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 evidence for its description as the product of two noninteracting systems: a massless free fermion and a massless free boson. However, we find also some surprising results that cannot be explained by our simple picture, suggesting this newly discovered critical point is an unusual one.
Highlights
We identify a line of first order phase transitions separating the Higgs region from the confined one
In contrast to fermions, bosons can have contact interactions that are described by the well-known AbelianHiggs model (AHM) in 1 þ 1D (AHM2) [8–12]
In AHM2, a weak matter-field coupling limit [13] suggests that the phase diagram is shared by two phases characteristic of the Higgs mechanism [8–11]: a superfluid phase 1 with the quasicondensation of bosons (Higgs phase) and a Mottinsulating phase 2 with strong interactions
Summary
Introduction.—Gauge theories in 1 þ 1 dimensions (1D in space and time) are ideal playgrounds to characterize the effects of strong coupling between matter and gauge fields. Phase Diagram of 1 + 1D Abelian-Higgs Model and Its Critical Point
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