The gluon propagator in lattice Landau gauge with twisted boundary conditions

Torsten Tok; Kurt Langfeld; Hugo Reinhardt; Lorenz Von Smekal

doi:10.22323/1.020.0334

The gluon propagator in lattice Landau gauge with twisted boundary conditions

Torsten Tok, Kurt Langfeld, Hugo Reinhardt, Lorenz Von Smekal

Research output: Chapter in Book / Conference Paper › Conference Paper

1 Citation (Scopus)

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Abstract

We investigate the infrared behaviour of the gluon propagator in Lan-dau gauge on a lattice with twisted boundary conditions. Analytic calculationsusing Dyson-Schwinger equations, exact renormalization group and stochasticquantization show that the Landau gauge gluon propagator approaches zerofor small momentum. On the other hand lattice calculations seem to indicatea non-zero infrared limit. One possible explanation for this difference is theexistence of zero-momentum fluctuation modes which potentially give rise to amassive contribution to the gluon propagator. Our simulations show that withtwisted boundary conditions these zero-momentum modes are suppressed andthe gluon propagator is reduced in the infrared compared to a periodic latticeensemble.

Original language	English
Title of host publication	Proceedings of Science: 23rd International Symposium on Lattice Field Theory
Editors	Alan Irving, Craig McNeile, Chris Michael
Place of Publication	Italy
Publisher	Sissa Medialab Srl
Number of pages	5
DOIs	https://doi.org/10.22323/1.020.0334
Publication status	Published - 2005
Externally published	Yes
Event	International Symposium on Lattice Field Theory - Trinity College, Dublin, Ireland Duration: 25 Jul 2005 → 30 Jul 2005 Conference number: 23rd

Publication series

Name	Proceedings of Science
Publisher	Sissa Medialab srl
Volume	20

Conference

Conference	International Symposium on Lattice Field Theory
Country/Territory	Ireland
City	Dublin
Period	25/07/05 → 30/07/05

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10.22323/1.020.0334Licence: CC BY-NC-SA

Full textFinal published version, 1.23 MBLicence: CC BY-NC-SA

Cite this

@inproceedings{6c80a030e2f44f949616d95a544af68f,

title = "The gluon propagator in lattice Landau gauge with twisted boundary conditions",

abstract = "We investigate the infrared behaviour of the gluon propagator in Lan-dau gauge on a lattice with twisted boundary conditions. Analytic calculationsusing Dyson-Schwinger equations, exact renormalization group and stochasticquantization show that the Landau gauge gluon propagator approaches zerofor small momentum. On the other hand lattice calculations seem to indicatea non-zero infrared limit. One possible explanation for this difference is theexistence of zero-momentum fluctuation modes which potentially give rise to amassive contribution to the gluon propagator. Our simulations show that withtwisted boundary conditions these zero-momentum modes are suppressed andthe gluon propagator is reduced in the infrared compared to a periodic latticeensemble.",

author = "Torsten Tok and Kurt Langfeld and Hugo Reinhardt and {Von Smekal}, Lorenz",

year = "2005",

doi = "10.22323/1.020.0334",

language = "English",

series = "Proceedings of Science",

publisher = "Sissa Medialab Srl",

editor = "Alan Irving and Craig McNeile and Chris Michael",

booktitle = "Proceedings of Science: 23rd International Symposium on Lattice Field Theory",

address = "Italy",

note = "International Symposium on Lattice Field Theory ; Conference date: 25-07-2005 Through 30-07-2005",

}

Tok, T, Langfeld, K, Reinhardt, H & Von Smekal, L 2005, The gluon propagator in lattice Landau gauge with twisted boundary conditions. in A Irving, C McNeile & C Michael (eds), Proceedings of Science: 23rd International Symposium on Lattice Field Theory. Proceedings of Science, vol. 20, Sissa Medialab Srl, Italy, International Symposium on Lattice Field Theory, Dublin, Ireland, 25/07/05. https://doi.org/10.22323/1.020.0334

The gluon propagator in lattice Landau gauge with twisted boundary conditions. / Tok, Torsten; Langfeld, Kurt; Reinhardt, Hugo et al.
Proceedings of Science: 23rd International Symposium on Lattice Field Theory. ed. / Alan Irving; Craig McNeile; Chris Michael. Italy: Sissa Medialab Srl, 2005. (Proceedings of Science; Vol. 20).

Research output: Chapter in Book / Conference Paper › Conference Paper

TY - GEN

T1 - The gluon propagator in lattice Landau gauge with twisted boundary conditions

AU - Tok, Torsten

AU - Langfeld, Kurt

AU - Reinhardt, Hugo

AU - Von Smekal, Lorenz

N1 - Conference code: 23rd

PY - 2005

Y1 - 2005

N2 - We investigate the infrared behaviour of the gluon propagator in Lan-dau gauge on a lattice with twisted boundary conditions. Analytic calculationsusing Dyson-Schwinger equations, exact renormalization group and stochasticquantization show that the Landau gauge gluon propagator approaches zerofor small momentum. On the other hand lattice calculations seem to indicatea non-zero infrared limit. One possible explanation for this difference is theexistence of zero-momentum fluctuation modes which potentially give rise to amassive contribution to the gluon propagator. Our simulations show that withtwisted boundary conditions these zero-momentum modes are suppressed andthe gluon propagator is reduced in the infrared compared to a periodic latticeensemble.

AB - We investigate the infrared behaviour of the gluon propagator in Lan-dau gauge on a lattice with twisted boundary conditions. Analytic calculationsusing Dyson-Schwinger equations, exact renormalization group and stochasticquantization show that the Landau gauge gluon propagator approaches zerofor small momentum. On the other hand lattice calculations seem to indicatea non-zero infrared limit. One possible explanation for this difference is theexistence of zero-momentum fluctuation modes which potentially give rise to amassive contribution to the gluon propagator. Our simulations show that withtwisted boundary conditions these zero-momentum modes are suppressed andthe gluon propagator is reduced in the infrared compared to a periodic latticeensemble.

U2 - 10.22323/1.020.0334

DO - 10.22323/1.020.0334

M3 - Conference Paper

T3 - Proceedings of Science

BT - Proceedings of Science: 23rd International Symposium on Lattice Field Theory

A2 - Irving, Alan

A2 - McNeile, Craig

A2 - Michael, Chris

PB - Sissa Medialab Srl

CY - Italy

T2 - International Symposium on Lattice Field Theory

Y2 - 25 July 2005 through 30 July 2005

ER -

The gluon propagator in lattice Landau gauge with twisted boundary conditions

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