On the Geometrical Structure of Covariant Anomalies in Yang-mills Theory
نویسنده
چکیده
Covariant anomalies are studied in terms of the theory of secondary characteristic classes of the universal bundle of Yang-Mills theory. A new set of descent equations is derived which contains the covariant current anomaly and the covariant Schwinger term. The counterterms relating consistent and covariant anomalies are determined. A geometrical realization of the BRS/anti-BRS algebra is presented which is used to understand the relationship between covariant anomalies in different approaches. *)Erwin Schrödinger fellow, supported by ”Fonds zur Förderung der wissenschaftlichen Forschung in Österreich”, project number: J0701-PHY
منابع مشابه
Novel generalization of three-dimensional Yang-Mills theory
A class of new nonabelian gauge theories for vector fields on three manifolds is presented. The theories describe a generalization of three-dimensional YangMills theory featuring a novel nonlinear gauge symmetry and field equations for Lie-algebra valued vector potential fields. The nonlinear form of the gauge symmetry and field equations relies on the vector cross-product and vector curl opera...
متن کاملZero-Modes, Covariant Anomaly Counterparts and Reducible Connections in Topological Yang-Mills Theory
We introduce the covariant forms for the non-Abelian anomaly counterparts in topological Yang-Mills theory, which satisfies the topological descent equation modulo terms that vanish at the space of BRST fixed points. We use the covariant anomalies as a new set of observables, which can absorb both δ W and δ BRS ghost number violations of zeromodes. Then, we study some problems due to the zero-m...
متن کاملA Geometrical Approach to N=2 Super Yang-Mills Theory on the Two Dimensional Lattice
We propose a discretization of two dimensional Euclidean Yang-Mills theories with N = 2 supersymmetry which preserves exactly both gauge invariance and an element of supersymmetry. The approach starts from the twisted form of the continuum super Yang Mills action which we show may be written in terms of two real Kähler-Dirac fields whose components transform into each other under the twisted su...
متن کاملCovariant Quantisation in the Antifield Formalism
In this thesis we give an overview of the antifield formalism and show how it must be used to quantise arbitrary gauge theories. The formalism is further developed and illustrated in several examples, including Yang-Mills theory, chiral W3 and W2,5/2 gravity, strings in curved backgrounds and topological field theories. All these models are characterised by their gauge algebra, which can be ope...
متن کاملHamiltonian approaches of field theory
We extend some results and concepts of single-time covariant Hamiltonian field theory to the new context of multitime covariant Hamiltonian theory. In this sense, we point out the role of the polysymplectic structure δ⊗J, we prove that the dual action is indefinite, we find the eigenvalues and the eigenfunctions of the operator (δ⊗J)(∂/∂t)with periodic boundary conditions, and we obtain interes...
متن کامل