Noether’s theorems and the energy-momentum tensor in quantum gauge theories
Nov 30, 202111 pages
Published in:
- Phys.Rev.D 106 (2022) 12, 125012
- Published: Dec 15, 2022
e-Print:
- 2112.00047 [hep-th]
DOI:
- 10.1103/PhysRevD.106.125012 (publication)
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Abstract: (APS)
Noether’s first and second theorems both imply conserved currents that can be identified as an energy-momentum tensor (EMT). The first theorem identifies the EMT as the conserved current associated with global spacetime translations, while the second theorem identifies it as a conserved current associated with local spacetime translations. This work obtains an EMT for quantum electrodynamics and quantum chromodynamics through the second theorem, which is automatically symmetric in its indices and invariant under the expected symmetries [e.g., Becchi-Rouet-Stora-Tyutin (BRST) invariance] without the need for introducing an ad hoc improvement procedure.Note:
- 11 pages, 1 figure
- tensor: energy-momentum
- invariance: Becchi-Rouet-Stora
- field theory: vector
- conservation law: Noether
- field theory: scalar
- spinor
- quantum electrodynamics
- quantum chromodynamics
- gauge field theory
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