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This research extends the concept of duality transformations from discrete quantum circuits to continuum field theories, offering new analytical tools for understanding T-duality and bosonization in particle physics. By framing these complex equivalences as gauging and disentangling procedures, the work bridges condensed matter techniques with fundamental high-energy physics regimes. The primary focus remains on advancing theoretical frameworks within quantum many-body systems rather than developing commercial AI products or addressing near-term engineering challenges.
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T-duality and bosonization as examples of continuum gauging and disentangling

arXiv2 min read

arXiv:2509.24630v2 Announce Type: replace-cross Abstract: Dualities and duality transformations form a well established methodology in various aspects of quantum many body physics and quantum field theories, allowing one to exploit equivalence between models which may naively seem completely different in order to gain access to further physical regimes, either analytically, numerically or experimentally. Recently, in the context of condensed matter physics and quantum information, it was shown that dualities can be understood very well through a gauging and disentangling procedure that can be represented by a finite depth quantum circuit. In this letter we expand these concepts to the continuum, suggesting them as a way to derive duality transformations in continuum field theories and particle physics, and benchmark the presented ideas through the re-derivation of T-duality and bosonization.

Abstract:Dualities and duality transformations form a well established methodology in various aspects of quantum many body physics and quantum field theories, allowing one to exploit equivalence between models which may naively seem completely different in order to gain access to further physical regimes, either analytically, numerically or experimentally. Recently, in the context of condensed matter physics and quantum information, it was shown that dualities can be understood very well through a gauging and disentangling procedure that can be represented by a finite depth quantum circuit. In this letter we expand these concepts to the continuum, suggesting them as a way to derive duality transformations in continuum field theories and particle physics, and benchmark the presented ideas through the re-derivation of T-duality and bosonization.

arXiv:2509.24630 [hep-th]

(or arXiv:2509.24630v2 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2509.24630 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 212 words

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