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Introduction to Quantum Field Theory in C4 Space-Time

Submitted:

17 September 2018

Posted:

19 September 2018

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Abstract
We explore the possibility to nd the usual quantum theories, within the formulation of a classic theory of mechanics in C4. Speci cally, by releasing the end-point of the integral of the action derived in C4, we derive the dynamic path length of the geodesic equation in C4. In the at case, the derived Hamilton-Jacobi equations, were identi ed as the usual Klein-Gordon equation, where the complex functional action S(zi), is identi ed as the usual complex scalar field φ. Afterwards, we study the energy-momentum 4-d complex vector, in order to re-establish the usual covariant derivative of gauge theories.
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