2013/01/29 by Kasia Rejzner, Rejzner, Katarzyna · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1301.7037
openalex publication_date 2013/01/29 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
We investigate various aspects of invariance under local symmetries in the\nframework of perturbative algebraic quantum field theory (pAQFT). Our main\nresult is the proof that the quantum Batalin-Vilkovisky (BV) operator,\non-shell, can be written as the commutator with the interacting BRST charge. Up\nto now, this was proven only for a certain class of fields in quantum\nelectrodynamics and in Yang-Mills theory. Our result is more general and it\nholds in a wide class of theories with local symmetries, including general\nrelativity and the bosonic string. We also comment on other issues related to\nlocal gauge invariance and, using the language of homological algebra, we\ncompare different approaches to quantization of gauge theories in the pAQFT\nframework.\n