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Résumé |
In this talk, I revisit the problem of deriving local gauge invariance
with spontaneous symmetry breaking in the context of an Effective Field
Theory (EFT).
Previous derivations were based on the condition of tree-order unitarity.
However, the modern point of view considers the Standard Model as the
leading order approximation to an EFT.
As tree-order unitarity is in any case violated by higher-order terms in an
effective field theory, it is instructive to investigate a formalism which
can be also applied to analyze higher-order interactions.
For that, I consider an effective field theory of massive vector bosons
interacting with a massive scalar field. Imposing a number of physical
conditions and requiring perturbative renormalizability as well as scale
separation lets one recover the gauge-invariant Lagrangian with spontaneous
symmetry breaking taken in the unitary gauge as the
leading order approximation to an EFT.
The implementation of electromagnetism is also touched upon. Finally, I
outline the additional work that is required to finish this program. |
