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Renormalized quantum BV operator and observables in gauge theories and gravity

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SRQW02 - Quantum field theory, renormalisation and stochastic partial differential equations

In this talk I will give an overview of the BV quantization, which is a universal framework for constructing models in perturbative QFT (including gauge theories and effective quantum gravity). Using the version of this framework developed by Fredenhagen and myself, one can construct local nets of observable algebras satisfying Haag-Kastler axioms, in the sense of formal power series in h-bar. The crucial role is played by the renormalized quantum BV operator, which is defined abstractly, without the explicit use of the BRST charge.

This talk is part of the Isaac Newton Institute Seminar Series series.

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