تقرير
Counting parity-violating local S-matrices
| العنوان: | Counting parity-violating local S-matrices |
|---|---|
| المؤلفون: | Chowdhury, Subham Dutta |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | Four point tree-level local S-matrices form a module over ring of polynomials of mandelstam invariants s, t and u. The module of local analytic S-matrices can be encoded in terms of a partition function which is enumerated using plethystic techniques. In this paper, we enumerate the plethystic contribution to local four point photon, graviton and gluon multi-particle partition functions that encode parity violating $2 \rightarrow 2$ scattering. We generalise the counting problem solved in \cite{ Chowdhury:2019kaq, Chowdhury:2020ddc} to project out parity violating sectors, a subtle task in even dimensions \cite{Henning:2017fpj}. We explicitly enumerate the parity odd contributions to the multi-letter partition function for gauge fields, gravitons and gluons and evaluate the resulting parity violating partition functions in $D=4,6$. We also perform a large $D$ analysis to show that parity violating local interactions do not contribute to four particle scattering in higher dimensions ($D\geq 8$). Our computations and observations for photons, gravitons and gluons agree with the transformation properties of these S-matrices previously conjectured in \cite{Chowdhury:2019kaq, Chowdhury:2020ddc} Comment: 31 pages, 7 tables |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2212.12099 |
| رقم الأكسشن: | edsarx.2212.12099 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |