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Fermions and Anomalies in Quantum Field Theories (Hardcover, 1st ed. 2023)
Loot Price: R3,305
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Fermions and Anomalies in Quantum Field Theories (Hardcover, 1st ed. 2023)
Series: Theoretical and Mathematical Physics
Expected to ship within 10 - 15 working days
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This book presents a modern view of anomalies in quantum field
theories. It is divided into six parts. The first part is
preparatory covering an introduction to fermions, a description of
the classical symmetries, and a short introduction to conformal
symmetry. The second part of the book is devoted to the relation
between anomalies and cohomology. The third part deals with
perturbative methods to compute gauge, diffeomorphism and trace
anomalies. In the fourth part the same anomalies are calculated
with non-perturbative heat-kernel-like methods. Part five is
devoted to the family's index theorem and its application to chiral
anomalies, and to the differential characters and their
applications to global anomalies. Part six is devoted to special
topics including a complete calculation of trace and diffeomorphism
anomalies of a Dirac fermion in a MAT background in two dimensions,
Wess-Zumino terms in field theories, sigma models, their local and
global anomalies and their cancelation, and finally the analysis of
the worldsheet, sigma model, and target space anomalies of string
and superstring theories. The book is targeted to researchers and
graduate students.
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