%0 Journal Article
%T The Benefits of Affine Quantization
%A John R. Klauder
%J Journal of High Energy Physics, Gravitation and Cosmology
%P 175-185
%@ 2380-4335
%D 2020
%I Scientific Research Publishing
%R 10.4236/jhepgc.2020.62014
%X Canonical quantization has served wonderfully for the quantization of a vast number of classical systems. That includes single classical variables, such as <i>p</i> and <i>q</i>, and numerous classical Hamiltonians <i>H</i>(<i>p</i>,<i>q</i>), as well as field theories, such as <i>¦Ð</i>(<i>x</i>) and <i>¦Õ</i>(<i>x</i>), and many classical Hamiltonians <i>H</i>(<i>¦Ð</i>,<i>¦Õ</i>. However, in all such systems, there are situations for which canonical quantization fails. This includes certain particle and field theory problems. Affine quantization involves a simple recombination of classical variables that lead to a new chapter in the process of quantization, and which is able to solve a vast variety of normally insoluble systems, such as quartic interactions in scalar field theory in spacetime dimensions 4 and higher, as well as the quantization of Einstein¡¯s gravity in 4 spacetime dimensions.
%K Affine Quantization
%K Canonical Quantization
%K Einstein¡¯s Gravity
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=98063