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Realization of Higher-Form Symmetries in SU(N) Gauge Theory and their Spontaneous Symmetry Breaking

Uxue, Jimenez Hernani (2025) Realization of Higher-Form Symmetries in SU(N) Gauge Theory and their Spontaneous Symmetry Breaking. Bachelor's Thesis, Mathematics.

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Abstract

This thesis investigates the realization and spontaneous breaking of the 1-form centre symmetry in SU(N) gauge theories, focusing on pure Yang–Mills theory as a model of QCD without quarks. By employing differential forms, the work provides a geometric and topological description of symmetries and confinement. Wilson and Polyakov loops are identified as order parameters diagnosing symmetry breaking and the confinement–deconfinement transition.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Waalkens, H. and Boer, D.
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 09 Dec 2025 08:01
Last Modified: 09 Dec 2025 08:01
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/37160

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