Higgs potential and confinement in Yang-Mills theory on exotic $R^4$ - INSPIRE

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Higgs potential and confinement in Yang-Mills theory on exotic $R^4$

Torsten Asselmeyer-Maluga
(
- DLR, Berlin
)
,
Jerzy Krol
(
- Silesia U.
)

Mar 7, 2013

12 pages

e-Print:

1303.1632 [math-ph]

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Abstract: (arXiv)

We show that pure SU(2) Yang-Mills theory formulated on certain exotic R^4 from the radial family shows confinement. The condensation of magnetic monopoles and the qualitative form of the Higgs potential are derived from the exotic R^4, e. A relation between the Higgs potential and inflation is discussed. Then we obtain a formula for the Higgs mass and discuss a particular smoothness structure so that the Higgs mass agrees with the experimental value. The singularity in the effective dual U(1) potential has its cause by the exotic 4-geometry and agrees with the singularity in the maximal abelian gauge scenario. We will describe the Yang-Mills theory on e in some limit as the abelian-projected effective gauge theory on the standard R^4. Similar results can be derived for SU(3) Yang-Mills theory on an exotic R^4 provided dual diagonal effective gauge bosons propagate in the exotic 4-geometry.

Note:

12 pages

gauge field theory: Yang-Mills
potential: Higgs
Higgs particle: mass
magnetic monopole: condensation
confinement
duality
maximal abelian gauge
gauge boson
inflation
SU(3)

References(24)

Figures(0)

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