Towards the spectrum of the SU(2) adjoint Higgs model

Afferrante, Vincenzo; Maas, Axel; Toerek, Pascal

doi:10.22323/1.360.0038

Cited by 1 publication

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“…Similar constructions of H -invariant operators can also be done for all those elementary fields that transform as K singlets. This has been confirmed in all models that have been investigated in lattice calculations so far [Afferrante et al (2020a); Afferrante, Maas, and Törek (2020b); Törek (2017, 2018); Törek et al (2018)].…”

Section: The Fms Formulation For General Gauge Theories With a Beh Me...supporting

confidence: 62%

“…Indeed, it is straightforward to find strict SU (2)-invariant operators that map on the elementary scalar boson as well as on the massless vector particle [Maas, Sondenheimer, and Törek (2019)]. However, no SU (2)invariant operator exist that maps on an operator generating a U (1) charged state [Sondenheimer (2020)] which is in accordance with lattice investigations [Afferrante et al (2020a[Afferrante et al ( , 2020b; I.-H. Lee and Shigemitsu (1986)]. Again, we can only extract a K (= U (1))-invariant operator from any H -invariant operator.…”

Section: The Fms Formulation For General Gauge Theories With a Beh Me...mentioning

confidence: 67%

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Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches

Berghofer¹,

François²,

Friederich³

et al. 2021

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Gauge symmetries play a central role, both in the mathematical foundations as well as the conceptual construction of modern (particle) physics theories. However, it is yet unclear whether they form a necessary component of theories, or whether they can be eliminated. It is also unclear whether they are merely an auxiliary tool to simplify (and possibly localize) calculations or whether they contain independent information. Therefore their status, both in physics and philosophy of physics, remains to be fully clarified. In this overview we review the current state of affairs on both the philosophy and the physics side. In particular, we focus on the circumstances in which the restriction of gauge theories to gauge invariant information on an observable level is warranted, using the Brout-Englert-Higgs theory as an example of particular current importance. Finally, we determine a set of yet to be answered questions to clarify the status of gauge symmetries.

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Section: The Fms Formulation For General Gauge Theories With a Beh Me...supporting

confidence: 62%