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Updated: Mar 2, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Effect of Compactified Dimensions and Background Magnetic Fields on the Phase Structure of SU(N) Gauge Theories
Massimo D'Elia1, Marco Mariti1
1INFN-Sezione di Pisa, Largo Pontecorvo 3, I-56127 Pisa, Italy and Dipartimento di Fisica dell'Università di Pisa, Largo Pontecorvo 3, I-56127 Pisa, Italy.
Abstract:
We discuss the properties of non-Abelian gauge theories formulated on manifolds with compactified dimensions and in the presence of fermionic fields coupled to magnetic backgrounds. We show that different phases may emerge, corresponding to different realizations of center symmetry and translational invariance, depending on the compactification radius and on the magnitude of the magnetic field. Our discussion then focuses on the case of an SU(3) gauge theory in four dimensions with fermions fields in the fundamental representation, for which we provide some exploratory numerical lattice results.
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