Undergraduate Honors Thesis

Abstract

• This is an honors thesis under the Department of Mathematics. The purpose of this paper is to outline the primary concepts in deformation quantization according to [2], including some advancements in its application to quantum field theory (QFT). Therefore we emphasize viewpoints in the “nice” (smooth finite-dimensional manifolds) case of deformation quantization that somewhat survive the field-theoretic context, such as (Hochschild) cohomology and c-equivalence operators. The deformation quantization of fields remains an active area of research, which is acknowledged by this paper and therefore only main ideas are outlined here. Many (outlines of) proofs appearing in the literature also appear in this paper, but full details are provided.

Creator

• Mann, Dion

Date Awarded

• 2023-04-13

Academic Affiliation

• Mathematics

Advisor

• Pflaum, Markus Josef

Committee Member

• Hermele, Michael Aaron
• Thiem, Nathaniel

Granting Institution

• University of Colorado Boulder

Subject

• Quantum Field Theory
• Deformation Quantization

Last Modified

• 2023-04-24

Resource Type

• Undergraduate Honors Thesis

Rights Statement

• In Copyright

Language

• English [eng]

Relationships

In Collection:

• Arts and Sciences Honors Program

Items

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	Mann_UGradThesis2023.pdf	2023-04-13	Public	Download