It is shown that the discretisation of the worldlines, which is central to the numerical treatment, preserves chiral symmetry exactly. Numerical results for a kink configuration as a scalar background field are shown and compared with analytical results. The case of finite fermion chemical potential is also briefly discussed.

Original language	English
Article number	202
Journal	Proceedings of Science
Volume	42
Publication status	Published - 2007
Externally published	Yes
Event	25th International Symposium on Lattice Field Theory, LATTICE 2007 - Regensburg, Germany Duration: 30 Jul 2007 → 4 Aug 2007

Bibliographical note

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© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

Cite this

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title = "Worldline approach to chiral fermions",

abstract = "We propose to apply “worldline numerics” to a numerical calculation of quark determinants. The Gross-Neveu model with a U(1) chiral symmetry is considered as a first test. The worldline approach allows for an analytic renormalisation, and only finite parts of the determinant require a numerical calculation. It is shown that the discretisation of the worldlines, which is central to the numerical treatment, preserves chiral symmetry exactly. Numerical results for a kink configuration as a scalar background field are shown and compared with analytical results. The case of finite fermion chemical potential is also briefly discussed.",

author = "Kurt Langfeld and Gerald Dunne and Holger Gies and Klaus Klingm{\"u}ller",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.; 25th International Symposium on Lattice Field Theory, LATTICE 2007 ; Conference date: 30-07-2007 Through 04-08-2007",

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T1 - Worldline approach to chiral fermions

AU - Langfeld, Kurt

AU - Dunne, Gerald

AU - Gies, Holger

AU - Klingmüller, Klaus

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2007

Y1 - 2007

N2 - We propose to apply “worldline numerics” to a numerical calculation of quark determinants. The Gross-Neveu model with a U(1) chiral symmetry is considered as a first test. The worldline approach allows for an analytic renormalisation, and only finite parts of the determinant require a numerical calculation. It is shown that the discretisation of the worldlines, which is central to the numerical treatment, preserves chiral symmetry exactly. Numerical results for a kink configuration as a scalar background field are shown and compared with analytical results. The case of finite fermion chemical potential is also briefly discussed.

AB - We propose to apply “worldline numerics” to a numerical calculation of quark determinants. The Gross-Neveu model with a U(1) chiral symmetry is considered as a first test. The worldline approach allows for an analytic renormalisation, and only finite parts of the determinant require a numerical calculation. It is shown that the discretisation of the worldlines, which is central to the numerical treatment, preserves chiral symmetry exactly. Numerical results for a kink configuration as a scalar background field are shown and compared with analytical results. The case of finite fermion chemical potential is also briefly discussed.

UR - http://www.scopus.com/inward/record.url?scp=51849115486&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:51849115486

SN - 1824-8039

VL - 42

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 202

T2 - 25th International Symposium on Lattice Field Theory, LATTICE 2007

Y2 - 30 July 2007 through 4 August 2007

ER -

Worldline approach to chiral fermions

Abstract

Bibliographical note

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