Conserved and nonconserved Noether currents from the quantum effective action

• Verfasst von: Flörchinger, Stefan [VerfasserIn]
• Verfasst von: Grossi, Eduardo [VerfasserIn]
• Titel: Conserved and nonconserved Noether currents from the quantum effective action
• Verf.angabe: Stefan Floerchinger, Eduardo Grossi
• E-Jahr: 2022
• Jahr: 25 April 2022
• Umfang: 26 S.
• Fussnoten: Gesehen am 23.08.2022
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2022
• Band/Heft Quelle: 105(2022), 8 vom: 15. Apr., Artikel-ID 085015, Seite 1-26
• ISSN Quelle: 2470-0029
• DOI: doi:10.1103/PhysRevD.105.085015
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1814977171

Abstract

The quantum effective action yields equations of motion and correlation functions including all quantum corrections. We discuss here how it encodes also Noether currents at the full quantum level. Interestingly, the construction can be generalized beyond the standard symmetry transformations that leave the action invariant. We also discuss an extended set of transformations, which change the action by a term that is locally known on the level of the quantum effective action. Associated to such extended gauge transformations are currents for which we obtain a divergence-type equation of motion, but they are not conserved. We call them nonconserved Noether currents. We discuss, in particular, symmetries and extended transformations associated to space-time geometry for relativistic quantum field theories. These encompass local dilatations or Weyl gauge transformation, local Lorentz transformations, and local shear transformations. Together they constitute the symmetry group of the frame bundle GL(d). The corresponding nonconserved Noether currents are the dilatation or Weyl current, the spin current, and the shear current. In particular, for the latter, we obtain a new divergence-type equation of motion.