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arXiv · 1301.7577

Renormalization of gauge theories without cohomology

Damiano Anselmi
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Abstract

We investigate the renormalization of gauge theories without assuming cohomological properties. We define a renormalization algorithm that preserves the Batalin-Vilkovisky master equation at each step and automatically extends the classical action till it contains sufficiently many independent parameters to reabsorb all divergences into parameter-redefinitions and canonical transformations. The construction is then generalized to the master functional and the field-covariant proper formalism for gauge theories. Our results hold in all manifestly anomaly-free gauge theories, power-counting renormalizable or not. The extension algorithm allows us to solve a quadratic problem, such as finding a sufficiently general solution of the master equation, even when it is not possible to reduce it to a linear (cohomological) problem.

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Damiano Anselmi. 2013-07-31. Renormalization of gauge theories without cohomology. https://doi.org/10.1140/epjc%2Fs10052-013-2508-5

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