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:

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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 S2S^{2} into CPN1CP^{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 NN\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