Infrared physics of the 3D SU(2) adjoint Higgs model at the crossover transition
arXiv:2206.14487 · doi:10.1007/JHEP02(2023)212
Abstract
We study the crossover phase transition of the SU(2) Georgi-Glashow model in three dimensions. In this model, a confining condensate of topological 't Hooft-Polyakov monopoles exists in the Higgs regime. We use lattice Monte Carlo simulations to study the monopole gas across a crossover transition, and demonstrate that gradient flow can be used to renormalize the otherwise divergent monopole number density. The condensation of the monopoles means that the theory admits also a massive photon-like excitation. We show that the renormalized monopole number density is approximately proportional to the square of the photon mass, in agreement with semiclassical results. Our results give insight into behaviour of the Higgs regime near crossover, which has boarder implications for beyond the Standard Model theories containing adjoint scalar fields.
arXiv comment16 pages, 6 figures
References in corpus (21)
- Properties and uses of the Wilson flow in lattice QCD
- The Electroweak Phase Transition: A Non-Perturbative Analysis
- Holography for Cosmology
- 3d SU(N) + adjoint Higgs theory and finite temperature QCD
- Measuring the Broken Phase Sphaleron Rate Nonperturbatively
- Stepping Into Electroweak Symmetry Breaking: Phase Transitions and Higgs Phenomenology
- Thermodynamics of a two-step electroweak phase transition
- Exact relation of lattice and continuum parameters in three-dimensional SU(2)+Higgs theories
- Lattice-continuum relations for 3d SU(N)+Higgs theories
- On the Phase Diagram of the SU(2) Adjoint Higgs Model in 2+1 Dimensions
- O(a) errors in 3-D SU(N) Higgs theories
- Improved Smoothing Algorithms for Lattice Gauge Theory
- Vortex tension as an order parameter in three-dimensional U(1)+Higgs theory
- Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole
- Mass of a quantum 't Hooft-Polyakov monopole
- The monopole mass in the three-dimensional Georgi-Glashow model
- Topological defects in lattice gauge theories
- Full O(a) improvement in EQCD
- Infrared physics of the 3D SU(2) adjoint Higgs model at the crossover transition
- A composite massless vector boson
- 't Hooft-Polyakov monopoles in lattice SU(N)+adjoint Higgs theory