# Tensor network approach to real-time path integral

## TL;DR

This paper introduces a tensor network method to represent the real-time path integral for a scalar field in 1+1 dimensions, enabling efficient numerical analysis of quantum field dynamics.

## Contribution

The paper develops a tensor network framework for the real-time path integral in scalar field theory, providing a new computational approach for quantum field simulations.

## Key findings

- Tensor network representation matches exact results in non-interacting case
- Numerical verification confirms the method's accuracy
- Provides a foundation for studying interacting theories

## Abstract

We present a tensor network representation of the path integral for the one-component real scalar field theory in 1+1 dimensional Minkowski space-time. It is numerically verified by comparing with the exact result in the non-interacting case.