2006
DOI: 10.1209/epl/i2006-10010-4
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Sufficient condition for the UV finiteness of Feynman graphs

Abstract: We introduce an integral expression of Euclidean-space propagators. The Euclidean-space propagators can be expressed as Fourier-Laplace transform of the free-field operator commutator. Based on the integral expression of Euclidean-space propagators, we find a sufficient condition for the ultraviolet (UV) finiteness of Feynman graphs calculated with various modified propagators.

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“…Plasmene, a 2D monolayer nanosheet assembled from constituent plasmonic nanoparticle building blocks, was introduced by our research group back in 2014. [ 1–3 ] It is a new class of advanced materials combining tailorable organic ligands and inorganic building blocks that can be finely tuned with arbitrary size and shapes, [ 4 ] demonstrating unique structure‐dependent properties such as gap‐depended plasmonics, [ 1 ] n‐doping or p‐doping like properties, [ 5 ] transmutable optical and structural properties, [ 6 ] asymmetrical ion transport properties, [ 7 ] and inter/intra‐plasmonic coupling. [ 8 ] While a focused ion beam (FIB) is able to program milling sites and milling depths precisely to obtain several 3D plasmene origami structures, [ 1,9 ] helical plasmonic structures have not yet been achieved.…”
Section: Introductionmentioning
confidence: 99%
“…Plasmene, a 2D monolayer nanosheet assembled from constituent plasmonic nanoparticle building blocks, was introduced by our research group back in 2014. [ 1–3 ] It is a new class of advanced materials combining tailorable organic ligands and inorganic building blocks that can be finely tuned with arbitrary size and shapes, [ 4 ] demonstrating unique structure‐dependent properties such as gap‐depended plasmonics, [ 1 ] n‐doping or p‐doping like properties, [ 5 ] transmutable optical and structural properties, [ 6 ] asymmetrical ion transport properties, [ 7 ] and inter/intra‐plasmonic coupling. [ 8 ] While a focused ion beam (FIB) is able to program milling sites and milling depths precisely to obtain several 3D plasmene origami structures, [ 1,9 ] helical plasmonic structures have not yet been achieved.…”
Section: Introductionmentioning
confidence: 99%