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Anomalous Continuous Translations
by Nathan Seiberg
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Submission summary
| Authors (as registered SciPost users): | Nathan Seiberg |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2412.14434v3 (pdf) |
| Date accepted: | July 21, 2025 |
| Date submitted: | July 15, 2025, 3:59 a.m. |
| Submitted by: | Nathan Seiberg |
| Submitted to: | SciPost Physics |
| for consideration in Collection: |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We discuss a large class of non-relativistic continuum field theories where the Euclidean spatial symmetry of the classical theory is violated in the quantum theory by an Adler-Bell-Jackiw-like anomaly. In particular, the continuous translation symmetry of the classical theory is broken in the quantum theory to a discrete symmetry. Furthermore, that discrete symmetry is extended by an internal symmetry, making it non-Abelian. This presentation streamlines and extends the discussion in [1]. In an Appendix, we present an elementary introduction to 't Hooft and Adler-Bell-Jackiw anomalies using a well-known system.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
I thank the two referees for their comments. I have fixed the typos that were pointed out to me.
List of changes
I fixed the typos pointed out by the referee.
Published as SciPost Phys. 19, 031 (2025)