Topological susceptibility in the SU(3) gauge theory

Luigi Del Debbio; Leonardo Giusti; Claudio Pica

doi:10.1103/PhysRevLett.94.032003

Topological susceptibility in the SU(3) gauge theory

Luigi Del Debbio, Leonardo Giusti, Claudio Pica

School of Physics and Astronomy

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

Abstract

We compute the topological susceptibility for the SU(3) Yang--Mills theory 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 +/- 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
Number of pages	4
Journal	Physical Review Letters
Volume	94
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.94.032003
Publication status	Published - 7 Jul 2004

Keywords / Materials (for Non-textual outputs)

hep-th
hep-lat

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10.1103/PhysRevLett.94.032003

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http://prl.aps.org/abstract/PRL/v94/i3/e032003

Cite this

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title = "Topological susceptibility in the SU(3) gauge theory",

abstract = "We compute the topological susceptibility for the SU(3) Yang--Mills theory 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 +/- 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'.",

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note = "Final version to appear on Phys. Rev. Lett",

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T1 - Topological susceptibility in the SU(3) gauge theory

AU - Del Debbio, Luigi

AU - Giusti, Leonardo

AU - Pica, Claudio

N1 - Final version to appear on Phys. Rev. Lett

PY - 2004/7/7

Y1 - 2004/7/7

N2 - We compute the topological susceptibility for the SU(3) Yang--Mills theory 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 +/- 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 compute the topological susceptibility for the SU(3) Yang--Mills theory 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 +/- 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'.

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KW - hep-lat

U2 - 10.1103/PhysRevLett.94.032003

DO - 10.1103/PhysRevLett.94.032003

M3 - Article

SN - 0031-9007

VL - 94

JO - Physical Review Letters

JF - Physical Review Letters

IS - 3

ER -

Topological susceptibility in the SU(3) gauge theory

Abstract

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