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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Path Integrals and Anomalies in Curved Space (Paperback)
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Path Integrals and Anomalies in Curved Space (Paperback)
Series: Cambridge Monographs on Mathematical Physics
Expected to ship within 12 - 19 working days
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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.
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