书目名称 | Geometry, Topology and Quantum Field Theory | 编辑 | Pratul Bandyopadhyay | 视频video | | 丛书名称 | Fundamental Theories of Physics | 图书封面 |  | 描述 | This is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a gauge field we have chiral anomaly which corresponds to the fact that divergence of the axial vector current does not vanish. It is observed that this is related to certain topological features associated with the fermion and leads to the realization of the topological origin of fermion number as well as the Berry phase. The role of gauge fields in the quantization procedure has its implications in these topological features of a fermion and helps us to consider a massive fermion as a soliton (skyrrnion). In this formalism chiral anomaly is found to be responsible for mass generation. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. The geometrical feature of a skyrmion also helps us to realize the internal symmetry of hadrons from reflection group. Finally it has been shown that noncommutative geometry where the space time manifold is taken to be X = M x Zz has its relevance in the description of a massive 4 fermion as a skyrmion when the discrete | 出版日期 | Book 2003 | 关键词 | Baryon; Particle Physics; hadron; linear optimization; manifold | 版次 | 1 | doi | https://doi.org/10.1007/978-94-017-1697-0 | isbn_softcover | 978-90-481-6338-0 | isbn_ebook | 978-94-017-1697-0Series ISSN 0168-1222 Series E-ISSN 2365-6425 | issn_series | 0168-1222 | copyright | Springer Science+Business Media Dordrecht 2003 |
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