Master functional and proper formalism for quantum gauge field theory

@article{Anselmi2012MasterFA,
  title={Master functional and proper formalism for quantum gauge field theory},
  author={Damiano Anselmi},
  journal={The European Physical Journal C},
  year={2012},
  volume={73},
  pages={1-18}
}
  • D. Anselmi
  • Published 17 May 2012
  • Mathematics, Physics
  • The European Physical Journal C
We develop a general field-covariant approach to quantum gauge theories. Extending the usual set of integrated fields and external sources to “proper” fields and sources, which include partners of the composite fields, we define the master functional Ω, which collects one-particle irreducible diagrams and upgrades the usual Γ-functional in several respects. The functional Ω is determined from its classical limit applying the usual diagrammatic rules to the proper fields. Moreover, it behaves as… Expand
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References

SHOWING 1-10 OF 16 REFERENCES
A master functional for quantum field theory
We study a new generating functional of one-particle irreducible diagrams in quantum field theory, called master functional, which is invariant under the most general perturbative changes of fieldExpand
A general field-covariant formulation of quantum field theory
In all nontrivial cases renormalization, as it is usually formulated, is not a change of integration variables in the functional integral, plus parameter redefinitions, but a set of replacements, ofExpand
Two-loop quantum gravity
Abstract We prove the existence of a nonrenormalizable infinity in the two-loop effective action of perturbative quantum gravity by means of an explicit calculation. Our final result agrees with thatExpand
Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory
Yang-Mills models with compact gauge group coupled to matter fields are considered. The general tools developed in a companion paper are applied to compute the local cohomology of the BRSTExpand
Local BRST cohomology in the antifield formalism: I. General theorems
We establish general theorems on the cohomologyH*(s/d) of the BRST differential modulo the spacetime exterior derivative, acting in the algebra of localp-forms depending on the fields and theExpand
General solution of the Wess-Zumino consistency condition for Einstein gravity.
The Wess-Zumino consistency condition for four-dimensional Einstein gravity is investigated in the space of local forms involving the fields, the ghosts, the antifields, and their derivatives. ItsExpand
Gauge Algebra and Quantization
In the past people believed that if a field action is invariant under some transformations, then these transformations form a Lie group (infinite-dimensional in the case of gauge transformations).Expand
The ultraviolet behavior of Einstein gravity
We have recently reported on a two-loop calculation showing that the S matrix of Einstein's theory of gravity contains non-renormalizable ultraviolet divergences in four dimensions. In this paper weExpand
One loop divergencies in the theory of gravitation
All one-loop divergencies of pure gravity and all those of gravitation interacting with a scalar particle are calculated. In the case of pure gravity, no physically relevant divergencies remain;Expand
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