Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP09(2017)028
Keywords
Effective Field Theories; Sigma Models; Solitons Monopoles and Instantons
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Funding
- Recruitment Program of High-end Foreign Experts
- National Natural Science Foundation of China [11675223]
- Ministry of Education, Culture, Sports, Science (MEXT) of Japan [15H05855]
- Japan Society for the Promotion of Science (JSPS) [16H03984]
- MEXT-Supported Program for the Strategic Research Foundation at Private Universities [S1511006]
- Grants-in-Aid for Scientific Research [15H05855, 16H03984] Funding Source: KAKEN
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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.
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