Variational principles for natural divergence-free tensors in metric field theories

Variational Methods for Field Theories

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..*................... 1 GENERAL INTRODUCTION ~.~O................................*............ 3 Part I: Confinement in Periodic Quantum Electrodynamics for Low Couplings

On the Structure of Divergence-Free Tensors

free gauge theories of traceless symmetric tensors

Point particle in general background fields vs. free gauge theories of traceless symmetric tensors Abstract Point particle may interact to traceless symmetric tensors of arbitrary rank. Free gauge theories of traceless symmetric tensors are constructed, that provides a possibility for a new type of interactions, when particles exchange by those gauge fields. The gauge theories are parameterized...

A metric for dynamic routing based on variational principles

In this paper the variation principles from theoretical physics is considered that would describe the process of routing in computer networks. The total traffic which is currently served on all hops of the route has been chosen as the quantity to minimize. Universal metric function has been found for dynamic routing taking into account the packet loss effect. An attempt to derive the metric of ...

Clebsch Variational Principles in Field Theories and Singular Solutions of Covariant Epdiff Equations

This paper introduces and studies a field theoretic analogue of the Clebsch variational principle of classical mechanics. This principle yields an alternative derivation of the covariant Euler-Poincaré equations that naturally includes covariant Clebsch variables via multisymplectic momentum maps. In the case of diffeomorphism groups, this approach gives a new interpretation of recently derived...