Sp(2) renormalization

详细信息    查看全文

• 作者：Peter M. Lavrov^a ; ^{lavrov@tspu.edu.ru"" rel=""nofollow}
• 关键词：Gauge theories ; Curved space ; Renormalization ; Extended BRST-symmetry ; Antibrackets
• 刊名：Nuclear Physics B
• 出版年：2011
• 出版时间：11 August 2011
• 年：2011
• 卷：849
• 期：2
• 页码：503-519
• 全文大小：183 K

文摘

The renormalization of general gauge theories on flat and curved space–time backgrounds is considered within the Sp(2)-covariant quantization method. We assume the existence of a gauge-invariant and diffeomorphism invariant regularization. Using the Sp(2)-covariant formalism one can show that the theory possesses gauge-invariant and diffeomorphism invariant renormalizability to all orders in the loop expansion and the extended BRST-symmetry after renormalization is preserved. The advantage of the Sp(2) method compared to the standard Batalin–Vilkovisky approach is that, in reducible theories, the structure of ghosts and ghosts for ghosts and auxiliary fields is described in terms of irreducible representations of the Sp(2) group. This makes the presentation of solutions to the master equations in more simple and systematic way because they are Sp(2)-scalars.