SU(N) multi-Skyrmions at Finite Volume

Canfora, Fabrizio; Di Mauro, Marco; Kurkov, Maxim A.; Naddeo, Adele

doi:10.1140/epjc/s10052-015-3647-7

SU(N) multi-Skyrmions at Finite Volume

Aug 27, 2015

29 pages

Published in:

Eur.Phys.J.C 75 (2015) 9, 443

Published: Sep 23, 2015

e-Print:

1508.07055 [hep-th]

DOI:

10.1140/epjc/s10052-015-3647-7

View in:

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Abstract: (Springer)

We study multi-soliton solutions of the four-dimensional SU(N) Skyrme model by combining the hedgehog ansatz for SU(N) based on the harmonic maps of

S^{2}

into

CP^{N-1}

and a geometrical trick which allows to analyze explicitly finite-volume effects without breaking the relevant symmetries of the ansatz. The geometric set-up allows to introduce a parameter which is related to the ’t Hooft coupling of a suitable large N limit, in which

N\rightarrow \infty

and the curvature of the background metric approaches zero, in such a way that their product is constant. The relevance of such a parameter to the physics of the system is pointed out. In particular, we discuss how the discrete symmetries of the configurations depend on it.

Note:

29 pages, 7 figures, minor changes, matches published version

background: curvature
finite size: effect
symmetry: discrete
SU(N)
Skyrme model

References(49)

Figures(20)

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