Lie algebroids and the geometry of off-shell BRST
| Autor: | Robert G. Leigh, Luca Ciambelli |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics 010308 nuclear & particles physics Formalism (philosophy) 010102 general mathematics Structure (category theory) Vector bundle FOS: Physical sciences Geometry QC770-798 Mathematical Physics (math-ph) 01 natural sciences Physique atomique et nucléaire BRST quantization Gravitation Quantization (physics) High Energy Physics::Theory High Energy Physics - Theory (hep-th) Simple (abstract algebra) Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences Gauge theory 0101 mathematics Mathematical Physics |
| Zdroj: | Nuclear Physics Nuclear Physics B Nuclear Physics B, Vol 972, Iss, Pp 115553-(2021) Nuclear physics. B, 972 |
| Popis: | It is well-known that principal bundles and associated bundles underlie the geometric structure of classical gauge field theories. In this paper, we explore the reformulation of gauge theories in terms of Lie algebroids and their associated bundles. This turns out to be a simple but elegant change, mathematically involving a quotient that removes spurious structure. The payoff is that the entire geometric structure involves only vector bundles over space-time, and we emphasize that familiar concepts such as BRST are built into the geometry, rather than appearing as adjunct structure. Thus the formulation of gauge theories in terms of Lie algebroids provides a fully off-shell account of the BRST complex. We expect that this formulation will have appealing impacts on the geometric understanding of quantization and anomalies, as well as entanglement in gauge theories. The formalism covers all gauge theories, and we discuss Yang-Mills theories with matter as well as gravitational theories explicitly. SCOPUS: ar.j info:eu-repo/semantics/published |
| Databáze: | OpenAIRE |
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