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SUMMARY:Topological defects with power-law tails
DTSTART;VALUE=DATE-TIME:20161011T133000Z
DTEND;VALUE=DATE-TIME:20161011T134500Z
DTSTAMP;VALUE=DATE-TIME:20260713T091138Z
UID:indico-contribution-660@cern.ch
DESCRIPTION:Speakers: Roman Radomskiy (NRNU MEPhI)\nWe study scalar field 
 models with polynomial self-interaction. We write out conditions for the p
 otential which are to be satisfied for kinks with power-law asymptotics to
  exist. Using the model $\\varphi^8$ as an example\, we show that power-la
 w asymptotics of kinks lead to their long-range interaction. Within the co
 llective coordinate approximation we estimate the effective kink-antikink 
 potential and force in two cases: for kinks with power-law asymptotics\, a
 nd for kinks with exponential asymptotics. The numerical results from the 
 collective coordinate approximation are compared to asymptotic estimates o
 f the force of interaction via Manton's method. This long-range interactio
 n can have substantial consequences for phenomenology of physical systems\
 , the dynamics of which is described by field-theoretical models with poly
 nomial potentials. In particular\, domain walls in such models would inter
 act at large distances.\n\nhttps://indico.particle.mephi.ru/event/4/contri
 butions/660/
LOCATION:Milan Hotel Rossini
URL:https://indico.particle.mephi.ru/event/4/contributions/660/
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