| Autor: |
Denis Bernard, André LeClair |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2022, Iss 5, Pp 1-24 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP05(2022)022 |
| Popis: |
Abstract The S-matrix of the well-studied sinh-Gordon model possesses a remarkable strong/weak coupling duality b → 1/b. Since there is no understanding nor evidence for such a duality based on the quantum action of the model, it should be questioned whether the properties of the model for b > 1 are simply obtained by analytic continuation of the weak coupling regime 0 < b < 1. In this article we assert that the answer is no, and we develop a concrete and specific proposal for the properties when b > 1. Namely, we propose that in this region one needs to introduce a background charge Q ∞ = b + 1/b − 2 which differs from the Liouville background charge by the shift of −2. We propose that in this regime the model has non-trivial massless renormalization group flows between two different conformal field theories. This is in contrast to the weak coupling regime which is a theory of a single massive particle. Evidence for our proposal comes from higher order beta functions. We show how our proposal correctly reproduces the freezing transitions in the multi-fractal exponents of a Dirac fermion in 2 + 1 dimensions in a random magnetic field, which provides a strong check since such transitions have several detailed features. We also point out a connection between a semi-classical version of this transition and the so-called Manning condensation phenomena in polyelectrolyte physics. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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