Wavelet field decomposition and UV ‘opaqueness’
Abstract A large body of work over several decades indicates that, in the presence of gravitational interactions, there is loss of localization resolution within a fundamental (∼ Planck) length scale ℓ. We develop a general formalism based on wavelet decomposition of fields that takes this UV ‘opaqu...
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Online Access: | https://doi.org/10.1007/JHEP06(2021)077 |
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doaj-c0b9786f98d84a5190897fa348f88f8a2021-06-13T11:08:47ZengSpringerOpenJournal of High Energy Physics1029-84792021-06-012021612210.1007/JHEP06(2021)077Wavelet field decomposition and UV ‘opaqueness’E. T. Tomboulis0Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, UCLAAbstract A large body of work over several decades indicates that, in the presence of gravitational interactions, there is loss of localization resolution within a fundamental (∼ Planck) length scale ℓ. We develop a general formalism based on wavelet decomposition of fields that takes this UV ‘opaqueness’ into account in a natural and mathematically well-defined manner. This is done by requiring fields in a local Lagrangian to be expandable in only the scaling parts of a (complete or, in a more general version, partial) wavelet Multi-Resolution Analysis. This delocalizes the interactions, now mediated through the opaque regions, inside which they are rapidly decaying. The opaque regions themselves are capable of discrete excitations of ∼ 1/ℓ spacing. The resulting effective Feynman rules, which give UV regulated and (perturbatively) unitary physical amplitudes, resemble those of string field theory.https://doi.org/10.1007/JHEP06(2021)077Effective Field TheoriesScattering Amplitudes |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
E. T. Tomboulis |
spellingShingle |
E. T. Tomboulis Wavelet field decomposition and UV ‘opaqueness’ Journal of High Energy Physics Effective Field Theories Scattering Amplitudes |
author_facet |
E. T. Tomboulis |
author_sort |
E. T. Tomboulis |
title |
Wavelet field decomposition and UV ‘opaqueness’ |
title_short |
Wavelet field decomposition and UV ‘opaqueness’ |
title_full |
Wavelet field decomposition and UV ‘opaqueness’ |
title_fullStr |
Wavelet field decomposition and UV ‘opaqueness’ |
title_full_unstemmed |
Wavelet field decomposition and UV ‘opaqueness’ |
title_sort |
wavelet field decomposition and uv ‘opaqueness’ |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-06-01 |
description |
Abstract A large body of work over several decades indicates that, in the presence of gravitational interactions, there is loss of localization resolution within a fundamental (∼ Planck) length scale ℓ. We develop a general formalism based on wavelet decomposition of fields that takes this UV ‘opaqueness’ into account in a natural and mathematically well-defined manner. This is done by requiring fields in a local Lagrangian to be expandable in only the scaling parts of a (complete or, in a more general version, partial) wavelet Multi-Resolution Analysis. This delocalizes the interactions, now mediated through the opaque regions, inside which they are rapidly decaying. The opaque regions themselves are capable of discrete excitations of ∼ 1/ℓ spacing. The resulting effective Feynman rules, which give UV regulated and (perturbatively) unitary physical amplitudes, resemble those of string field theory. |
topic |
Effective Field Theories Scattering Amplitudes |
url |
https://doi.org/10.1007/JHEP06(2021)077 |
work_keys_str_mv |
AT ettomboulis waveletfielddecompositionanduvopaqueness |
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