[en] It is shown that generally the consistency equation for anomalies of quantum field theories has solutions which depend nontrivially on the sources of the (generalized) BRS-transformations of the fields. Explicit previously unknown examples of such solutions are given for Yang-Mills and super Yang-Mills theories. (orig.)

[en] In this thesis the author has classified all BRS invariants for QDS theories. The result is that the non-trivial BRS-invariant functions can be attributed to maximally three classes, which differ by the lowest-homogenity-degree terms in the tensor fields and ghosts. He has proved that in two of these classes all these terms are supplementable. The supplementability of the terms of the third class is dependent on the theory, especially on the constraints. This is demonstrated by means of the minimal supergravity and the globally supersymmetric Yang-Mills theory. For both theories all BRS invariants are explicitely constructed, and the solutions of the consistency equation with ghost numbers 0 and 1 are given. The solutions yield in some cases the supersymmetric generalizations of non-Abelian chiral anomalies. (HSI)

[en] For a large class of gauge theories a nilpotent BRS-operator s is constructed and its cohomology in the space of local functionals of the off-shell fields is shown to be isomorphic to the cohomology of s=s+d on functions f(C,T) of tensor fields T and of variables C which are constructed of the ghosts and the connection forms. The result allows general statements about the structure of invariant classical actions and anomaly cadidates whose BRS-variation vanishes off-shell. The assumptions under which the result holds are thoroughly discussed. (orig.)

No abstract available

[en] It is shown that Baecklund transformations (BTs) and zero-curvature representations (ZCRs) of systems of partial differential equations (PDEs) are closely related. The connection is established by nonlinear representations of the symmetry group underlying the ZCR which induce gauge transformations relating different BTs. This connection is used to construct BTs from ZCRs (and vice versa). Furthermore a procedure is outlined which allows a systematic search for ZCRs of a given system of PDEs. (orig.)

[en] In this short note, we verify explicitly in static coordinates that the non trivial asymptotic Killing vectors at spatial infinity for anti-de Sitter space-times correspond one to one to the conformal Killing vectors of the conformally flat metric induced on the boundary. The fall-off conditions for the metric perturbations that guarantee finiteness of the associated conserved charges are derived

[en] The explanations concerning the Aceeptance Tests for Steam Generators DIN 1942 comprise six sections. After an introduction (section 1) with a short historical development of the acceptance rules, mass and energy balance of the steam generator are treated in section 2. Section 3 contains the combustion calculation and the required material data of the flue gases, and section 4 the information on the measuring tolerances, where on the one hand the measuring tolerances of the individual measured and calculated quantities and, on the other, the measuring tolerance of the efficiency are concerned. In section 5, some remarks are made on the problem of translation to the guarantee requirements. The last section is section 6; here on the one hand, cases having not been introduced into the standard DIN 1942 are treated and, on the other, questions are dealt with which are of principal importance for the further development and the understanding of the acceptance rules. (orig.)

[en] We study the Yang-Mills-Chern-Simons theory systematically in an effort to generalize the Coleman-Hill result to the non-Abelian case. We show that, while the Chern-Simons coefficient is in general gauge dependent in a non-Abelian theory, it takes on a physical meaning in the axial gauge. Using the non-Abelian Ward identities as well as the analyticity of the amplitudes in the momentum variables, we show that, in the axial gauge, the Chern-Simons coefficient does not receive any quantum correction beyond one loop. This allows us to deduce that the ratio 4πm/g² is unrenormalized, in a non-Abelian theory, beyond one loop in any infrared safe gauge. This is the appropriate generalization of the Coleman-Hill result to non-Abelian theories. Various other interesting properties of the theory are also discussed

[en] We study the parity-breaking terms generated by the box diagram in (2+1)-dimensional thermal QED. These lead, in the long wave limit, to a gauge invariant extensive action, which behaves as 1/T at high temperature. In contrast, the effective action in the static limit involves leading nonextensive terms proportional to 1/T³ at high temperature, which violate large gauge invariance. We derive a nonlinear large gauge Ward identity, which relates the leading static terms of different order in perturbation theory and whose solution coincides with the all order effective action proposed earlier

[en] We study, to one loop order, the behavior of the gluon self-energy in the noncovariant Coulomb gauge at finite temperature. The cancellation of the peculiar energy divergences, which arise in such a gauge, is explicitly verified in the complete two point function of the Yang-Mills theory. At high temperatures, the leading T² term is determined to be transverse and nonlocal, in agreement with the results obtained in covariant gauges. The coefficient of the sub-leading ln(T) contribution is nontransverse but local and coincides (up to a multiplicative constant) with that of the ultraviolet pole term of the zero temperature amplitude