Canonical currents without improvements: the QCD example
Abstract
In conventional formulations of relativistic field theory, energy-momentum and angular-momentum currents are defined only up to improvement terms in flat spacetime, and in curved spacetime they are conserved only along symmetries of the metric. When defined as canonical Noether currents relative to an independent parallel frame, as in General Parallel Relativity, they are both unambiguous and conserved. For QCD, the gauge-invariant tensor, the Belinfante-Rosenfeld relation and the spin surface term follow from the variational principle. An exact coupled solution is shown to have conserved energy and rotation charges without the corresponding symmetries. Quarks of opposite helicity are indistinguishable by the metric and the symmetric energy-momentum tensor, yet carry opposite rotation charges.
Related
- Comparison of existing methods to derive phytoplankton cell diameter from flow cytometry and ways for improvements
- Quantum Tsallis Entropy Estimation: Near-Optimal Bounds and High-Precision Improvements
- Comments on the recent improvements of the MRRW bounds
- On Punching "Power": Practical Equivalents between improvements in Strike Speed and Effective, Striking Mass
- A Quantum/Classical Example Oracle Separation for Making Things Up
BibTeX
@misc{koivisto2026canonical,
title = {{Canonical currents without improvements: the QCD example}},
author = {Tomi Koivisto},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24040},
eprint = {2610.24040},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24040},
}
RIS
TY - UNPB
TI - Canonical currents without improvements: the QCD example
AU - Tomi Koivisto
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.24040
UR - https://arxiv.org/abs/2610.24040
AB - In conventional formulations of relativistic field theory, energy-momentum and angular-momentum currents are defined only up to improvement terms in flat spacetime, and in curved spacetime they are conserved only along symmetries of the metric. When defined as canonical Noether currents relative to an independent parallel frame, as in General Parallel Relativity, they are both unambiguous and conserved. For QCD, the gauge-invariant tensor, the Belinfante-Rosenfeld relation and the spin surface term follow from the variational principle. An exact coupled solution is shown to have conserved energy and rotation charges without the corresponding symmetries. Quarks of opposite helicity are indistinguishable by the metric and the symmetric energy-momentum tensor, yet carry opposite rotation charges.
ER -