Locally detecting UV cutoffs on a sphere with particle detectors

نویسندگان

چکیده

The potential breakdown of the notion a metric at high energy scales could imply existence fundamental minimal length scale below which distances cannot be resolved. One approach to realizing this minimum is construct quantum field theory with bandlimit on field. We report an investigation effects imposing curved and compact spacetime how best detect such if it exists. To achieve operationally, we couple two Gaussian-smeared UDW detectors scalar $S^2 \times R$ spherical through delta-switching. implemented cut-off allowable angular momentum modes observe that number features single detector response in case are similar those flat spacetime, including dependence geometry detector, smaller more strongly field, leading optimal size for detection. find squeezed senstive provided they larger than size; however, itself determines squeezing improves sensitivity. also explore setups detectors, noting case, due its nature, there lack dissipation any perturbation results locally excited signals being refocused poles. Quite strikingly, feature can exploited significantly improve detection via mediated signalling. Moreover, sphere introduces extra anisotropies amplify or weaken second detector.

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ژورنال

عنوان ژورنال: Physical review

سال: 2023

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.107.045006