# Moscow International School of Physics 2020

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
12m
HSE Study Center “Voronovo”

#### HSE Study Center “Voronovo”

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

### Speaker

Mr Bulat Farkhtdinov (MIPT(SU), INR)

### Description

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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