Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (2)

Search Parameters:
Keywords = the Yang-Mills running coupling

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
18 pages, 379 KiB  
Article
Stueckelberg and Higgs Mechanisms: Frames and Scales
by Alexander D. Popov
Universe 2022, 8(7), 361; https://doi.org/10.3390/universe8070361 - 29 Jun 2022
Cited by 3 | Viewed by 2141
Abstract
We consider Yang–Mills theory with a compact gauge group G on Minkowski space R3,1 and compare the introduction of masses of gauge bosons using the Stueckelberg and Higgs mechanisms. The Stueckelberg field ϕ is identified with a G-frame on [...] Read more.
We consider Yang–Mills theory with a compact gauge group G on Minkowski space R3,1 and compare the introduction of masses of gauge bosons using the Stueckelberg and Higgs mechanisms. The Stueckelberg field ϕ is identified with a G-frame on the gauge vector bundle E and the kinetic term for ϕ leads to the mass of the gauge bosons. The Stueckelberg mechanism is extended to the Higgs mechanism by adding to the game a scalar field describing rescaling of metric on fibres of E. Thus, we associate Higgs fields as well as running coupling parameters with conformal geometry on fibres of gauge bundles. In particular, a running coupling tending to zero or to infinity is equivalent to an unbounded expansion of G-fibres or its contraction to a point. We also discuss scale connection, space-time dependent Higgs vacua and compactly supported gauge and quark fields as an attribute of confinement. Full article
55 pages, 541 KiB  
Review
World-Line Formalism: Non-Perturbative Applications
by Dmitry Antonov
Universe 2016, 2(4), 28; https://doi.org/10.3390/universe2040028 - 28 Nov 2016
Cited by 4 | Viewed by 5334
Abstract
This review addresses the impact on various physical observables which is produced by confinement of virtual quarks and gluons at the level of the one-loop QCD diagrams. These observables include the quark condensate for various heavy flavors, the Yang-Mills running coupling with an [...] Read more.
This review addresses the impact on various physical observables which is produced by confinement of virtual quarks and gluons at the level of the one-loop QCD diagrams. These observables include the quark condensate for various heavy flavors, the Yang-Mills running coupling with an infra-red stable fixed point, and the correlation lengths of the stochastic Yang-Mills fields. Other non-perturbative applications of the world-line formalism presented in the review are devoted to the determination of the electroweak phase-transition critical temperature, to the derivation of a semi-classical analogue of the relation between the chiral and the gluon QCD condensates, and to the calculation of the free energy of the gluon plasma in the high-temperature limit. As a complementary result, we demonstrate Casimir scaling of k-string tensions in the Gaussian ensemble of the stochastic Yang-Mills fields. Full article
Show Figures

Figure 1

Back to TopTop