Finite System Size Correction to NLO Scattering in $\phi^4$ Theory
Autor: | Jean Du Plessis, William Horowitz |
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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 |
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