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Mathematical Foundations of Quantum Field Theory and Perturbative String Theory (Hardcover)
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Mathematical Foundations of Quantum Field Theory and Perturbative String Theory (Hardcover)
Series: Proceedings of Symposia in Pure Mathematics
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Conceptual progress in fundamental theoretical physics is linked
with the search for the suitable mathematical structures that model
the physical systems. Quantum field theory (QFT) has proven to be a
rich source of ideas for mathematics for a long time. However,
fundamental questions such as ``What is a QFT?'' did not have
satisfactory mathematical answers, especially on spaces with
arbitrary topology, fundamental for the formulation of perturbative
string theory. This book contains a collection of papers
highlighting the mathematical foundations of QFT and its relevance
to perturbative string theory as well as the deep techniques that
have been emerging in the last few years. The papers are organised
under three main chapters: Foundations for Quantum Field Theory,
Quantisation of Field Theories, and Two-Dimensional Quantum Field
Theories. An introduction, written by the editors, provides an
overview of the main underlying themes that bind together the
papers in the volume.
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