We present a general method for solving the QCD evolution equations which govern relativistic multi-quark wavefunctions. In the case of three-quark systems, we generate a light-cone basis of completely antisymmetric wavefunctions. This provides a general covariant classification of baryonic states. We then calculate the spin-orbit mixing generated by the QCD evolution kernel in the basis of com...

This paper is concerned with low multilinear rank approximations to antisymmetric tensors, that is, multivariate arrays for which the entries change sign when permuting pairs of indices. We show which ranks can be attained by an antisymmetric tensor and discuss the adaption of existing approximation algorithms to preserve antisymmetry, most notably a Jacobi algorithm. Particular attention is pa...

We study string theory on orbifolds in the presence of an antisymmetric constant background field and discuss some of new aspects of the theory. It is shown that the term with the antisymmetric field has a topological nature like a Chern-Simons term or a Wess-Zumino term. Due to this property, the theory exhibits various anomalous behavior: Zero mode variables obey nontrivial quantization condi...

We consider the problem −ε∆gu + u = |u|p−2u in a symmetric Riemannian manifold (M, g). We give a multiplicity result for antisymmetric changing sign solutions.