Spectral properties of critical 1+1D Abelian-Higgs model

2023/04/03 by Titas Chanda, Marcello Dalmonte, Maciej Lewenstein +2 · 1 voice
Physics and Astronomy · #hep-th #cond-mat.stat-mech #cond-mat.str-el #hep-lat #quant-ph

paper · pdf · doi:10.1103/physrevb.109.045103

arxiv published 2023/04/03 · arxiv updated 2023/12/08

Abstract

The presence of gauge symmetry in 1+1D is known to be redundant, since it does not imply the existence of dynamical gauge bosons. As a consequence, in the continuum, the Abelian-Higgs model, the theory of bosonic matter interacting with photons, just possesses a single phase, as the higher dimensional Higgs and Coulomb phases are connected via non-perturbative effects. However, recent research published in [Phys. Rev. Lett. 128, 090601 (2022)] has revealed an unexpected phase transition when the system is discretized on the lattice. This transition is described by a conformal field theory with a central charge of c=3/2. In this paper, we aim to characterize the two components of this c=3/2 theory -- namely the free Majorana fermionic and bosonic parts -- through equilibrium and out-of-equilibrium spectral analyses.

Discussions

• The spectrum in the Abelian Higgs model, at the critical point gets partially masked by gauge symmetry, some results here https://arxiv.org/abs/2304.01030 collab of @queen_of_fog @iff_csic T. Chan [bsky, 0 points, 1 comments]

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