models for strong interactions
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2009 ◽  
Vol 24 (34) ◽  
pp. 2731-2740 ◽  
Author(s):  
V. ALDAYA ◽  
M. CALIXTO ◽  
F. F. LOPEZ-RUIZ

We incorporate the parameters of the gauge group G into the gauge theory of interactions through a nonlinear partial-trace σ-model Lagrangian on G/H. The minimal coupling of the new (Goldstone-like) scalar bosons provides mass terms to those intermediate vector bosons associated with the quotient G/H, without spoiling gauge invariance, while the H-vector potentials remain massless. The main virtue of a partial trace on G/H, rather than on the entire G, is that we can find an infinite-dimensional symmetry, with nontrivial Noether invariants, which ensures quantum integrability in a non-canonical quantization scheme. The present formalism is explicitly applied to the case G = SU(2)× U(1), as a Higgsless alternative to the Standard Model of electroweak interactions, although it can also be used in low-energy phenomenological models for strong interactions.


1976 ◽  
Vol 65 (2) ◽  
pp. 171-173 ◽  
Author(s):  
A.J. McKane ◽  
D.J. Wallace ◽  
R.K.P. Zia

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