In this paper, the one-loop self energy of λφ3 theory is calculated by using Krein regularization in four and six dimensions and the result, which is finite, is compared with the conventional result of λφ3 theory ...In this paper, the one-loop self energy of λφ3 theory is calculated by using Krein regularization in four and six dimensions and the result, which is finite, is compared with the conventional result of λφ3 theory in Hilbert space. The self energy is calculated in the one-loop approximation and the result is automatically regularized as a result of “Krein Regularization”.展开更多
This paper serves as a tutorial paper for a new area of research in control systems,namely,quantized feedback control and estimation. This area is motivated by the increasing need of incorporating communication networ...This paper serves as a tutorial paper for a new area of research in control systems,namely,quantized feedback control and estimation. This area is motivated by the increasing need of incorporating communication networks in a control system. In such a framework,feedback information needs to be transmitted over a digital network,which results in a number of new challenges for estimation and control design. The focus of this paper is to introduce a number of recent results on the design of quantizers for the purposes of control design and state estimation. uantized feedback control,networked control,quantized estimation,robust control.展开更多
Quantum electrodynamics is often considered to be a trivial theory.This is based on a number of evidences,both numerical and analytical.One of the strong indications for triviality of QED is the existence of the Landa...Quantum electrodynamics is often considered to be a trivial theory.This is based on a number of evidences,both numerical and analytical.One of the strong indications for triviality of QED is the existence of the Landau pole for the running coupling.We show that by treating QED as the leading order approximation of an effective field theory and including the next-to-leading order corrections,the Landau pole is removed.We also analyze the cutoff dependence of the bare coupling at two-loop order and conclude that the conjecture,that for reasons of self-consistency,QED needs to be trivial is a mere artefact of the leading order approximation to the corresponding effective field theory.展开更多
基金supported by the Islamic Azad University of Parand
文摘In this paper, the one-loop self energy of λφ3 theory is calculated by using Krein regularization in four and six dimensions and the result, which is finite, is compared with the conventional result of λφ3 theory in Hilbert space. The self energy is calculated in the one-loop approximation and the result is automatically regularized as a result of “Krein Regularization”.
文摘This paper serves as a tutorial paper for a new area of research in control systems,namely,quantized feedback control and estimation. This area is motivated by the increasing need of incorporating communication networks in a control system. In such a framework,feedback information needs to be transmitted over a digital network,which results in a number of new challenges for estimation and control design. The focus of this paper is to introduce a number of recent results on the design of quantizers for the purposes of control design and state estimation. uantized feedback control,networked control,quantized estimation,robust control.
基金Supported in part by DFG and NSFC through funds provided to the Sino-German CRC 110“Symmetries and the Emergence of Structure in QCD”National Natural Science Foundation of under Grant No.11621131001,DFG under Grant No.TRR110the Georgian Shota Rustaveli National Science Foundation(Grant FR/417/6-100/14)the Chinese Academy of Sciences President’s International Fellowship Initiative(PIFI)under Grant No.2017VMA0025
文摘Quantum electrodynamics is often considered to be a trivial theory.This is based on a number of evidences,both numerical and analytical.One of the strong indications for triviality of QED is the existence of the Landau pole for the running coupling.We show that by treating QED as the leading order approximation of an effective field theory and including the next-to-leading order corrections,the Landau pole is removed.We also analyze the cutoff dependence of the bare coupling at two-loop order and conclude that the conjecture,that for reasons of self-consistency,QED needs to be trivial is a mere artefact of the leading order approximation to the corresponding effective field theory.
