Abstract

AbstractIn the present chapter we extend the basic ideas of quantum mechanics and elementary path integral representations of that quantum mechanics to a limited discussion of contemporary quantum field theory, namely, scalar fields. Initial emphasis is placed on understanding the free relativistic quantum field theory in Minkowski and Euclidean spacetimes with dimensions n≥2. Interacting theories are examined from the point of view of perturbation theory about the free theory, and a brief discussion of their nonperturbative analysis by lattice regularized Euclidean spacetime is offered.KeywordsContinuum LimitSpacetime DimensionFree TheoryLocal PowerUltraviolet DivergenceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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