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  LSZ-reduction, resonances and non-diagonal propagators: gauge fields

Lewandowski, A. (2018). LSZ-reduction, resonances and non-diagonal propagators: gauge fields. Nuclear Physics B, 935, 40-82. doi:10.1016/j.nuclphysb.2018.08.004.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-74F8-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F67D-D
Genre: Journal Article

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 Creators:
Lewandowski, Adrian1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Phenomenology, hep-ph,High Energy Physics - Theory, hep-th
 Abstract: We analyze in the Landau gauge mixing of bosonic fields in gauge theories with exact and spontaneously broken symmetries, extending to this case the Lehmann-Symanzik-Zimmermann (LSZ) formalism of the asymptotic fields. Factorization of residues of poles (at real and complex values of the variable $p^2$) is demonstrated and a simple practical prescription for finding the "square-rooted" residues, necessary for calculating $S$-matrix elements, is given. The pseudo-Fock space of asymptotic (in the LSZ sense) states is explicitly constructed and its BRST-cohomological structure is elucidated. Usefulness of these general results, obtained by investigating the relevant set of Slavnov-Taylor identities, is illustrated on the one-loop examples of the $Z^0$-photon mixing in the Standard Model and the $G_Z$-Majoron mixing in the singlet Majoron model.

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 Dates: 2018-03-302018-08-242018
 Publication Status: Published in print
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 Identifiers: arXiv: 1803.11434
DOI: 10.1016/j.nuclphysb.2018.08.004
URI: http://arxiv.org/abs/1803.11434
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Title: Nuclear Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 935 Sequence Number: - Start / End Page: 40 - 82 Identifier: -