SciPost Submission Page
Scattering and Strebel graphs
by Pronobesh Maity
Submission summary
| Authors (as registered SciPost users): | Pronobesh Maity |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2108.09458v2 (pdf) |
| Date accepted: | July 5, 2022 |
| Date submitted: | June 8, 2022, 8:14 p.m. |
| Submitted by: | Pronobesh Maity |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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Abstract
We consider a special scattering experiment with n particles in $\mathbb{R}^{n-3,1}$. The scattering equations in this set-up become the saddle-point equations of a Penner-like matrix model, where in the large $n$ limit, the spectral curve is directly related to the unique Strebel differential on a Riemann sphere with three punctures. The solutions to the scattering equations localize along different kinds of graphs, tuned by a kinematic variable. We conclude with a few comments on a connection between these graphs and scattering in the Gross-Mende limit.
List of changes
The following changes have been made:
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Reference [13] https://inspirehep.net/literature/1835427 has been added.
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$\mathbb{R}^{d-1,1}$ has been replaced by $\mathbb{R}^{1,d-1}$ throughout the text.
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In eq. (2.6), $j(\neq 1)=1$ has been replaced by $j(\neq i)=1$.
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In eq. (3.13) and (3.18), integration contour C has been replaced by $\mathcal{C}.
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In eq. (6.1) and (6.2), $\mathcal{O}(1/s)$ has been removed.
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In eq (B.3), $i \leq j$ is replaced by $i<j$.
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In the 2nd line of eq. (3.3), the Vandermonde determinant $\Delta^2({\sigma_a})$ has been removed.
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Above eq. (2.7) we mentioned that three redundant scattering eq.s are removed and below the eq. we specified the choices of $\sigma_{A,B,C}$ explicitly.
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Below eq. (2.3), we mentioned that the on-shell condition is satisfied.
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In eq. (2.9), we added a -ve sign on the L.H.S.
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Added a line "But a good analytical method is still missing" in the 2nd stanza of page 1.
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Corrected the typo from "chqnge" to "change" below eq. (B.3).
Published as SciPost Phys. 13, 010 (2022)