Noether's variational theorem II and the BV formalism

2002/04/07 by Ron Fulp, Fulp, Ron, Tom Lada +3 · 3 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #18G10 #18G55 #81R10 #81T40 #81T70 #Algebraic Topology (math.AT) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Quantum Chromodynamics and Particle Interactions #Seismic Imaging and Inversion Techniques #hep-th #math.AT #math.QA #msc:18G10 #msc:18G55 #msc:81R10 #msc:81T40 #msc:81T70

paper · pdf · doi:10.48550/arxiv.math/0204079

15 pages, submitted to the Proceedings of the 2002 Winter School ``Geometry and Physics'', Srni, Czech Republic

arxiv created 2002/04/07 · openalex publication_date 2002/04/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We review the basics of the Lagrangian approach to field theory and recast Noether's Second Theorem formulated in her language of dependencies using a slight modernization of terminology and notation. We then present the Cattaneo-Felder sigma model and work out the Noether identities or dependencies for this model. We review the description of the Batalin-Vilkovisky formalism and show explicitly how the anti-ghosts encode the Noether identities in this example.

Citations

• Quantization of Gauge Systems

Cited by

• Equivariant BRST quantization and reducible symmetries
• Batalin–Vilkovisky integrals in finite dimensions
• Noether's second theorem in a general setting: reducible gauge theories

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