2015/12/12 by Daniela Cadamuro, Cadamuro, Daniela
Mathematics · Physics and Astronomy · #81T40 (primary) 47G10 (secondary) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP #msc:47G10 #msc:81T40
paper · pdf · doi:10.48550/arxiv.1512.03946
Submitted to the proceedings of the 14th Marcel Grossmann meeting, Rome 2015; 6 pages, 2 figures
arxiv created 2015/12/12 · arxiv updated 2015/12/15
In a large class of factorizing scattering models, we construct candidates for the local energy density on the one-particle level starting from first principles, namely from the abstract properties of the energy density. We find that the form of the energy density at one-particle level can be fixed up to a polynomial function of energy. On the level of one-particle states, we also prove the existence of lower bounds for local averages of the energy density, and show that such inequalities can fix the form of the energy density uniquely in certain models.