Physical model of dimensional regularization

We explicitly construct fractals of dimension 4-epsilon on which dimensional regularization approximates scalar-field-only quantum-field-theory amplitudes. The construction does not require fractals to be Lorentz-invariant in any sense, and we argue that there probably is no Lorentz-invariant fracta...

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Veröffentlicht in:	arXiv.org 2016-12
1. Verfasser:	Schonfeld, Jonathan F
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Derivation Euclidean geometry Euclidean space Field theory Fractal geometry Invariants Minkowski space Physics - General Physics Physics - High Energy Physics - Theory Power law Quantum gravity Regularization
Online-Zugang:	Volltext
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