Finite System Size Correction to NLO Scattering in $\phi^4$ Theory
| Autor: | Jean Du Plessis, William Horowitz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Physical Review |
| Popis: | We compute $2\rightarrow2$ scattering in massive $\phi^4$ theory on $\mathbb R^{1,m}\times T^n$ to NLO. We perform the calculations using "denominator regularization" instead of the usual dimensional regularization, which allows for asymmetric configurations of the $T^n$. We give a transparent derivation of and equation for the analytic continuation of the generalized Epstein zeta function. We show that the Optical Theorem is satisfied and generalize a conjecture by Hardy on square counting functions. We comment on the implications. Comment: 6 pages. Minor revisions to align the arXiv version with the published Phys.Rev.D Letter version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|