Phase diagram of 1+1D Abelian-Higgs model and its critical point

• URL: http://arxiv.org/abs/2107.11656v4
• Date: Sun, 13 Feb 2022 09:33:47 GMT
• Title: Phase diagram of 1+1D Abelian-Higgs model and its critical point
• Authors: Titas Chanda, Maciej Lewenstein, Jakub Zakrzewski, Luca Tagliacozzo
• Abstract summary: We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidences for its description as the product of two non-interacting systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidences for its description as the product of two non-interacting systems, a massless free fermion and a massless free boson. However, we find also some surprizing results that cannot be explained by our simple picture, suggesting this newly discovered critical point to be an unusual one.

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