# Quantum theory of a strongly-dissipative scalar field

## TL;DR

This paper develops a quantum theoretical framework for a strongly dissipative scalar field using the Caldeira-Leggett model, involving canonical quantization and Hamiltonian diagonalization to analyze steady state properties.

## Contribution

It introduces a mode-dependent probability density and computes steady state energy and correlations at finite temperature within a strong-coupling dissipative quantum field model.

## Key findings

- Derived a diagonalized Hamiltonian using Fano technique.
- Calculated steady state energy and correlation functions.
- Introduced a mode-dependent probability density.

## Abstract

The properties of a quantum dissipative scalar field is analyzed by Caldeira-Leggett model in strong-coupling regime. The Lagrangian of the total system is canonically quantized and the full Hamiltonian is diagonalized using Fano technique. A mode-dependent probability density is introduced. The steady state energy and correlation functions at finite temperature are calculated in terms of the probability density.