Göttingen 2025 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: Poster Session: Many-body Theory

MP 9.4: Poster

Mittwoch, 2. April 2025, 16:15–18:15, ZHG Foyer 1. OG

An analogue of the Meissner effect for a SU(2)-Yang-Mills field — •Philipp Wagner¹ and Martin Zirnbauer² — ¹Hahnenstraße 23, 50354 Hürth-Efferen — ²Institut für Theoretische Physik, Zülpicher Straße 77a, 50937 Köln

The decay of the electromagnetic field in a superconducting material, described by the Meissner-Ochsenfeld effect, is a well-known phenomenon of solid state physics. Here we consider an analogous situation for the weak interaction in the presence of a Higgs condensate. Mathematical foundations from Yang-Mills theory are used to set up the Lagrangians for both the Yang-Mills field and the Higgs field. Based upon these structures, an adapted London equation with an adapted London penetration depth is derived for a SU(2)-Yang-Mills field interacting with a spacetime-independent Higgs condensate. It is shown that all gauge bosons of the weak interaction individually exhibit the same phenomenological behavior as the electromagnetic field in a superconductor.

Keywords: Yang-Mills theory; Higgs mechanism; Non-abelian gauge theory