The Standard Model: Interactions (Bosons)

B. E. Baaquie, Department of Physics, National University of Singapore

All interactions (forces) in nature are mediated by gauge fields. The electromagnetic, weak and nuclear forces are described by quantum fields. A quantum theory of gravity is provided by string theory, which also explains the appearance of gauge fields from deeper principles.

The Forces of Nature

Electromagnetic
Electrons are bound to the nucleus via photons (light) which are the carriers of the electromagnetic interaction. The photon is the expression of the local electromagnetic potential Aµ (x), called a U(1) gauge field & has spin 1. Beta decay
Weak Interaction

The neutron outside the nucleus is unstable and disintegrates after about 15 minutes via the weak force.

n (udd) -> p (uud) + e + Ve

or in terms of quarks, we have the following

d -> u + e + Ve

The weak force is mediated by the combination of three local gauge fields Z0µ, W±µ also called SU (2) gauge fields and maybe a spin 0 Higgs field.

Nuclear or Strong Force
The quarks are bound together inside the nucleus by the nuclear force which is mediated by eight local gluon fields B1µ, B2µ, ... B8µ and taken together form an SU (3) gauge field with spin 1.
Gravity
All forms of energy attract each other via gravity, that is mediated by the graviton which is a spin 2 particle and results from the metric gµv.
Other as yet undiscovered forces ("Fifth force" etc.)

All the Known Interactions

SpinInteractionGauge fieldmass
1ElectromagneticU(1)0
1WeakSU(2) 60-70 GeV
1StrongSU(3)700 MeV
2Gravitygµv0

Summary of the four forces

Picture showing the constituents of matter

Picture showing the different generations

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Last updated: 13 June, 2005


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