Types of quantum field thories
The Higgs field or Higgs boson is a scalar physical field/fundamental particle in a gauge theory such as the standard model of particle physics supposedly responsible for the spontaneously broken symmetry of the electroweak field and for giving elementary particles their masses by the Higgs mechanism.
There is no lack of proposals for realizing the Higgs field in various big schemes of mathematical structures modelling physics.
in string theory (see string phenomenology) a Higgs can arise in all sorts of ways. Notably in “intersecting brane models” it arises from strings localized at intersecting points (for a typical kind of survey see for instance around slide 33 here)
in noncommutative geometry it has been shown that the Higgs may be modeled as a component of the gauge bosons assuming that the KK-reduction is over a certain non-commutative space of classical dimension 0.
|gravity||electroweak and strong nuclear force||fermionic matter||scalar field|
|field content:||vielbein field||principal connection||spinor||scalar field|
|Lagrangian:||scalar curvature density||field strength squared||Dirac operator component density||field strength squared + potential density|
The general theory of spontaneous symmetry breaking is discussed in