Regensburg 2022 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 24: Quantum-Critical Phenomena
TT 24.9: Vortrag
Mittwoch, 7. September 2022, 17:15–17:30, H23
Bosonization duality in 2+1 dimensions and critical current correlation functions in Chern-Simons U(1)*U(1) Abelian Higgs model — •Vira Shyta1, Flavio Nogueira1, and Jeroen van den Brink1,2 — 1Institute for Theoretical Solid State Physics, IFW Dresden, Helmholtzstr. 20, 01069 Dresden, Germany — 2Institute for Theoretical Physics and Würzburg-Dresden Cluster of Excellence ct.qmat, TU Dresden, 01069 Dresden, Germany
While the phase structure of the U(1)*U(1)-symmetric Higgs theory is still under debate, we have shown that a version of this theory with an additional Chern-Simons term undergoes a second-order phase transition. We established that such a theory is a bosonized dual of a topological field theory of massless fermions featuring two gauge fields. Here we elaborate on several aspects of this duality, focusing on the critical current correlators and on the nature of the critical point as reflected by the bosonization duality. The current correlators associated to the U(1)*U(1) symmetry and the topological current are shown to coincide up to a universal prefactor, which we find to be the same for both U(1) and U(1)*U(1) topological Higgs theories. The established duality offers in addition another way to substantiate the claim about the existence of a critical point in the bosonic Chern-Simons U(1)*U(1) Higgs model: a Schwinger-Dyson analysis of the fermionic dual model shows that no dynamical mass generation occurs. The same cannot be said for the theory without the Chern-Simons term in the action.