Temperature, Topology and Quantum Fields

TL;DR

This thesis explores the interplay of temperature, topology, and quantum fields using path integrals and Green's functions to analyze various quantum systems in curved spacetime, revealing fundamental insights like the non-equivalence of inertial and gravitational mass.

Contribution

It introduces new methods for studying finite temperature quantum systems in curved spacetime and provides novel results on their behavior and properties.

Findings

Non-Equivalence of Inertial and Gravitational Mass

Analysis of finite temperature quantum systems in curved spacetime

Insights into topological quantum field models

Abstract

This thesis uses Path Integrals and Green's Functions to study Gravity, Quantum Field Theory and Statistical Mechanics, particularly with respect to: finite temperature quantum systems of different spin in gravitational fields; finite temperature interacting quantum systems in perturbative regime; self-interacting fermi models in non-trivial space-time of different dimensions; non-linear quantum models at finite temperatures in a background curved space-time; 3-D topological field models in non-trivial space-time and at finite temperatures; thermal quantum systems in a background curved space-time. Results include: Non-Equivalence of Inertial and Gravitational Mass.