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Titlebook: Geometry, Topology and Quantum Field Theory; Pratul Bandyopadhyay Book 2003 Springer Science+Business Media Dordrecht 2003 Baryon.Particle

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发表于 2025-3-21 18:42:36 | 显示全部楼层 |阅读模式
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Titlebook: Geometry, Topology and Quantum Field Theory;  Pratul Bandyopadhyay Book 2003 Springer Science+Business Media Dordrecht 2003 Baryon.Particle
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
doihttps://doi.org/10.1007/978-94-017-1697-0
isbn_softcover978-90-481-6338-0
isbn_ebook978-94-017-1697-0Series ISSN 0168-1222 Series E-ISSN 2365-6425
issn_series 0168-1222
copyrightSpringer Science+Business Media Dordrecht 2003
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发表于 2025-3-21 20:54:41 | 显示全部楼层
Book 2003 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 numb
发表于 2025-3-22 02:39:36 | 显示全部楼层
0168-1222 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 fe
发表于 2025-3-22 07:23:21 | 显示全部楼层
O. Hudlická,M. A. Cotter,J. Cooperred that a relativistic quantum particle may not be a point particle and position be extended to a certain region. Non-Hermitian nature of position variable is suitable for description of such extended body as each coordinate is associated with a pair of variables.
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https://doi.org/10.1007/978-1-4899-0248-1Let us consider a space-time manifold . such that locally its structure is given by that of Minkowski space i.e. it has a Lorentzian metric.
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https://doi.org/10.1007/978-1-4615-8609-8lativistic framework and the quantization of a Fermi field can be achieved when we take into account Brownian motion processes in the internal space also apart from that in the external space. For the quantization of a Fermi field we have to intorduce an anisotropy in the internal space so that the
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Solid State Physics Literature Guideshowever all the spins are aligned within a domain and is not rotationally invariant. The direction of spontaneous magnetization is random and all the degenerate ground states may be reached from a given one by rotation. At high temperature the atoms become randomly oriented and we have a symmetric g
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