WebKLN Theorem for infrared divergences. It is easy to prove Hodge conjecture in codimension 1 - use the exponential sequence. Fundamental theorem of tropical geometry and Viro patchworking. One can produce Hodge ltration (not the decomposition) by reduction to nite characteristic - using Hodge to deRham spectral sequence. WebAbstract: A quantum thermal field theory is constructed for scalar particles in the case of deformed statistics. The extension is provided by working out the Fock space realization of a “quantum algebra” Examining the perturbative behaviour of this theory and in particular the possible extension of the KLN theorem, we argue that it appears to be a stable structure …
quantum field theory - Scattering amplitude with on-shell virtual ...
WebApr 28, 2024 · The KLN theorem is pretty general; its proof uses nothing except unitary quantum mechanics. The initial state sum turns out to be much stronger than needed in QCD. In general for IR finiteness at the cross-section level the only initial states you need in QCD are the ones obtained by so-called "double cut diagrams." WebJan 11, 2000 · The Kinoshita-Lee-Nauenberg (KLN) theorem describes the fact that inclusive electromagnetic and weak production processes in the vacuum do not contain singularities in the ultra-relativistic limit of zero mass. When these production processes occur in condensed matter, the KLN theorem fails. One consequence of this failure is that … colon fungus symptoms
Infrared Finiteness and Forward Scattering - arXiv
WebThe standard approach to the infra-red problem is to use the Bloch-Nordsieck trick to handle soft divergences and the Lee-Nauenberg (LN) theorem for collinear singularities. We show that this is inconsistent in the presence of massless initial particles. Furthermore, we show that using the LN theorem with such initial states introduces a non-convergent infinite … Web1) where k B {\displaystyle k_{\mathrm {B} }} is the Boltzmann constant (also written as simply k {\displaystyle k}) and equal to 1.380649 × 10 −23 J/K, and log {\displaystyle \log } … dr. sacha matthews maine