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19952022
most citedCompact oscillons in the signum-Gordon model

40 citations · 178 across the 22 of their papers we have counts for

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12 papers · 1 filter

hep-th2022★ 1 cited

Axial momentum and quantization of the Majorana field

H. Arodz

New approach to quantization of the relativistic Majorana field is presented. It is based on expansion of the field into eigenfunctions of the axial momentum -- a novel observable…

hep-th2013★ 1 cited

Three-body forces from a classical nonlinear field

H. Arodz, J. Karkowski, Z. Swierczynski

Forces in the systems of two opposite sign and three identical charges coupled to the dynamical scalar field of the signum-Gordon model are investigated. Three-body force is presen…

hep-th2013★ 3 cited

Total screening and finite range forces from ultra-massive scalar fields

H. Arodz, J. Karkowski, Z. Swierczynski

Force between static point particles coupled to a classical ultra-massive scalar field is calculated. The field potential is proportional to the modulus of the field. It turns out…

hep-th2012★ 1 cited

Note on scale invariance and self-similar evolution in (3+1)-dimensional signum-Gordon model

H. Arodz, J. Karkowski, Z. Swierczynski

Several classes of self-similar, spherically symmetric solutions of relativistic wave equation with nonlinear term of the form sign(ϕ) are presented. They are constructed from cubi…

hep-th2011★ 17 cited

Swaying oscillons in the signum-Gordon model

H. Arodz, Z. Swierczynski

We present a new class of oscillons in the (1+1)-dimensional signum-Gordon model. The oscillons periodically move to and fro in the space. They have finite total energy, finite siz…

hep-th2007★ 40 cited

Compact oscillons in the signum-Gordon model

H. Arodz, P. Klimas, T. Tyranowski

We present explicit solutions of the signum-Gordon scalar field equation which have finite energy and are periodic in time. Such oscillons have a strictly finite size. They do not…