ar X iv : h ep - t h / 96 05 09 3 v 1 1 4 M ay 1 99 6 The phase free , longitudinal , magnetic component of vacuum electromagnetism

ar X iv : h ep - p h / 96 05 28 2 v 1 1 1 M ay 1 99 6 TWO TOPICS IN PARTICLE - ANTIPARTICLE MIXING

ar X iv : h ep - t h / 98 05 09 3 v 1 1 5 M ay 1 99 8 A Course on : “ Modular Localization and Nonperturbative Local Quantum Physics ”

ar X iv : h ep - t h / 96 05 08 6 v 1 1 3 M ay 1 99 6 Curvature expansion for the background – induced gluodynamics string

Using cumulant expansion for an averaged Wilson loop we derive an action of the gluodynamics string in the form of a series in powers of the correlation length of the vacuum. In the lowest orders it contains the Nambu–Goto term and the rigidity term with the coupling constants computed from the bilocal correlator of gluonic fields. Some higher derivative corrections are calculated.

ar X iv : h ep - t h / 99 05 11 3 v 1 1 5 M ay 1 99 9 Soliton vacuum energies and the CP ( 1 ) model

The quantum properties of solitons at one loop can be related to phase shifts of waves on the soliton background. These can be combined with heat kernel methods to calculate various parameters. The vacuum energy of a CP (1) soliton in 2 + 1 dimensions is calculated as an example. Pacs numbers: 11.10.Lm Typeset using REVTEX 1

ar X iv : h ep - t h / 93 05 10 4 v 1 2 1 M ay 1 99 3 The role of mathematics in contemporary theoretical physics ∗