TY - JOUR
T1 - A higher-order Skyrme model
AU - Gudnason, Sven Bjarke
AU - Nitta, Muneto
N1 - Funding Information:
Article funded by SCOAP3.
Publisher Copyright:
© 2017, The Author(s).
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
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U2 - 10.1007/JHEP09(2017)028
DO - 10.1007/JHEP09(2017)028
M3 - Article
AN - SCOPUS:85029228731
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 9
M1 - 28
ER -