Ghost Equations and Diffeomorphism Invariant Theories
نویسنده
چکیده
Four-dimensional Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the same type as found in the topological theories for Yang-Mills fields. A peculiar feature of the gravitationel theory, characterized by diffeomorphism invariance, is a direct link of vector supersymmetry with the field equation of motion for the Faddeev-Popov ghost of diffeomorphisms.
منابع مشابه
Generalized Einstein's Equations from Wald Entropy
Abstract: We derive the gravitational equations of motion of general theories of gravity from thermodynamics applied to a local Rindler horizon through any point in spacetime. Specifically, for a given theory of gravity, we substitute the corresponding Wald entropy into the Clausius relation. Our approach works for all diffeomorphism-invariant theories of gravity in which the Lagrangian is a po...
متن کاملBosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in 4-Theory
Related Articles Global existence for small initial data in the Born–Infeld equations J. Math. Phys. 44, 6132 (2003) Classical four-vector fields in the relativistic longitudinal gauge J. Math. Phys. 41, 4622 (2000) Transfer matrices for scalar fields on curved spaces J. Math. Phys. 40, 1400 (1999) Diffeomorphism invariant integrable field theories and hypersurface motions in Riemannian manifol...
متن کاملKnot Invariants from Classical Field Theories
We consider the Non-Abelian Chern-Simons term coupled to external particles, in a gauge and diffeomorphism invariant form. The classical equations of motion are perturbativelly studied, and the on-shell action is shown to produce knot-invariants associated with the sources. The first contributions are explicitely calculated, and the corresponding knot-invariants are recognized. We conclude that...
متن کاملGhost condensates in Yang - Mills theories in nonlinear gauges
The existence of ghost condensates of dimension two in a class of nonlinear gauges is discussed in pure Yang-Mills theories. These condensates are related to the dynamical symmetry breaking of the ghost number, giving rise to a vacuum configuration which leaves invariant the maximal Abelian subgroup.
متن کاملQuantization of Diffeomorphism-Invariant Theories with Fermions
We extend ideas developed for the loop representation of quantum gravity to diffeomorphism-invariant gauge theories coupled to fermions. Let P → Σ be a principal G-bundle over space and let F be a vector bundle associated to P whose fiber is a sum of continuous unitary irreducible representations of the compact connected gauge group G, each representation appearing together with its dual. We co...
متن کامل