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8 - Method of Quantum Field Theory

from Part II - Theoretical Backgrounds

Published online by Cambridge University Press:  14 December 2023

Tadashi Hasebe
Tadashi Hasebe
Affiliation:
Kobe University, Japan
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Summary

Quantum field theory (QFT) provides us with one and almost only suitable language (or mathematical tool) for describing not only the motion and interaction of particles but also their “annihilation” and “creation” out of a field considered a priori in a sophisticated way, whose view seems to be suited for describing dislocations, as a particle or a string embedded within a crystalline ordered field. This chapter concisely overviews the method of QFT, emphasizing distinction from the quantum mechanics, conventionally used for a single and/or many particle problems, and its equivalence to the statistical mechanics. The alternative formalism based on Feynman path integral and its imaginary time representation are reviewed, as the foundation for our use in Chapter 10.

Keywords

Quantum Field Theory (QFT)Quantum MechanicsFeynman Path IntegralStatistical Mechanics
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Chapter
Information
Field Theory of Multiscale Plasticity , pp. 416 - 436
Publisher: Cambridge University Press
Print publication year: 2024

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