Mathematical ideas and notions of quantum field theory
Pavel Etingof
TL;DR
This paper provides an accessible introduction to the fundamental mathematical concepts underlying quantum field theory, aimed at mathematicians to bridge the gap between physics and mathematics.
Contribution
It offers a comprehensive mathematical exposition of quantum field theory concepts tailored for mathematicians, enhancing interdisciplinary understanding.
Findings
Clarifies core mathematical structures of quantum field theory
Bridges mathematical and physical perspectives in quantum theory
Provides foundational knowledge for further mathematical research in quantum physics
Abstract
These are expanded notes of a course on basics of quantum field theory for mathematicians given by the author at MIT.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Quantum Mechanics and Applications