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Finite action Yang-Mills solutions on the group manifold

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Finite action Yang-Mills solutions on the group manifold. / Dereli, Tekin; Schray, Jörg; Tucker, Robin.
In: Journal of Physics A: Mathematical and General , Vol. 29, No. 16, 1996, p. 5001-5005.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Dereli, T, Schray, J & Tucker, R 1996, 'Finite action Yang-Mills solutions on the group manifold', Journal of Physics A: Mathematical and General , vol. 29, no. 16, pp. 5001-5005. https://doi.org/10.1088/0305-4470/29/16/021

APA

Dereli, T., Schray, J., & Tucker, R. (1996). Finite action Yang-Mills solutions on the group manifold. Journal of Physics A: Mathematical and General , 29(16), 5001-5005. https://doi.org/10.1088/0305-4470/29/16/021

Vancouver

Dereli T, Schray J, Tucker R. Finite action Yang-Mills solutions on the group manifold. Journal of Physics A: Mathematical and General . 1996;29(16):5001-5005. doi: 10.1088/0305-4470/29/16/021

Author

Dereli, Tekin ; Schray, Jörg ; Tucker, Robin. / Finite action Yang-Mills solutions on the group manifold. In: Journal of Physics A: Mathematical and General . 1996 ; Vol. 29, No. 16. pp. 5001-5005.

Bibtex

@article{793e1cb1ee524f17b2befb4bc51e8a17,
title = "Finite action Yang-Mills solutions on the group manifold",
abstract = "We demonstrate that the left (and right) invariant Maurer-Cartan forms for any semi-simple Lie group enable solutions of the Yang-Mills equations to be constructed on the group manifold equipped with the natural Cartan - Killing metric. For the unitary unimodular groups the Yang-Mills action integral is finite for such solutions. This is explicitly exhibited for the case of SU(3). ",
author = "Tekin Dereli and J{\"o}rg Schray and Robin Tucker",
year = "1996",
doi = "10.1088/0305-4470/29/16/021",
language = "English",
volume = "29",
pages = "5001--5005",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "16",

}

RIS

TY - JOUR

T1 - Finite action Yang-Mills solutions on the group manifold

AU - Dereli, Tekin

AU - Schray, Jörg

AU - Tucker, Robin

PY - 1996

Y1 - 1996

N2 - We demonstrate that the left (and right) invariant Maurer-Cartan forms for any semi-simple Lie group enable solutions of the Yang-Mills equations to be constructed on the group manifold equipped with the natural Cartan - Killing metric. For the unitary unimodular groups the Yang-Mills action integral is finite for such solutions. This is explicitly exhibited for the case of SU(3).

AB - We demonstrate that the left (and right) invariant Maurer-Cartan forms for any semi-simple Lie group enable solutions of the Yang-Mills equations to be constructed on the group manifold equipped with the natural Cartan - Killing metric. For the unitary unimodular groups the Yang-Mills action integral is finite for such solutions. This is explicitly exhibited for the case of SU(3).

U2 - 10.1088/0305-4470/29/16/021

DO - 10.1088/0305-4470/29/16/021

M3 - Journal article

VL - 29

SP - 5001

EP - 5005

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 16

ER -