# Quantum field theory in terms of consistency conditions I: General framework, and perturbation theory via Hochschild cohomology

@article{Hollands2008QuantumFT, title={Quantum field theory in terms of consistency conditions I: General framework, and perturbation theory via Hochschild cohomology}, author={Stefan Hollands}, journal={arXiv: High Energy Physics - Theory}, year={2008} }

In this paper, we propose a new framework for quantum field theory in terms of consistency conditions. The consistency conditions that we consider are "associativity" or "factorization" conditions on the operator product expansion (OPE) of the theory, and are proposed to be the defining property of any quantum field theory. Our framework is presented in the Euclidean setting, and is applicable in principle to any quantum field theory, including non-conformal ones. In our framework, we obtain a…

## 19 Citations

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