Lattice Abelian-Higgs model with noncompact gauge fields

@article{Bonati2021LatticeAM,
  title={Lattice Abelian-Higgs model with noncompact gauge fields},
  author={Claudio Bonati and Andrea Pelissetto and Ettore Vicari},
  journal={Physical Review B},
  year={2021}
}
We consider a noncompact lattice formulation of the three-dimensional electrodynamics with $N$-component complex scalar fields, i.e., the lattice Abelian-Higgs model with noncompact gauge fields. For any $N\ensuremath{\ge}2$, the phase diagram shows three phases differing for the behavior of the scalar-field and gauge-field correlations: The Coulomb phase (short-ranged scalar and long-ranged gauge correlations), the Higgs phase (condensed scalar-field and gapped gauge correlations), and the… 

2 0 A pr 2 02 1 Breaking of the gauge symmetry in lattice gauge theories

We study perturbations that break gauge symmetries in lattice gauge theories. As a paradigmatic model, we consider the three-dimensional Abelian-Higgs (AH) model with an N-component scalar field and

Exploring $SU(N)$ adjoint correlators in $3d$

We use numerical bootstrap techniques to study correlation functions of scalars transforming in the adjoint representation of SU(N) in three dimensions. We obtain upper bounds on operator dimensions

A roadmap for bootstrapping gauge theories: decoupling operators of conformal field theories in d > 2 dimensions

We propose a roadmap for bootstrapping conformal field theories (CFTs) described by gauge theories in dimensions d > 2. In particular, we provide a simple and workable answer to the question of how

Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory

We investigate under which conditions the three-dimensional (3D) multicomponent Abelian-Higgs (AH) field theory (scalar electrodynamics) is the continuum limit of statistical lattice gauge models,

Phase diagram and Higgs phases of three-dimensional lattice SU(N_{c}) gauge theories with multiparameter scalar potentials.

We consider three-dimensional lattice SU(N_{c}) gauge theories with degenerate multicomponent (N_{f}>1) complex scalar fields that transform under the fundamental representation of the gauge

Breaking of Gauge Symmetry in Lattice Gauge Theories.

TLDR
This work considers gauge-symmetry breaking perturbations that are quadratic in the gauge field, such as a photon mass term, and determines their effect on the critical behavior of the gauge-invariant model, focusing mainly on the continuous transitions associated with the charged fixed point of the AH field theory.

Higher-charge three-dimensional compact lattice Abelian-Higgs models.

TLDR
It is argued that the phase diagram of higher-charge models presents three different phases, related to the condensation of gauge-invariant bilinear scalar fields breaking the global SU(N) symmetry, and to the confinement and deconfinement of external charge-one particles.

Scalar gauge-Higgs models with discrete Abelian symmetry groups.

We investigate the phase diagram and the nature of the phase transitions of three-dimensional lattice gauge-Higgs models obtained by gauging the Z_{N} subgroup of the global Z_{q} invariance group of

Bosonization duality in 2+1 dimensions and critical current correlation functions in Chern-Simons $U(1)\times U(1)$ Abelian Higgs model

While the phase structure of the U (1) × U (1)-symmetric Higgs theory is still under debate, a version of this theory with an additional Chern-Simons term was recently shown to undergo a second-order

Breaking the gauge symmetry in lattice gauge-invariant models

We consider the role that gauge symmetry breaking terms play on the continuum limit of gauge theories in three dimensions. As a paradigmatic example we consider scalar electrodynamics in which N f

References

SHOWING 1-10 OF 127 REFERENCES

Phase Diagram, Symmetry Breaking, and Critical Behavior of Three-Dimensional Lattice Multiflavor Scalar Chromodynamics.

TLDR
A paradigmatic model for the Higgs mechanism, lattice scalar chromodynamics with N_{f} flavors, characterized by a non-Abelian SU(N_{c}) gauge symmetry is considered, and the LGW approach turns out to provide the correct picture of the critical behavior at the transitions between the two phases.

Multicomponent compact Abelian-Higgs lattice models.

TLDR
For any finite positive value of the gauge coupling, the phase diagram and critical behavior of three-dimensional multicomponent Abelian-Higgs models are investigated, and a continuous transition in the Heisenberg universality class for N =2 and a first-order transition for N=4 is predicted.

Berry phases, current lattices, and suppression of phase transitions in a lattice gauge theory of quantum antiferromagnets

We consider a lattice model of two complex scalar matter fields $z_{a}, a=1,2$ under a CP1 constraint $\abs{z_1}^2+\abs{z_2}^2=1$, minimally coupled to a compact gauge field, with an additional Berry

Comparative study of Higgs transition in one-component and two-component lattice superconductor models

Using Monte Carlo simulations, we study a Higgs transition in several three-dimensional lattice realizations of the noncompact CP$^1$ model (NCCP$^1$), a gauge theory with two complex matter fields

CP 1 +U (1) lattice gauge theory in three dimensions: Phase structure, spins, gauge bosons, and instantons

In this paper we study a 3D lattice spin model of CP$^1$ Schwinger-bosons coupled with dynamical compact U(1) gauge bosons. The model contains two parameters; the gauge coupling and the hopping

Abelian Higgs model at four loops, fixed-point collision, and deconfined criticality

The abelian Higgs model is the textbook example for the superconducting transition and the Anderson-Higgs mechanism, and has become pivotal in the description of deconfined quantum criticality. We

Effective field theory for Sp(N) antiferromagnets and their phase structure

In this paper, we study quantum Sp($N$) antiferromagnetic (AF) Heisenberg models by using the Schwinger-boson representation and the path-integral methods. We consider both the two-dimensional (2D)

Quantum field theory in the large N limit: a review

Three-dimensional lattice multiflavor scalar chromodynamics: Interplay between global and gauge symmetries

We study the nature of the finite-temperature transition of the three-dimensional scalar chromodynamics with N_f flavors. These models are constructed by considering maximally O(M)-symmetric

Renormalization group flows of the N-component Abelian Higgs model

Flows of the couplings of a theory of an N-component (complex) scalar field coupled to electrodynamics is investigated using the functional renormalization group formalism in d dimensions in
...