7 papers
Scaling limits of lattice quantum fields by wavelets
Vincenzo Morinelli, Gerardo Morsella, Alexander Stottmeister +1
We present a rigorous renormalization group scheme for lattice quantum field theories in terms of operator algebras. The renormalization group is considered as an inductive system…
Further comments on "Individual external dose monitoring of all citizens of Date City by passive dosimeter 5 to 51 months after the Fukushima NPP accident (series): 1." : Inconsistencies in Table 1 2014 Q3 and Figure 4f
Shin-ichi Kurokawa, Yutaka Hamaoka, Kyo Kageura +3
We point out serious inconsistencies of the first paper of the series, written by Makoto Miyazaki and Ryugo Hayano, which discusses the correlation between the personal doses of th…
Solitons and nonsmooth diffeomorphisms in conformal nets
Simone Del Vecchio, Stefano Iovieno, Yoh Tanimoto
We show that any solitonic representation of a conformal (diffeomorphism covariant) net on S^1 has positive energy and construct an uncountable family of mutually inequivalent soli…
Positive energy representations of Sobolev diffeomorphism groups of the circle
Sebastiano Carpi, Simone Del Vecchio, Stefano Iovieno +1
We show that any positive energy projective unitary representation of Diff(S^1) extends to a strongly continuous projective unitary representation of the fractional Sobolev diffeom…
Scale and Möbius covariance in two-dimensional Haag-Kastler net
Vincenzo Morinelli, Yoh Tanimoto
Given a two-dimensional Haag-Kastler net which is Poincaré-dilation covariant with additional properties, we prove that it can be extended to a Möbius covariant net. Additional pro…
Ground state representations of some non-rational conformal nets
Yoh Tanimoto
We construct families of ground state representations of the U(1)-current net and of the Virasoro nets Vir_c with central charge c >= 1. We show that these representations are not…