Finite-Dimensional Lorentz Covariant Bifurcations
نویسنده
چکیده
In this paper finite-dimensional Lorentz covariant bifurcation equations are constructed and their properties, solutions, and gradient structures are examined. The possible applications of these ideas and techniques to elementary particle physics are considered.
منابع مشابه
The Lorentz Group , Relativistic Particles , and Quantum Mechanics 1
In these notes, I discuss the relation of relativistic invariance to quantum mechanics. First, I discuss the rotation group and its representations. Then I outline the structure of Lorentz group and build up the finite dimensional representations of the Lorentz Group. Finally, I add the space and time translations to get the Poincaré group. This allows us to find how to treat the spin of partic...
متن کاملLorentz covariance , higher - spin superspaces and self - duality 1
Lorentz covariant generalisations of the notions of supersymmetry, superspace and selfduality are discussed. The essential idea is to extend standard constructions by allowing tangent vectors and coordinates which transform according to more general Lorentz representations than solely the spinorial and vectorial ones of standard lore. Such superspaces provide model configuration spaces for theo...
متن کاملFiniteness and unitarity of Lorentz covariant Green-Schwarz superstring amplitudes
In two recent papers, a new method was developed for calculating ten-dimensional superstring amplitudes with an arbitrary number of loops and external massless particles, and for expressing them in manifestly Lorentz-invariant form. By explicitly checking for divergences when the Riemann surface degenerates, these amplitudes are proven to be finite. By choosing light-cone moduli for the surface...
متن کاملLorentz - covariant deformed algebra with minimal length
The D-dimensional two-parameter deformed algebra with minimal length introduced by Kempf is generalized to a Lorentz-covariant algebra describing a (D + 1)dimensional quantized space-time. For D = 3, it includes Snyder algebra as a special case. The deformed Poincaré transformations leaving the algebra invariant are identified. Uncertainty relations are studied. In the case of D = 1 and one non...
متن کاملζ-function calculation of the Weyl determinant for two-dimensional non-abelian gauge theories in a curved background and its W-Z-W terms
Using a cohomological characterization of the consistent and the covariant Lorentz and gauge anomalies, derived from the complexification of the relevant algebras, we study in d = 2 the definition of the Weyl determinant for a non-abelian theory with Riemannian background. We obtain two second order operators that produce, by means of ζ-function regularization, respectively the consistent and t...
متن کامل