Application to Quantum Field Theory
In 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 Limit Spacetime Dimension Free Theory Local Power Ultraviolet Divergence
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