String-like theory as solution to the sign problem of a finite density gauge theory

Kurt Langfeld

doi:10.22323/1.336.0049

String-like theory as solution to the sign problem of a finite density gauge theory

Kurt Langfeld

University of Liverpool

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

1 Citation (Scopus)

Abstract

Z3 gauge theory with dynamical (bosonic) matter is studied in 4 dimensions with a finite chemical potential. This theory could be viewed as an effective theory describing the centre vortex picture of QCD colour confinement, but it is studied here with local interactions as theory in its own right. It is shown that the sign-problem can be solved by dualisation. The dual theory is derived: the pure gauge sector is a theory of closed membranes with Nambu-Goto action, and matter is described by open branes bounded by closed matter loops. The brane theory is simulated with Monte-Carlo techniques. Some evidence is found that the theory possesses a weakly-renormalisable phase with the scale set by a mass gap. Deconfinement at low temperatures and finite chemical potentials appears as a percolation transition for matter loops.

Original language	English
Title of host publication	Proceedings of Science: 13th Quark Confinement and the Hadron Spectrum
Place of Publication	Italy
Publisher	Sissa Medialab Srl
Number of pages	11
Volume	336
DOIs	https://doi.org/10.22323/1.336.0049
Publication status	Published - 2018
Externally published	Yes
Event	Quark Confinement and the Hadron Spectrum - Maynooth University, Maynooth, Ireland Duration: 31 Jul 2018 → 6 Aug 2018 Conference number: 13th

Publication series

Name	Proceedings of Science
Publisher	Sissa Medialab Srl

Conference

Conference	Quark Confinement and the Hadron Spectrum
Country/Territory	Ireland
City	Maynooth
Period	31/07/18 → 6/08/18

Access to Document

10.22323/1.336.0049Licence: CC BY-NC-ND

full textFinal published version, 971 KBLicence: CC BY-NC-ND

Cite this

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title = "String-like theory as solution to the sign problem of a finite density gauge theory",

abstract = "Z3 gauge theory with dynamical (bosonic) matter is studied in 4 dimensions with a finite chemical potential. This theory could be viewed as an effective theory describing the centre vortex picture of QCD colour confinement, but it is studied here with local interactions as theory in its own right. It is shown that the sign-problem can be solved by dualisation. The dual theory is derived: the pure gauge sector is a theory of closed membranes with Nambu-Goto action, and matter is described by open branes bounded by closed matter loops. The brane theory is simulated with Monte-Carlo techniques. Some evidence is found that the theory possesses a weakly-renormalisable phase with the scale set by a mass gap. Deconfinement at low temperatures and finite chemical potentials appears as a percolation transition for matter loops.",

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year = "2018",

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language = "English",

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address = "Italy",

note = "Quark Confinement and the Hadron Spectrum ; Conference date: 31-07-2018 Through 06-08-2018",

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AB - Z3 gauge theory with dynamical (bosonic) matter is studied in 4 dimensions with a finite chemical potential. This theory could be viewed as an effective theory describing the centre vortex picture of QCD colour confinement, but it is studied here with local interactions as theory in its own right. It is shown that the sign-problem can be solved by dualisation. The dual theory is derived: the pure gauge sector is a theory of closed membranes with Nambu-Goto action, and matter is described by open branes bounded by closed matter loops. The brane theory is simulated with Monte-Carlo techniques. Some evidence is found that the theory possesses a weakly-renormalisable phase with the scale set by a mass gap. Deconfinement at low temperatures and finite chemical potentials appears as a percolation transition for matter loops.

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BT - Proceedings of Science: 13th Quark Confinement and the Hadron Spectrum

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T2 - Quark Confinement and the Hadron Spectrum

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ER -

String-like theory as solution to the sign problem of a finite density gauge theory

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