Dr Mohamed Anber mohamed.anber@durham.ac.uk
Associate Professor
We consider the most general fractional background fluxes in the color, flavor, and baryon number directions, compatible with the faithful action of the global symmetry of a given theory. We call the obstruction to gauging symmetries revealed by such backgrounds the baryon-color-flavor (BCF) ’t Hooft anomaly. We apply the BCF anomaly to vector- like theories, with fermions in higher-dimensional representations of arbitrary N-ality, and derive non-trivial constraints on their IR dynamics. In particular, this class of theories enjoys an independent discrete chiral symmetry and one may ask about the fate of this symmetry in the background of BCF fluxes. We show that, under certain conditions, an anomaly between the chiral symmetry and the BCF background rules out massless composite fermions as the sole player in the IR: either the composites do not form or additional contributions to the matching of the BCF anomaly are required. We can also give a flavor-symmetric mass to the fermions, smaller than or of order the strong scale of the theory, and examine the θ-angle periodicity of the theory in the BCF background. Interestingly, we find that the conditions that rule out the composites are the exact same conditions that lead to an anomaly of the θ periodicity: the massive theory will experience a phase transition as we vary θ from 0 to 2π.
Anber, M. M., & Poppitz, E. (2019). On the baryon-color-flavor (BCF) anomaly in vector-like theories. Journal of High Energy Physics, 2019(11), Article 063. https://doi.org/10.1007/jhep11%282019%29063
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 28, 2019 |
Online Publication Date | Nov 11, 2019 |
Publication Date | 2019 |
Deposit Date | Oct 3, 2021 |
Publicly Available Date | Oct 4, 2021 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2019 |
Issue | 11 |
Article Number | 063 |
DOI | https://doi.org/10.1007/jhep11%282019%29063 |
Published Journal Article
(289 Kb)
PDF
Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/
Copyright Statement
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
Noninvertible symmetries and anomalies from gauging 1-form electric centers
(2024)
Journal Article
Remarks on QCD 4 with fundamental and adjoint matter
(2023)
Journal Article
2-index chiral gauge theories
(2023)
Journal Article
Multi-fractional instantons in SU( N ) Yang-Mills theory on the twisted T 4
(2023)
Journal Article
Noninvertible anomalies in SU( N ) × U(1) gauge theories
(2023)
Journal Article
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
Apache License Version 2.0 (http://www.apache.org/licenses/)
Apache License Version 2.0 (http://www.apache.org/licenses/)
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search