Ph.D. Thesis: Quantum Field Theory and Gravity in Causal Sets

TL;DR

This thesis explores extending matter fields and their Lagrangians from traditional spacetime to causal sets, aiming to deepen understanding of quantum field theory and gravity in discrete spacetime models.

Contribution

It introduces a framework for generalizing matter fields and Lagrangians to causal sets, bridging quantum field theory with discrete spacetime structures.

Findings

Proposed a method for defining matter fields on causal sets

Extended Lagrangian formulations to discrete spacetime

Laid groundwork for quantum gravity models in causal set theory

Abstract

This is is a copy of dissertation that I have submitted in defense of my ph.d. thesis, with some minor changes that I have made since then. The goal of the project is to generalize matter fields and their Lagrangians from regular space time to causal sets.