Browsing by Author "Munasinghe, R. M"

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    Derivation of Bessel function closed-form solutions in zero dimensional φ4-field theory
    (Elsevier Ltd, 2023-02) Munasinghe, R. M
    The integral ∫−∞∞e−xdx is used as an introductory learning tool in the study of Quantum Field Theory and path integrals. Typically, it is analyzed via perturbation theory. Closed-form solutions have been quoted for which I could not find any derivation. Using a simple and elegant transformation, the close form solutions for the integral and its even positive integer moments can be obtained in terms of Bessel functions.