Abstract
We propose a higher-order Skyrme model with derivative terms of eighth, tenth and twelfth order. Our construction yields simple and easy-to-interpret higher-order Lagrangians. We first show that a Skyrmion with higher-order terms proposed by Marleau has an instability in the form of a baby-Skyrmion string, while the static energies of our construction are positive definite, implying stability against time-independent perturbations. However., we also find that the Hamiltonians of our construction possess two kinds of dynamical instabilities, which may indicate the instability with respect to time-dependent perturbations. Different from the well-known Ostrogradsky instability, the instabilities that we find are intrinsically of nonlinear nature and also due to the fact that even powers of the inverse metric gives a ghost-like higher-order kinetic-like term. The vacuum state is, however, stable. Finally., we show that at sufficiently low energies, our Hamiltonians in the simplest cases, are stable against time-dependent perturbations.
| Original language | English |
|---|---|
| Article number | 28 |
| Journal | Journal of High Energy Physics |
| Volume | 2017 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 2017 Sep 1 |
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Keywords
- Effective Field Theories
- Sigma Models
- Solitons Monopoles and Instantons
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
A higher-order Skyrme model. / Gudnason, Sven Bjarke; Nitta, Muneto.
In: Journal of High Energy Physics, Vol. 2017, No. 9, 28, 01.09.2017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A higher-order Skyrme model
AU - Gudnason, Sven Bjarke
AU - Nitta, Muneto
PY - 2017/9/1
Y1 - 2017/9/1
N2 - We propose a higher-order Skyrme model with derivative terms of eighth, tenth and twelfth order. Our construction yields simple and easy-to-interpret higher-order Lagrangians. We first show that a Skyrmion with higher-order terms proposed by Marleau has an instability in the form of a baby-Skyrmion string, while the static energies of our construction are positive definite, implying stability against time-independent perturbations. However., we also find that the Hamiltonians of our construction possess two kinds of dynamical instabilities, which may indicate the instability with respect to time-dependent perturbations. Different from the well-known Ostrogradsky instability, the instabilities that we find are intrinsically of nonlinear nature and also due to the fact that even powers of the inverse metric gives a ghost-like higher-order kinetic-like term. The vacuum state is, however, stable. Finally., we show that at sufficiently low energies, our Hamiltonians in the simplest cases, are stable against time-dependent perturbations.
AB - We propose a higher-order Skyrme model with derivative terms of eighth, tenth and twelfth order. Our construction yields simple and easy-to-interpret higher-order Lagrangians. We first show that a Skyrmion with higher-order terms proposed by Marleau has an instability in the form of a baby-Skyrmion string, while the static energies of our construction are positive definite, implying stability against time-independent perturbations. However., we also find that the Hamiltonians of our construction possess two kinds of dynamical instabilities, which may indicate the instability with respect to time-dependent perturbations. Different from the well-known Ostrogradsky instability, the instabilities that we find are intrinsically of nonlinear nature and also due to the fact that even powers of the inverse metric gives a ghost-like higher-order kinetic-like term. The vacuum state is, however, stable. Finally., we show that at sufficiently low energies, our Hamiltonians in the simplest cases, are stable against time-dependent perturbations.
KW - Effective Field Theories
KW - Sigma Models
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=85029228731&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85029228731&partnerID=8YFLogxK
U2 - 10.1007/JHEP09(2017)028
DO - 10.1007/JHEP09(2017)028
M3 - Article
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 9
M1 - 28
ER -