Unified SU(6) gauge theory of the strong, weak, and electromagnetic interactions

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.

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Gauge Theory of Weak and Electromagnetic Interactions

10.1142/0002 ◽

1981 ◽

Cited By ~ 12

Author(s):

C H Lai

Keyword(s):

Gauge Theory ◽

Electromagnetic Interactions

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The World as Quarks, Leptons and Bosons

Australian Journal of Physics ◽

10.1071/ph760473 ◽

1976 ◽

Vol 29 (6) ◽

pp. 347 ◽

Cited By ~ 2

Author(s):

M Gell-Mann

Keyword(s):

Gauge Theory ◽

Gauge Theories ◽

Strong Interactions ◽

Gauge Bosons ◽

Yang Mills ◽

Electromagnetic Interactions ◽

The World

A descriptive review is given of gauge theories of weak, electromagnetic and strong interactions. The strong interactions are interpreted in terms of an unbroken Yang-Mills gauge theory based on SU(3) colour symmetry of quarks and gluons. The confinement mechanism of quarks, gluons and other nonsinglets is discussed. The unification of the weak and electromagnetic interactions through a broken Yang-Mills gauge theory is described. In total the basic constituents are then the quarks, leptons and gauge bosons.

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The unconfined unstable quark (predictions from a unified gauge theory of strong, weak and electromagnetic interactions)

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1977.0109 ◽

1977 ◽

Vol 355 (1683) ◽

pp. 515-538 ◽

Cited By ~ 8

Keyword(s):

Gauge Theory ◽

Kinematic Region ◽

Selection Rules ◽

Electromagnetic Interactions ◽

Production Experiment ◽

Charged Leptons ◽

Chain Decay

Within the context of a unified gauge theory of integer-change quarks and leptons, it is shown that quarks may decay purely leptonically as well as semi-leptonically, with the following selection rules: (1) Yellow and blue quarks decay predominantly into mesons + neutrinos with lifetimes ≈ 10 -11 to 10 -12 s (for m q ≈ 2GeV). (2) Red quark can decay leptonically or into mesons + neutrinos or mesons + charged leptons (e - , μ - ). They are long-lived ( ≈ 10 -8 s) if no coloured gluon states exist with masses lower than red quarks. (3) If such gluons do exist, the lifetime of red quarks may be of the same order as that for yellow and blue quarks. In this event and if m q ≲ 2 GeV, SLAC (μe) events may possibly be interpreted as the chain decay e + + e - → q̅ R + q R → gluon + v ↓ 10 -14 s gluon + v̅ ↓ 10 -14 ↓ μ + v̅ e + v (4) In lepto-production experiment, production of colour is suppressed to a 10-15% level in the present kinematic region, because of the gauge character of coloured gluons. There should be no such suppression in N-N production of colour.

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A Gauge Theory for the Weak and Electromagnetic Interactions

10.1093/oso/9780192844200.003.0019 ◽

2021 ◽

pp. 388-404

Author(s):

J. Iliopoulos ◽

T.N. Tomaras

Keyword(s):

Gauge Theory ◽

Quark Model ◽

Weak Interactions ◽

Mass Matrix ◽

Natural Source ◽

Apparent Difference ◽

Electromagnetic Interactions ◽

Vector Bosons ◽

Gim Mechanism ◽

Intermediate Vector

In this chapter we develop the Glashow–Weinberg–Salam theory of electromagnetic and weak interactions based on the gauge group SU(2) × U(1). We show that the apparent difference in strength between the two interactions is due to the Brout–Englert–Higgs phenomenon which results in heavy intermediate vector bosons. The model is presented first for the leptons, and then we argue that the extension to hadrons requires the introduction of a fourth quark. We show that the GIM mechanism guarantees the natural suppression of strangeness changing neutral currents. In the same spirit, the need to introduce a natural source of CP-violation leads to a six quark model with the Cabibbo–Kobayashi–Maskawa mass matrix.

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