An anthology of non-local QFT and QFT on noncommutative spacetime
Bert Schroer (CBPF, Rio de Janeiro)
TL;DR
This paper critically reviews non-local quantum field theories, especially those on noncommutative spacetime, highlighting their conceptual foundations, historical development, and recent approaches in the context of renormalization and non-localization.
Contribution
It provides a comprehensive critical analysis of non-local QFT and QFT on noncommutative spacetime, connecting recent developments with historical perspectives.
Findings
Highlights conceptual issues in non-local QFT
Connects noncommutative spacetime QFT with historical approaches
Identifies gaps and challenges in current non-local QFT research
Abstract
Ever since the appearance of renormalization theory there have been several differently motivated attempts at non-localized (in the sense of not generated by point-like fields) relativistic particle theories, the most recent one being at QFT on non-commutative Minkowski spacetime. The often conceptually uncritical and historically forgetful contemporary approach to these problems calls for a critical review the light of previous results on this subject.
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