preprint · arXiv (Cornell University) · 2013

Vector Beta function

Nakayama, Yu

Cited by 0Open access

Abstract

We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta functions, Higgs-like relation among anomalous dimensions and a gradient property. We further conjecture that non-renormalization holds if and only if the vector operator is conserved. The local renormalization group analysis guarantees the first three within power counting renormalization. We verify all the conjectures in conformal perturbation theories and holography in the weakly coupled gravity regime.

Cite this paper

APA 7

Nakayama, Y. (2013). Vector Beta function. arXiv (Cornell University). https://doi.org/10.48550/arxiv.1310.0574

MLA 9

Nakayama, Yu. “Vector Beta function.” arXiv (Cornell University), 2013, https://doi.org/10.48550/arxiv.1310.0574.

Chicago

Nakayama, Yu. 2013. “Vector Beta function.” arXiv (Cornell University). https://doi.org/10.48550/arxiv.1310.0574.

Harvard

Nakayama, Y. (2013) ‘Vector Beta function’, arXiv (Cornell University). Available at: https://doi.org/10.48550/arxiv.1310.0574.

BibTeX

@misc{nakayama2013vector,
  title = {{Vector Beta function}},
  author = {Nakayama, Yu},
  journal = {arXiv (Cornell University)},
  year = {2013},
  doi = {10.48550/arxiv.1310.0574}
}

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