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Main Authors: Chen, Bin, Hu, Zezhou, Mao, Xin-Cheng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.21994
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author Chen, Bin
Hu, Zezhou
Mao, Xin-Cheng
author_facet Chen, Bin
Hu, Zezhou
Mao, Xin-Cheng
contents This letter serves as the generalization of the work 2505.16436, where we investigated the quantum field theory in Klein space which has two time directions. We extend studies to the general spacetime $\mathbb{R}^{n,d-n}\,(n,d-n\geq2)$ in a similar manner: the ``length of time'' $q$ is regarded as the evolution direction of the system; additional modes beyond the plane wave modes are introduced in the canonical quantization. We show that this novel formulation is consistent with the analytical continuation of the results in Minkowski spacetime.
format Preprint
id arxiv_https___arxiv_org_abs_2506_21994
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum field theory in flat spacetime with multiple time directions
Chen, Bin
Hu, Zezhou
Mao, Xin-Cheng
High Energy Physics - Theory
This letter serves as the generalization of the work 2505.16436, where we investigated the quantum field theory in Klein space which has two time directions. We extend studies to the general spacetime $\mathbb{R}^{n,d-n}\,(n,d-n\geq2)$ in a similar manner: the ``length of time'' $q$ is regarded as the evolution direction of the system; additional modes beyond the plane wave modes are introduced in the canonical quantization. We show that this novel formulation is consistent with the analytical continuation of the results in Minkowski spacetime.
title Quantum field theory in flat spacetime with multiple time directions
topic High Energy Physics - Theory
url https://arxiv.org/abs/2506.21994