3-9 March 2020
HSE Study Center “Voronovo”
Europe/Moscow timezone

Numerical study of multiparticle probabilities in the λϕ4 theory

3 Mar 2020, 18:06
HSE Study Center “Voronovo”

HSE Study Center “Voronovo”

Voronovskoe, Moscow Russian Federation
Talk [10+2 min] Young Scientist Forum Young Scientist Forum


Mr Bulat Farkhtdinov (MIPT(SU), INR)


The talk is aimed at giving insights from the ongoing research into multiparticle scattering in the real scalar field theory. The object of the research is the unbroken $\lambda \phi^4$ theory in the case of weak coupling. The research aims are to obtain semiclassical suppression exponents for the processes few $ \to N$, where $N$ is a semiclassically large ($\sim 1/\lambda$) final number of particles, and "few" is a few-particle initial state.

Since in the semiclassical limit solutions of the saddle-point equations (which replace classical field equations in semiclassics) become singular for considered boundary value problem (they have a discontinuity in the energy), 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 research, we start from source-dominated solutions which we can describe analytically and then take the limit $j\to 0$ by solving lattice saddle-point equations with Newton-Raphson method for every new smaller amplitude of the source, step by step.

During the talk, I would like to describe our research and show the first obtained results.

Primary author

Mr Bulat Farkhtdinov (MIPT(SU), INR)

Presentation Materials

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