Application to Quantum Field Theory

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


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.


Continuum Limit Spacetime Dimension Free Theory Local Power Ultraviolet Divergence 


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Copyright information

© Birkhäuser Boston 2011

Authors and Affiliations

  1. 1.Department of Physics and Department of MathematicsUniversity of FloridaGainesvilleUSA

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