The virial relation for compact Q-balls in the complex signum-Gordon model

Abstract

In this work the properties of Q-balls in the complex signum-Gordon model in $d$ spatial dimensions is studied. We obtain a general virial relation for this kind of Q-ball in the higher-dimensional spacetime. We compute the energy and radii of Q-ball with V-shaped field potential as a function of spatial dimensionality and a parameter defining the model potential energy density.

10 pages, 2 figures

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Cited by in corpus (3)

• The virial relation for the Q-balls in the thermal logarithmic potential revisited analytically
• The further estimations of the Q-balls with one-loop motivated effective potential
• Strictly finite range forces from the signum-Gordon field: exact results in two spatial dimensions