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  3. Path Integrals and Anomalies in Curved Space
  • Cited by 102
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    • Publisher:
      Cambridge University Press
      Publication date:
      October 2009
      July 2006
      ISBN:
      9780511535031
      9780521847612
      9780521120500
      DOI:
      https://doi.org/10.1017/CBO9780511535031
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.854kg, 398 Pages
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.59kg, 400 Pages
      • Subjects:
      Particle Physics and Nuclear Physics, Physics and Astronomy, Theoretical Physics and Mathematical Physics
      Series:
      Cambridge Monographs on Mathematical Physics
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    Subjects:
    Particle Physics and Nuclear Physics, Physics and Astronomy, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Monographs on Mathematical Physics
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    Book description

    Path integrals provide a powerful method for describing quantum phenomena. This book introduces the quantum mechanics of particles that move in curved space by employing path integrals and then using them to compute anomalies in quantum field theories. The authors start by deriving path integrals for particles moving in curved space and their supersymmetric generalizations. They then discuss the regularization schemes essential to constructing and computing these path integrals. This topic is used to introduce regularization and renormalization in quantum field theories in a wider context. These methods are then applied to discuss and calculate anomalies in quantum field theory. Such anomalies provide enormous constraints in the search for physical theories of elementary particles, quantum gravity and string theories. An advanced text for researchers and graduate students of quantum field theory and string theory, the first part is also a stand-alone introduction to path integrals in quantum mechanics.

    Reviews

    "Thanks to the exceptional clarity of the presentation, the meticulous attention to the subtleties of the calculations can be appreciated both by researchers who are experts in the subject and by graduate students who are approaching this field with minimum background knowledge. Anyone who is interested in this subject should read this book carefully."
    Diego N. Pelliccia for Mathematical Reviews

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