SU(N) instantons and exotic Skyrmions

H. Reinhardt; K. Langfeld

doi:10.1016/0370-2693(93)91377-Y

SU(N) instantons and exotic Skyrmions

H. Reinhardt, K. Langfeld

Universitat Tubingen

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

4 Citations (Scopus)

Abstract

The classical Yang-Mills equations are solved for arbitrary semi-simple gauge groups in the Schwinger-Fock gauge. A new class of SU(N) instantons is presented which are not embeddings of SU(N - 1) instantons but have non-trivial SU(N) color structure and carry winding number n = 1/6 [N(N2 - 1)]. Explicit configurations are given for SU(3) and SU(4) gauge groups. By means of the Atiyah-Manton procedure Skyrmion fields are constructed from the SU(N) instantons. These Skyrmions represent exotic baryon states.

Original language	English
Pages (from-to)	590-595
Number of pages	6
Journal	Physics Letters B
Volume	317
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(93)91377-Y
Publication status	Published - 1993
Externally published	Yes

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title = "SU(N) instantons and exotic Skyrmions",

abstract = "The classical Yang-Mills equations are solved for arbitrary semi-simple gauge groups in the Schwinger-Fock gauge. A new class of SU(N) instantons is presented which are not embeddings of SU(N - 1) instantons but have non-trivial SU(N) color structure and carry winding number n = 1/6 [N(N2 - 1)]. Explicit configurations are given for SU(3) and SU(4) gauge groups. By means of the Atiyah-Manton procedure Skyrmion fields are constructed from the SU(N) instantons. These Skyrmions represent exotic baryon states.",

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doi = "10.1016/0370-2693(93)91377-Y",

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T1 - SU(N) instantons and exotic Skyrmions

AU - Reinhardt, H.

AU - Langfeld, K.

PY - 1993

Y1 - 1993

N2 - The classical Yang-Mills equations are solved for arbitrary semi-simple gauge groups in the Schwinger-Fock gauge. A new class of SU(N) instantons is presented which are not embeddings of SU(N - 1) instantons but have non-trivial SU(N) color structure and carry winding number n = 1/6 [N(N2 - 1)]. Explicit configurations are given for SU(3) and SU(4) gauge groups. By means of the Atiyah-Manton procedure Skyrmion fields are constructed from the SU(N) instantons. These Skyrmions represent exotic baryon states.

AB - The classical Yang-Mills equations are solved for arbitrary semi-simple gauge groups in the Schwinger-Fock gauge. A new class of SU(N) instantons is presented which are not embeddings of SU(N - 1) instantons but have non-trivial SU(N) color structure and carry winding number n = 1/6 [N(N2 - 1)]. Explicit configurations are given for SU(3) and SU(4) gauge groups. By means of the Atiyah-Manton procedure Skyrmion fields are constructed from the SU(N) instantons. These Skyrmions represent exotic baryon states.

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UR - https://go.openathens.net/redirector/westernsydney.edu.au?url=https://doi.org/10.1016/0370-2693(93)91377-Y

U2 - 10.1016/0370-2693(93)91377-Y

DO - 10.1016/0370-2693(93)91377-Y

M3 - Article

SN - 0370-2693

VL - 317

SP - 590

EP - 595

JO - Physics Letters B

JF - Physics Letters B

IS - 4

ER -

SU(N) instantons and exotic Skyrmions

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