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PreprintCC BY 4.0arXiv

8-type electric flux tube solutions in SU(3) gauge theory

Abstract

We consider electric flux tube solutions in SU(3) gauge theory with scalar fields in the fundamental representation, for an electric field in the λ8 direction (8-type). In temporal gauge, the 3-type electric field rotates within a single SU(2) subgroup at one frequency, whereas the 8-type electric field necessarily rotates within three SU(2) subgroups with at least two different frequencies. We construct the homogeneous 8-type electric field with three scalar fields and show that two scalar fields are sufficient only on a one-parameter family of gauge field backgrounds. Like the 3-type field, the homogeneous 8-type field is immune to decay through Schwinger pair production of gauge bosons. We then construct an 8-type electric string solution in temporal gauge. Its electric field is of 8-type on the string axis and, unlike the 3-type string, the string is only net color neutral, which results in a weak radial electric field.

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BibTeX
@misc{pereira20268type,
  title = {{8-type electric flux tube solutions in SU(3) gauge theory}},
  author = {Jude Pereira},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29087},
  eprint = {2610.29087},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29087},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - 8-type electric flux tube solutions in SU(3) gauge theory
AU  - Jude Pereira
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29087
UR  - https://arxiv.org/abs/2610.29087
AB  - We consider electric flux tube solutions in SU(3) gauge theory with scalar fields in the fundamental representation, for an electric field in the λ_8 direction (8-type). In temporal gauge, the 3-type electric field rotates within a single SU(2) subgroup at one frequency, whereas the 8-type electric field necessarily rotates within three SU(2) subgroups with at least two different frequencies. We construct the homogeneous 8-type electric field with three scalar fields and show that two scalar fields are sufficient only on a one-parameter family of gauge field backgrounds. Like the 3-type field, the homogeneous 8-type field is immune to decay through Schwinger pair production of gauge bosons. We then construct an 8-type electric string solution in temporal gauge. Its electric field is of 8-type on the string axis and, unlike the 3-type string, the string is only net color neutral, which results in a weak radial electric field.
ER  -