The BPHZ renormalised BV master equation and two-loop anomalies in chiral gravities

DOI10.1016/0550-3213(96)00313-6zbMath0925.81396arXivhep-th/9603012OpenAlexW3104339509MaRDI QIDQ1921579

Walter Troost, F. de Jonghe, Jordi París

Publication date: 27 August 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9603012

zbMATH Keywords

Lagrangian Batalin Vilkovisky quantisationlocal quantum operator equationregularised perturbation theoryZimmerman normal products

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Anomalies in quantum field theory (81T50)

Related Items (5)

SUPERSPACE FORMULATION FOR THE BRST QUANTIZATION OF THE CHIRAL SCHWINGER MODEL ⋮ Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory ⋮ Superspace formulation of general massive gauge theories and geometric interpretation of mass-dependent Becchi–Rouet–Stora–Tyutin symmetries ⋮ \(\text{osp}(1,2)\)-covariant Lagrangian quantization of irreducible massive gauge theories with generic background configurations ⋮ Axial and Gauge Anomalies in the BV Formalism

Cites Work

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• Proof of the Bogoliubov-Parasiuk theorem on renormalization
• Spacetime locality of the BRST formalism
• Non-locally regularized antibracket-antifield formalism and anomalies in chiral \(W_3\) gravity
• Higher-loop anomalies in chiral gravities
• Are nonrenormalizable gauge theories renormalizable?
• Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral \(W_ 3\) gravity.
• Removal of divergences with the Batalin-Vilkovisky formalism
• Algebraic Renormalization
• Renormalization of one-parameter families of piecewise isometries

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