# Quantum aspects of self-interacting fields around cosmic strings

## TL;DR

This paper investigates quantum effects of self-interacting scalar and fermionic fields around cosmic strings, calculating key physical quantities and discussing their implications in conical spacetime backgrounds.

## Contribution

It provides new calculations of $raket{^2}$ and energy-momentum tensor for self-interacting fields in cosmic string backgrounds, including fermionic condensates.

## Key findings

- Calculated renormalized $raket{^2}$ and energy-momentum tensor near cosmic strings.
- Estimated fermionic condensates with four-fermion interactions.
- Discussed physical implications of quantum effects in conical spacetime.

## Abstract

The authors study the quantum effect of self-interacting fields in the classical background of conical space, i.e. around a cosmic string with infinitesimal width. The renormalized value of $\langle\phi^2\rangle$ and energy-momentum tensor in the presence of cosmic strings are calculated in the self-interacting scalar field theory. The amount of condensation is also estimated in the case of the Dirac Lagrangian with the four-fermion interaction. The physical implications of the above analyses are discussed.