Munasinghe, R. M.2023-02-152023-02-152022-0224058440https://rda.sliit.lk/handle/123456789/3278The integral 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.en0-dimensional φ4-field theory0-dimensional quartic anharmonic oscillatorSolvable quantum field theoryClosed-form solutionBessel functionsDerivation of Bessel function closed-form solutions in zero dimensional φ4-field theoryArticle10.1016/j.heliyon.2023.e13168