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Quantization of the electroweak Volkov-Proca theory
Abstract
We quantize the charged sector of the electroweak theory in an external electromagnetic plane-wave background after spontaneous symmetry breaking, which we refer to as the electroweak Volkov-Proca theory, and analyze its global U(1) symmetry and continuous residual translation subgroup together with the associated conserved charges and momentum components that label the states. We further derive the completeness and orthonormality relations for the Volkov-Proca states in Ritus form, and construct the off-shell and on-shell propagators, including their representation in terms of the scalar Volkov propagator. Finally, we derive the Källén-Lehmann spectral representation and the LSZ reduction formula for the Volkov-Proca states.
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BibTeX
@misc{patuleanu2026quantization,
title = {{Quantization of the electroweak Volkov-Proca theory}},
author = {Tudor Pătuleanu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.33825},
eprint = {2609.33825},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.33825},
}
RIS
TY - UNPB
TI - Quantization of the electroweak Volkov-Proca theory
AU - Tudor Pătuleanu
PY - 2026
DA - 2026/09/27
PB - arXiv
DO - 10.48550/arxiv.2609.33825
UR - https://arxiv.org/abs/2609.33825
AB - We quantize the charged sector of the electroweak theory in an external electromagnetic plane-wave background after spontaneous symmetry breaking, which we refer to as the electroweak Volkov-Proca theory, and analyze its global U(1) symmetry and continuous residual translation subgroup together with the associated conserved charges and momentum components that label the states. We further derive the completeness and orthonormality relations for the Volkov-Proca states in Ritus form, and construct the off-shell and on-shell propagators, including their representation in terms of the scalar Volkov propagator. Finally, we derive the Källén-Lehmann spectral representation and the LSZ reduction formula for the Volkov-Proca states.
ER -