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https://rda.sliit.lk/handle/123456789/3278| Title: | Derivation of Bessel function closed-form solutions in zero dimensional φ4-field theory |
| Authors: | Munasinghe, R. M. |
| Keywords: | 0-dimensional φ4-field theory 0-dimensional quartic anharmonic oscillator Solvable quantum field theory Closed-form solution Bessel functions |
| Issue Date: | Feb-2022 |
| Publisher: | Elsevier Ltd |
| Series/Report no.: | Heliyon;Volume 9, Issue 2 |
| Abstract: | The 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. |
| URI: | https://rda.sliit.lk/handle/123456789/3278 |
| ISSN: | 24058440 |
| Appears in Collections: | Department of Information Technology |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1-s2.0-S2405844023003754-main (1).pdf | 327.97 kB | Adobe PDF | View/Open |
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