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String modes, propagators and loops on fuzzy spaces

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arxiv 2203.02376 v1 pith:LBIRAWRB submitted 2022-03-04 hep-th

Harold C. Steinacker , Juraj Tekel This is my paper · ORCID
classification hep-th
keywords modesspacestringfuzzyloopsorganizationpositionquantum
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We present a systematic organization of functions and operators on the fuzzy 2-sphere in terms of string modes, which are optimally localized in position and momentum space. This allows to separate the semi-classical and the deep quantum regime of non-commutative quantum field theory and exhibits its nonlocal nature. This organization greatly simplifies the computation of loop contributions, avoiding oscillatory integrals and providing the effective action directly in position space. UV/IR mixing is understood as nonlocality arising from long string modes in the loops. The method is suited for any quantized symplectic space.

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  1. Minimal covariant quantum space-time

    hep-th 2025-02 conditional novelty 6.0 of 10

    The minimal covariant quantum space-time M^{1,3}_0 is shown to be a quantized twistor space, an S2 bundle over a k=-1 FLRW space-time, with localized quasi-coherent states.

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