In [1-5] it was shown that a nonlinear sigma model for a field with an SO(5)
gauge symmetry can describe the physics of both the AF and SC phases.
For instance, it is possible to obtain the
gauge symmetry, the counting of the physical degrees of freedom, and the identification of the quantum brackets, the so-called Dirac brackets.
He seeks to explain in simple terms the nuts and bolts of the spontaneously broken
gauge symmetry, what the Higgs particle is exactly, and how it helps provide a mathematical technique that can be viewed as giving mass to particles that were massless to start with.
The implementation of the pure spinor constraint is as an Abelian
gauge symmetry, where the generators ([lambda][[gamma].sup.a][lambda]) act multiplicatively.
Rather more serious, I think, is the somewhat surprising omission of relationship between PSR and symmetry principles in physics, such as Curie's principle, symmetry breaking,
gauge symmetry and so on.
Their results and discussion indicate that repeatable results are obtained only when the locale of the experiment is completely conditioned, that is, coupled with a higher
gauge symmetry such as SU(2).
However, it is not clear that Auyang's exposition of local
gauge symmetry really deals with that problem at all.
Valle, "R-parity as a residual
gauge symmetry: probing a theory of cosmological dark matter," Physics Letters B, vol.
The unbroken
gauge symmetry at the string level is SO(10) x U[(1).sub.[zeta]], but the spectrum is self-dual under the exchange of the total number of spinorial 16 [direct sum] [bar.16] and vectorial 10 representations.