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Open Quantum Systems Decoherence Quantum Simulation

On the Enumerative Structures in Quantum Field Theory

arXiv
Authors: Ali Assem Mahmoud

Year

2020

Paper ID

21186

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

This thesis addresses a number of enumerative problems that arise in the context of quantum field theory and in the process of renormalization. In particular, the enumeration of rooted connected chord diagrams is further studied and new applications in quenched QED and Yukawa theories are introduced. Chord diagrams appear in quantum field theory in the context of Dyson-Schwinger equations, where, according to recent results, they are used to express the solutions. In another direction, we study the action of point field diffeomorphisms on a free theory. We give a new proof of a vanishing phenomenon for tree-level amplitudes of the transformed theories.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • This thesis addresses a number of enumerative problems that arise in the context of quantum field theory and in the process of renormalization.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2008.11661 [2] arXiv https://arxiv.org/abs/2008.11661 [3] Publisher https://arxiv.org/abs/2008.11661

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