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SUMMARY:Numerical study of multiparticle probabilities in the λϕ4 theory
DTSTART;VALUE=DATE-TIME:20200303T150600Z
DTEND;VALUE=DATE-TIME:20200303T151800Z
DTSTAMP;VALUE=DATE-TIME:20210925T121822Z
UID:indico-contribution-257@rich2018.org
DESCRIPTION:Speakers: Bulat Farkhtdinov (MIPT(SU)\, INR)\nThe talk is aime
d at giving insights from the ongoing research into multiparticle scatteri
ng in the real scalar field theory. The object of the research is the unbr
oken $\\lambda \\phi^4$ theory in the case of weak coupling. The research
aims are to obtain semiclassical suppression exponents for the processes f
ew $ \\to N$\, where $N$ is a semiclassically large ($\\sim 1/\\lambda$) f
inal number of particles\, and "few" is a few-particle initial state. \n\n
Since in the semiclassical limit solutions of the saddle-point equations (
which replace classical field equations in semiclassics) become singular f
or considered boundary value problem (they have a discontinuity in the en
ergy)\, this singular behaviour can be represented through the term with a
delta-like source $j$ in the action. In this approach\, properties of the
saddle-point solutions are recovered in the limit $j\\to 0$. In our resea
rch\, we start from source-dominated solutions which we can describe analy
tically and then take the limit $j\\to 0$ by solving lattice saddle-point
equations with Newton-Raphson method for every new smaller amplitude of th
e source\, step by step.\n\nDuring the talk\, I would like to describe our
research and show the first obtained results.\n\nhttps://mosphys.ru/indic
o/event/5/contributions/257/
LOCATION:HSE Study Center “Voronovo”
URL:https://mosphys.ru/indico/event/5/contributions/257/
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