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Download fileAsymptotic Freedom in Noninteger Dimensional Spaces
This paper shows that as the dimensionality of a noninteger dimensional falls below 2, the potential becomes constant irrespective of separation between objects and the force between them disappears, which represents a new paradigm of asymptotic freedom. Since asymptotic freedom is at the basis of many applications such as those of strange metals, unconventional superconductors, and fractional quantum Hall states, the new paradigm presented here can potentially have new and unexpected applications. It also is of relevance to the study of anomalous mechanical effects that are important in metamaterials.
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Email Address of Submitting Author
subhash.kak@okstate.eduORCID of Submitting Author
https://orcid.org/0000-0001-5426-9759Submitting Author's Institution
Oklahoma State UniversitySubmitting Author's Country
- United States of America