 Local Gauss Law and Local Gauge Symmetries in QFTFranco Strocchi ()
A chapter in Trails in Modern Theoretical and Mathematical Physics, 2023, pp 233-245 from Springer Abstract: Abstract Local gauge symmetries reduce to the identity on the observables, as well as on the physical states (apart from reflexes of the local gauge group topology) and therefore their use in Quantum Field Theory (QFT) asks for a justification of their strategic role. They play an intermediate role in deriving the validity of Local Gauss Laws on the physical states (for the currents which generate the related global gauge group); conversely, we show that local gauge symmetries arise whenever a vacuum representation of a local field algebra $$\mathcal{F}$$ is used for the description/construction of physical states satisfying Local Gauss Laws, just as global compact gauge groups arise for the description of localizable states labeled by superselected quantum numbers. The above relation suggests that the Gauss operator $$\bf{G}$$ , which by locality cannot vanish in $$\mathcal{F}$$ , provides an intrinsic characterization of the realizations of a gauge QFT in terms of a local field algebra $$\mathcal{F}$$ and of the related local gauge symmetries generated by $$\bf{G}$$ . Date: 2023 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-44988-8_13 Ordering information: This item can be ordered from DOI: 10.1007/978-3-031-44988-8_13 Access Statistics for this chapter More chapters in Springer Books from Springer |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.