Details
| Original language | English |
|---|---|
| Article number | 361 |
| Journal | Universe |
| Volume | 8 |
| Issue number | 7 |
| Early online date | 29 Jun 2022 |
| Publication status | Published - Jul 2022 |
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 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.
Keywords
- Confinement, Gauge theories, Higgs mechanism, Standard Model
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Universe, Vol. 8, No. 7, 361, 07.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stueckelberg and Higgs Mechanisms
T2 - Frames and Scales
AU - Popov, Alexander D.
N1 - Funding Information: Funding: This work was supported by the Deutsche Forschungsgemeinschaft grant LE 838/19.
PY - 2022/7
Y1 - 2022/7
N2 - 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.
AB - 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.
KW - Confinement
KW - Gauge theories
KW - Higgs mechanism
KW - Standard Model
UR - http://www.scopus.com/inward/record.url?scp=85133557341&partnerID=8YFLogxK
U2 - 10.3390/universe8070361
DO - 10.3390/universe8070361
M3 - Article
AN - SCOPUS:85133557341
VL - 8
JO - Universe
JF - Universe
IS - 7
M1 - 361
ER -