algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
In gauge theory, a gauge transformation is called large if it is not connected to the identity gauge transformation by a path in the gauge group.
As opposed to other (small) gauge transformations, large gauge transformations count as global symmetries.
Marc Henneaux, Claudio Teitelboim; p. 30–31 in: Quantization of Gauge Systems, Princeton University Press (1992) [doi:10.2307/j.ctv10crg0r]
Roman Jackiw; p. 6 of: Nonperturbative and Topological Aspects of Gauge Theories, Encyclopedia of Mathematical Physics (2006) 568–578 [doi:10.1016/B0-12-512666-2/00304-7, arXiv:hep-th/0501178]
David Tong; p. 53 of: Lectures on Gauge Theory [webpage]
John Dougherty: Large gauge transformations and the strong CP problem, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 69 (2020) 50–66 [doi:10.1016/j.shpsb.2019.09.001]
See also:
In the context of asymptotic symmetries of electromagnetism/quantum electrodynamics
Barak Gabai, Amit Sever: Large Gauge Symmetries and Asymptotic States in QED, J. High Energ. Phys. 2016 95 (2016) [doi:10.1007/JHEP12(2016)095, arXiv:1607.08599]
Andrew Strominger: Large Gauge Symmetry, section 2.7 in: Lectures on the Infrared Structure of Gravity and Gauge Theory, Princeton University Press (2018) [ISBN:9780691179506, arXiv:1703.05448 hep-th]
Last revised on May 22, 2026 at 06:40:18. See the history of this page for a list of all contributions to it.