Spontaneous Symmetry Breaking and the Renormalization of the Chern-Simons Term

We calculate the one-loop perturbative correction to the coefficient of the \cs term in non-abelian gauge theory in the presence of Higgs fields, with a variety of symmetry-breaking structures. In the case of a residual $U(1)$ symmetry, radiative corrections do not change the coefficient of the \cs term. In the case of an unbroken non-abelian subgroup, the coefficient of the relevant \cs term (suitably normalized) attains an integral correction, as required for consistency of the quantum theory. Interestingly, this coefficient arises purely from the unbroken non-abelian sector in question; the orthogonal sector makes no contribution. This implies that the coefficient of the \cs term is a discontinuous function over the phase diagram of the theory.Comment: Version to be published in Phys Lett B., minor additional change

Автоматизированная система управления технологическим процессом колоны деэтанизатора ОАО «Ямал СПГ»

Объектом исследования является деэтанизатор и его сопутствующие оборудование на установке фракционирования завода по производству сжиженного природного газа "Ямал СПГ", п. Сабетта. Цель работы - исследование и оптимизация системы автоматизации деэтанизатора и его сопутствующего оборудования для повышения стабильности и надёжности технологического процесса, увеличение эффективности работы колонны.The object of the research is the deethanizer and its associated equipment at the fractionation unit of the Yamal LNG plant for the production of liquefied natural gas, Sabetta. The purpose of the work is to study and optimize the automation system of the deethanizer and its associated equipment to increase the stability and reliability of the technological process, increase the efficiency of the column