Fetching the paper…

Reading the bibliography…

Exact multi-soliton solutions in the four dimensional Skyrme model · Around

2014

Exact multi-soliton solutions in the four dimensional Skyrme model

Canfora, Fabrizio, Correa, Francisco, Zanelli, Jorge

Original
PDF
Post on X

Understand

Exact analytic solutions of the Skyrme model defined on a spherically symmetric $R^{(1,1)} \times S^2$ geometry, chosen to mimic finite volume effects, are presented.

The static and spherically symmetric configurations have non-trivial winding number and finite soliton mass.
These configurations possess an extra topological charge, allowing for a novel BPS bound which can be saturated, unlike what happens in the standard case.
Such solutions include exact multi-Skyrmions of arbitrary winding number, composed by interacting elementary Skyrmions.

Built on

T. Skyrme, Proc. R. Soc. London
1962
Earlier work this paper cites.
J. K. Perring, T. H. R. Skyrme, Nucl. Phys
1962
Earlier work this paper cites.
J. P. Blaizot, Phys. Rep
1980
Earlier work this paper cites.
N. S. Manton, Phys. Lett
1982
Earlier work this paper cites.
E. Witten, Nucl. Phys. B 223
1983
Earlier work this paper cites.
G. S. Adkins, C. R. Nappi, E. Witten, Nucl. Phys
1983
Earlier work this paper cites.
E. Guadagnini, Nucl. Phys
1984
Earlier work this paper cites.
For details, see A.P. Balachandran, H. Gomm, R.D. Sorkin, Nucl. Phys
1985
Earlier work this paper cites.
N. S. Manton, P. J. Ruback, Phys. Lett
1986
Earlier work this paper cites.

Similar

N. S. Manton, Comm. Math. Phys
1987
Cited alongside, same era.
A. N. Bogdanov D. A. Yablonsky, Sov. Phys. JETP
1989
Cited alongside, same era.
R. A. Battye, P. M. Sutcliffe, Phys. Rev. Lett
1997
Cited alongside, same era.
C. J. Houghton, N. S. Manton, P. M. Sutcliffe, Nucl. Phys
1998
Cited alongside, same era.
U. Al Khawaja, H. Stoof, Nature
2001
Cited alongside, same era.
Y. M. Cho, Phys. Rev. Lett
2001
Cited alongside, same era.
T. Sakai and S. Sugimoto, Prog. Theor. Phys
2005
Cited alongside, same era.

Then

J.-I. Fukuda, S. Zumer, Nature Communications
2011
Later among the works it cites.
H. Pais, J. R. Stone, Phys. Rev. Lett
2012
Later among the works it cites.
F. Canfora, P. Salgado-Rebolledo, Phys. Rev
Original
2013
Later among the works it cites.
F. Canfora, H. Maeda, Phys. Rev
Original
2013
Later among the works it cites.
F. Canfora, Phys. Rev
Original
2013
Later among the works it cites.
C. Adam and A. Wereszczynski, Phys. Rev. D 89
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

N. Manton and P. Sutcliffe, Topological Solitons

2007

Cited alongside, same era.

S. Mühlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, P. Böni, Science

2009

Cited alongside, same era.

H. Weigel, Chiral Soliton Models for Baryons

Cited in the paper.

The only case in which the bound with the winding number can be saturated corresponds to choosing the spatial section as S 3 S^{3} [ 21 , 22 ] . Here we analyze the case in which the bound cannot be saturated in terms of the winding, which is phenomenologically reasonable

Cited in the paper.

Time-dependent solutions can be easily obtained by applying Lorentz boosts in the x − t x-t plane to α ⁡ ( x ) \alpha(x) , producing Skyrmions moving with constant velocity

Cited in the paper.

2014

Closest in time.

S. Chen, Y. Li and Y. Yang, Phys. Rev

2014

Closest in time.

C. Adam, C. Naya, J. Sanchez-Guillen, J. M. Speight and A. Wereszczynski, Phys. Rev

2014

Closest in time.