Regular Article - Theoretical Physics
Renormalization of gauge theories without cohomology
Dipartimento di Fisica “Enrico Fermi”, Università di Pisa, and INFN, Sezione di Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy
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Published online: 31 July 2013
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013