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Decomposing the Yang-Mills field

L.D. Faddeev
(
- Steklov Math. Inst., St. Petersburg and
- Helsinki Inst. of Phys.
)
,
Antti J. Niemi
(
- Uppsala U. and
- Mittag-Leffler Inst. and
- Helsinki Inst. of Phys.
)

Jul, 1999

5 pages

Published in:

Phys.Lett.B 464 (1999) 90-93

e-Print:

hep-th/9907180 [hep-th]

DOI:

10.1016/S0370-2693(99)01035-7

View in:

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Abstract:

Recently we have proposed a set of variables for describing the physical parameters of SU(N) Yang--Mills field. Here we propose an off-shell generalization of our Ansatz. For this we envoke the Darboux theorem to decompose arbitrary one-form with respect to some basis of one-forms. After a partial gauge fixing we identify these forms with the preimages of holomorphic and antiholomorphic forms on the coset space

SU(N)/U(1)^{N-1}

, identified as a particular coadjoint orbit. This yields an off-shell gauge fixed decomposition of the Yang-Mills connection that contains our original variables in a natural fashion.

Note:

5 pages, latex, no figures

gauge field theory: SU(N)
differential forms
coset space: SU(N)/U(1)**(N-1)
Darboux theorem

References(11)

Figures(0)

Partially dual variables in SU(2) Yang-Mills theory

L.D. Faddeev
(
- Steklov Math. Inst., St. Petersburg and
- Helsinki Inst. of Phys.
)
,
Antti J. Niemi
(
- Uppsala U. and
- Helsinki Inst. of Phys.
)

- Phys.Rev.Lett. 82 (1999) 1624-1627
•
e-Print:
- hep-th/9807069
•
DOI:
- 10.1103/PhysRevLett.82.1624

Partial duality in SU(N) Yang-Mills theory

L.D. Faddeev
(
- Steklov Math. Inst., St. Petersburg and
- Helsinki Inst. of Phys.
)
,
Antti J. Niemi
(
- Uppsala U. and
- Mittag-Leffler Inst. and
- Helsinki Inst. of Phys.
)

- Phys.Lett.B 449 (1999) 214-218
•
e-Print:
- hep-th/9812090
•
DOI:
- 10.1016/S0370-2693(99)00100-8

Knots and particles

L.D. Faddeev
(
- Steklov Math. Inst., St. Petersburg and
- Helsinki U.
)
,
Antti J. Niemi
(
- Uppsala U. and
- Helsinki U.
)

- Nature 387 (1997) 58
•
e-Print:
- hep-th/9610193
•
DOI:
- 10.1038/387058a0

Solitons, links and knots

Richard A. Battye
(
- Cambridge U., DAMTP
)
,
Paul Sutcliffe
(
- Kent U.
)

- Proc.Roy.Soc.Lond.A 455 (1999) 4305-4331
•
e-Print:
- hep-th/9811077
•
DOI:
- 10.1098/rspa.1999.0502

Faddeev-Hopf knots: Dynamics of linked unknots

Jarmo Hietarinta
(
- Turku U.
)
,
Petri Salo
(
- Helsinki Inst. of Phys.
)

- Phys.Lett.B 451 (1999) 60-67
•
e-Print:
- hep-th/9811053
•
DOI:
- 10.1016/S0370-2693(99)00054-4

Monopole condensates in SU(N) Yang-Mills theory

Vipul Periwal
(
- Princeton U.
)

e-Print:
- hep-th/9808127

An Effective action for monopoles and knot solitons in Yang-Mills theory

Sergei V. Shabanov
(
- Florida U.
)

- Phys.Lett.B 458 (1999) 322-330
•
e-Print:
- hep-th/9903223
•
DOI:
- 10.1016/S0370-2693(99)00612-7

NonAbelian Stokes Theorem and Quark confinement in SU(3) Yang-Mills gauge theory

K.I. Kondo
(
- Chiba U.
)
,
Y. Taira
(
- Chiba U.
)

- Mod.Phys.Lett.A 15 (2000) 367-377
•
e-Print:
- hep-th/9906129
•
DOI:
- 10.1142/S0217732300000359

Magnetic confinement in QCD

Y.M. Cho
(
- APCTP, Seoul and
- Seoul Natl. U. and
- Uzbekistan Natl. U.
)
,
D.G. Pak
(
- APCTP, Seoul and
- Seoul Natl. U. and
- Uzbekistan Natl. U.
)

- J.Korean Phys.Soc. 38 (2001) 151-154
•
e-Print:
- hep-th/9906198

Feynman Diagrams for the Yang-Mills Field

- Phys.Lett.B 25 (1967) 29-30,
- ,
•
DOI:
- 10.1016/0370-2693(67)90067-6

String-Like Topological Excitations of the Electromagnetic Field

F. Gliozzi
(
- Turin U.
)

- Nucl.Phys.B 141 (1978) 379-390
•
DOI:
- 10.1016/0550-3213(78)90033-0