In 4D Maxwell theory, standard Neumann/Dirichlet boundary conditions render large gauge transformations and edge mode shifts as gauge redundancies, while modified conditions make them physical symmetries generated by topological surface operators, with new electromagnetic dual boundary conditions co
Gauge invariant composite fields out of connections, with examples
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abstract
In this paper we put forward a systematic and unifying approach to construct gauge invariant composite fields out of connections. It relies on the existence in the theory of a group valued field with a prescribed gauge transformation. As an illustration, we detail some examples. Two of them are based on known results: the first one provides a reinterpretation of the symmetry breaking mechanism of the electroweak part of the Standard Model of particle physics; the second one is an application to Einstein's theory of gravity described as a gauge theory in terms of Cartan connections. The last example depicts a new situation: starting with a gauge field theory on Atiyah Lie algebroids, the gauge invariant composite fields describe massive vector fields. Some mathematical and physical discussions illustrate and highlight the relevance and the generality of this approach.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
An invariant path-integral quantization for GR gauge theories based on the Dressing Field Method that implements automatic anomaly cancellation encompassing Bardeen-Wess-Zumino counterterms.
citing papers explorer
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Revisiting boundary electromagnetic duality and edge modes
In 4D Maxwell theory, standard Neumann/Dirichlet boundary conditions render large gauge transformations and edge mode shifts as gauge redundancies, while modified conditions make them physical symmetries generated by topological surface operators, with new electromagnetic dual boundary conditions co
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Invariant Path-Integral Quantization and Anomaly Cancellation
An invariant path-integral quantization for GR gauge theories based on the Dressing Field Method that implements automatic anomaly cancellation encompassing Bardeen-Wess-Zumino counterterms.