Zero density heavy quark SU(2) gauge theory and the Stefan-Boltzmann limit

Kurt Langfeld; Norbert Lages; Hugo Reinhardt

doi:10.22323/1.020.0201

Zero density heavy quark SU(2) gauge theory and the Stefan-Boltzmann limit

Kurt Langfeld
, Norbert Lages
, Hugo Reinhardt

University of Tuebingen

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

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Abstract

SU(2) lattice gauge theory is investigated where the traces of the Wilson lines at any lattice point and along each direction is constrained to zero. Hence, each of the lattice configurations possesses a vanishing density of heavy (anti-) quarks. The results are compared with those of pure SU(2) gauge theory which can be interpreted as the grand canonical realization of the heavy quark theory where only the ensemble average of the heavy quark density vanishes. The static quark anti-quark potential of the constrained theory is obtained from (spatially smeared) Wilson loops at zero temperature. We find that the potential coincides with that of pure SU(2) gauge theory (without constraints). Hence, the familiar "running" of the lattice spacing with Î² is recovered.

Original language	English
Title of host publication	Proceedings of Science: 23rd International Symposium on Lattice Field Theory
Place of Publication	Italy
Publisher	Sissa Medialab Srl
Number of pages	6
DOIs	https://doi.org/10.22323/1.020.0201
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
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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10.22323/1.020.0201Licence: CC BY-NC-SA

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Cite this

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title = "Zero density heavy quark SU(2) gauge theory and the Stefan-Boltzmann limit",

abstract = "SU(2) lattice gauge theory is investigated where the traces of the Wilson lines at any lattice point and along each direction is constrained to zero. Hence, each of the lattice configurations possesses a vanishing density of heavy (anti-) quarks. The results are compared with those of pure SU(2) gauge theory which can be interpreted as the grand canonical realization of the heavy quark theory where only the ensemble average of the heavy quark density vanishes. The static quark anti-quark potential of the constrained theory is obtained from (spatially smeared) Wilson loops at zero temperature. We find that the potential coincides with that of pure SU(2) gauge theory (without constraints). Hence, the familiar {"}running{"} of the lattice spacing with {\^I}² is recovered.",

author = "Kurt Langfeld and Norbert Lages and Hugo Reinhardt",

year = "2005",

doi = "10.22323/1.020.0201",

language = "English",

series = "Proceedings of Science",

publisher = "Sissa Medialab Srl",

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",

}

Langfeld, K, Lages, N & Reinhardt, H 2005, Zero density heavy quark SU(2) gauge theory and the Stefan-Boltzmann limit. in 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/10.22323/1.020.0201

TY - GEN

T1 - Zero density heavy quark SU(2) gauge theory and the Stefan-Boltzmann limit

AU - Langfeld, Kurt

AU - Lages, Norbert

AU - Reinhardt, Hugo

N1 - Conference code: 23rd

PY - 2005

Y1 - 2005

N2 - SU(2) lattice gauge theory is investigated where the traces of the Wilson lines at any lattice point and along each direction is constrained to zero. Hence, each of the lattice configurations possesses a vanishing density of heavy (anti-) quarks. The results are compared with those of pure SU(2) gauge theory which can be interpreted as the grand canonical realization of the heavy quark theory where only the ensemble average of the heavy quark density vanishes. The static quark anti-quark potential of the constrained theory is obtained from (spatially smeared) Wilson loops at zero temperature. We find that the potential coincides with that of pure SU(2) gauge theory (without constraints). Hence, the familiar "running" of the lattice spacing with Î² is recovered.

AB - SU(2) lattice gauge theory is investigated where the traces of the Wilson lines at any lattice point and along each direction is constrained to zero. Hence, each of the lattice configurations possesses a vanishing density of heavy (anti-) quarks. The results are compared with those of pure SU(2) gauge theory which can be interpreted as the grand canonical realization of the heavy quark theory where only the ensemble average of the heavy quark density vanishes. The static quark anti-quark potential of the constrained theory is obtained from (spatially smeared) Wilson loops at zero temperature. We find that the potential coincides with that of pure SU(2) gauge theory (without constraints). Hence, the familiar "running" of the lattice spacing with Î² is recovered.

UR - https://www.scopus.com/pages/publications/85056837594

U2 - 10.22323/1.020.0201

DO - 10.22323/1.020.0201

M3 - Conference Paper

T3 - Proceedings of Science

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

PB - Sissa Medialab Srl

CY - Italy

T2 - International Symposium on Lattice Field Theory

Y2 - 25 July 2005 through 30 July 2005

ER -

Zero density heavy quark SU(2) gauge theory and the Stefan-Boltzmann limit

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