# Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory

@article{Maas2013TwoAT, title={Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory}, author={Axel Maas and Tajdar Mufti}, journal={Journal of High Energy Physics}, year={2013}, volume={2014}, pages={1-45} }

A bstractYang-Mills-Higgs theory offers a rich set of physics. In particular, in some region of its parameter space it has QCD-like behavior, while in some other range it is Higgs-like. Furthermore, for the choice of the gauge group SU(2) and an SU(2) Higgs flavor symmetry it is the Higgs sector of the standard model. Therefore, it is possible to study a plethora of phenomena within a single theory. Here the standard-model version is studied using lattice gauge theory. Choosing non-aligned…

## 44 Citations

Non-perturbative aspects of Yang-Mills-Higgs theory

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We consider the unitary Abelian Higgs model and investigate its spectral functions at one-loop order. This analysis allows to disentangle what is physical and what is not at the level of the…

## References

SHOWING 1-10 OF 133 REFERENCES

Semiclassical analysis of the phases of 4d SU(2) Higgs gauge systems with cutoff at the Gribov horizon

- Physics
- 2013

We present an analytical study of continuum 4d SU(2) gauge-Higgs models with a single Higgs field with fixed length in either the fundamental or adjoint representation. We aim at analytically probing…

Accessing directly the properties of fundamental scalars in the confinement and Higgs phase

- Physics
- 2011

The properties of elementary particles are encoded in their respective propagators and interaction vertices. For a SU(2) gauge theory coupled to a doublet of fundamental complex scalars these…

Phase diagrams of lattice gauge theories with Higgs fields

- Physics
- 1979

We study the phase diagram of lattice gauge theories coupled to fixed-length scalar (Higgs) fields. We consider several gauge groups: Z/sub 2/, U(1), and SU(N). We find that when the Higgs fields…

An asymptotic safety scenario for gauged chiral Higgs–Yukawa models

- Physics
- 2013

We investigate chiral Higgs–Yukawa models with a non-abelian gauged left-handed sector reminiscent to a sub-sector of the standard model. We discover a new weak-coupling fixed-point behavior that…

More on Gribov copies and propagators in Landau-gauge Yang-Mills theory

- Physics
- 2009

Fixing a gauge in the nonperturbative domain of Yang-Mills theory is a nontrivial problem due to the presence of Gribov copies. In particular, there are different gauges in the nonperturbative regime…

Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: continuum results

- Physics
- 2012

A bstractWe investigate the Dyson-Schwinger equations for the gluon and ghost propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two dimensions. While this simplifies some aspects…

Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory

- Physics
- 2006

Green’s functions are a central element in the attempt to understand non-perturbative phenomena in Yang-Mills theory. Besides the propagators, 3-point Green’s functions play a significant role, since…