PreprintCC BY 4.0arXiv
Local Measures in Odd de Sitter
Abstract
We show that massless theories in odd-dimensional de Sitter space have very simple measures---the modulus squared of the late-time wavefunctional---at tree level. They are local functionals; in particular, all wavefunction coefficients vanish at separated positions. All the usual singularities of nonlocal wavefunctions in even dimensions only affect the phase in the odd dimensional case. Hence a closed formula can be written for any number of points. We focus on three examples: the non-linear sigma model, Yang-Mills theory and General Relativity, from dimensions three to seven.
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BibTeX
@misc{pimentel2026local,
title = {{Local Measures in Odd de Sitter}},
author = {Guilherme L. Pimentel and Nicole Righi and Behrang Tafreshi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36045},
eprint = {2610.36045},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36045},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Local Measures in Odd de Sitter
AU - Guilherme L. Pimentel
AU - Nicole Righi
AU - Behrang Tafreshi
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36045
UR - https://arxiv.org/abs/2610.36045
AB - We show that massless theories in odd-dimensional de Sitter space have very simple measures---the modulus squared of the late-time wavefunctional---at tree level. They are local functionals; in particular, all wavefunction coefficients vanish at separated positions. All the usual singularities of nonlocal wavefunctions in even dimensions only affect the phase in the odd dimensional case. Hence a closed formula can be written for any number of points. We focus on three examples: the non-linear sigma model, Yang-Mills theory and General Relativity, from dimensions three to seven.
ER -