Topological susceptibility for the SU(3) Yang--Mills theory

Luigi Del Debbio; Leonardo Giusti; Claudio Pica

doi:10.1016/j.nuclphysbps.2004.11.321

Topological susceptibility for the SU(3) Yang--Mills theory

Luigi Del Debbio
, Leonardo Giusti
, Claudio Pica

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

We present the results of a computation of the topological susceptibility in the SU(3) Yang--Mills theory performed by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r_0^4 chi = 0.059(3), which corresponds to chi=(191 \pm 5 MeV)^4 if F_K is used to set the scale. Our result supports the Witten--Veneziano explanation for the large mass of the eta'.

Original language	English
Pages (from-to)	603–605
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	140
DOIs	https://doi.org/10.1016/j.nuclphysbps.2004.11.321
Publication status	Published - 16 Sept 2004
Event	LATTICE 2004 — Proceedings of the XXIInd International Symposium on Lattice Field Theory - Batavia, United States Duration: 21 Jun 2004 → …

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hep-lat

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http://www.sciencedirect.com/science/article/pii/S0920563204008369

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title = "Topological susceptibility for the SU(3) Yang--Mills theory",

abstract = "We present the results of a computation of the topological susceptibility in the SU(3) Yang--Mills theory performed by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r\_0\textasciicircum{}4 chi = 0.059(3), which corresponds to chi=(191 \textbackslash{}pm 5 MeV)\textasciicircum{}4 if F\_K is used to set the scale. Our result supports the Witten--Veneziano explanation for the large mass of the eta'.",

keywords = "hep-lat",

author = "\{Del Debbio\}, Luigi and Leonardo Giusti and Claudio Pica",

note = "Talk presented at Lattice2004(topology); 3 pages, 2 figures; LATTICE 2004 — Proceedings of the XXIInd International Symposium on Lattice Field Theory ; Conference date: 21-06-2004",

year = "2004",

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doi = "10.1016/j.nuclphysbps.2004.11.321",

language = "English",

volume = "140",

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journal = "Nuclear Physics B - Proceedings Supplements",

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TY - JOUR

T1 - Topological susceptibility for the SU(3) Yang--Mills theory

AU - Del Debbio, Luigi

AU - Giusti, Leonardo

AU - Pica, Claudio

N1 - Talk presented at Lattice2004(topology); 3 pages, 2 figures

PY - 2004/9/16

Y1 - 2004/9/16

N2 - We present the results of a computation of the topological susceptibility in the SU(3) Yang--Mills theory performed by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r_0^4 chi = 0.059(3), which corresponds to chi=(191 \pm 5 MeV)^4 if F_K is used to set the scale. Our result supports the Witten--Veneziano explanation for the large mass of the eta'.

AB - We present the results of a computation of the topological susceptibility in the SU(3) Yang--Mills theory performed by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r_0^4 chi = 0.059(3), which corresponds to chi=(191 \pm 5 MeV)^4 if F_K is used to set the scale. Our result supports the Witten--Veneziano explanation for the large mass of the eta'.

KW - hep-lat

U2 - 10.1016/j.nuclphysbps.2004.11.321

DO - 10.1016/j.nuclphysbps.2004.11.321

M3 - Article

SN - 0920-5632

VL - 140

SP - 603

EP - 605

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

T2 - LATTICE 2004 — Proceedings of the XXIInd International Symposium on Lattice Field Theory

Y2 - 21 June 2004

ER -

Topological susceptibility for the SU(3) Yang--Mills theory

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