BPS solitons in Lifshitz field theories
Archil Kobakhidze, Jayne E Thompson, Raymond R Volkas
PHYSICAL REVIEW D | AMER PHYSICAL SOC | Published : 2011
Lorentz-invariant scalar-field theories in d+1 dimensions with second-order derivative terms are unable to support static soliton solutions that are both finite in energy and stable for d>2, a result known as Derrick's theorem. Lifshitz theories, which introduce higher-order spatial derivatives, need not obey Derrick's theorem. We construct stable, finite-energy, static soliton solutions in Lifshitz scalar-field theories in 3+1 dimensions with a dynamical critical exponent z=2. We exhibit three generic types: nontopological point defects, topological point defects, and topological strings. We focus mainly on Lifshitz theories that are defined through a superpotential and admit Bogomolnyi-Pra..View full abstract
We thank Damien George for useful comments. This work was supported in part by the Australian Research Council and in part by the Puzey bequest to the University of Melbourne. R. R. V. thanks O. Yasuda and H. Minakata for their kind hospitality at Tokyo Metropolitan University where this work was completed.