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Spontaneous symmetry breaking of affine field theory

✍ Scribed by A. C. Cadavid; R. J. Finkelstein


Publisher
Springer
Year
1989
Tongue
English
Weight
303 KB
Volume
17
Category
Article
ISSN
0377-9017

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✦ Synopsis


It is possible to construct non-Abelian field theories by gauging Kac-Moody algebras. Here we discuss the spontaneous symmetry breaking of such theories via the Higgs mechanism. If the Higgs particle lies in the Cartan subalgebra of the Kac-Moody algebra, the previously massless vectors acquire a mass spectrum that is linear in the Kac-Moody index and has additional fine structure depending on the associated Lie algebra.


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A b s t r a c t . While for quantum field theoretical calculations it is sufficient to know the Lagrangian, we give here the field equations of the unified gauge-theory of weak and electromagnetic interactions after spontaneous symmetry breaking. With this approach, inhomogeneous Lorentz conditions