Titlebook: Quantum Field Theory and Topology; Albert S. Schwarz Book 1993 Springer-Verlag Berlin Heidelberg 1993 Condensed Matter.Gauge theory.Lie gr

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Gauge Fields, the internal symmetry group of this Lagrangian). It is not invariant under transformations of the form .′(.) = .(.).(.), where . = ... is a function taking values on the unit circle. However, one can consider the Lagrangian of a bispinor field interacting with an electromagnetic field A.(.); this

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Particles Corresponding to Nonquadratic Lagrangians three and higher. In Chapter 2 we showed that if the matrix (..) is nonnegative definite, .. describes particles whose squared masses are the eigenvalues of this matrix. The term .(.) can be taken into account by perturbation techniques; although it does not change the spectrum qualitatively, it ne

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Topological Integrals of Motionin Figure 11. The particle cannot penetrate an infinitely high potential barrier: if it starts to the left of point ., for example, it remains to the left of that point for all time. This is true for both classical and quantum particles.

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Topological Integrals of Motion in Gauge Theoryry of electroweak interaction. We take the Lagrangian ., where . = (..,..., ..) is a multicomponent fermion field, . = (..,..., ..) a multicomponent scalar field, and .. the free Lagrangian describing the interaction of these fields. Assume that (12.1) is invariant under an internal symmetry group .

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Particles in Gauge Theories of a classical vacuum .., having lifted the degeneracy of the classical vacuum by imposing a gauge condition. A natural gauge condition is . where ., as before, is the map taking a point in .. to the nearest point in .. We recall that, in general, . is one-to-one and continuous only in a neighborho

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