Quantization of non-polynomial field theories

Quantization of Non-Polynomial Field Theories

Quantization of Non-polynomial Field Theories

We reexamine the quantization of a class of non-polynomial scalar field theories which interpolates continuously from a free one to φ 4 theory. The quantization of such theories is problematic because the Feynman rules may not be directly obtained. We give a means for calculating the correlation functions in this theory. The Feynman rules developed here shall enable further progress in the unde...

ITP-SB-73 hep-th yymmdd Quantization of Non-Polynomial Field Theories

We re-examine the quantization of a class of non-polynomial scalar field theories which interpolates continuously from a free one to φ theory. The quantization of such theories is problematic because the Feynman rules may not be directly obtained. We give a means for calculating the correlation functions in this theory. The Feynman rules developed here shall enable further progress in the under...

Bending and Free Vibration Analysis of Functionally Graded Plates via Optimized Non-polynomial Higher Order Theories

Optimization concept in the context of shear deformation theories was born for the development of accurate models to study the bending problem of structures. The present study seeks to extend such an approach to the dynamic analysis of plates. A compact and unified formulation with non-polynomial shear strain shape functions (SSSFs) is employed to develop a static and free vibration analysis of...

Non-fixing Gauge Field Quantization

The gauge field theories are usually quantized by fixing gauge. In this paper, we propose a new formalism that quantizes gauge fields without gauge fixing but naturally follows canonical formalism. New physical implications will follow. Gauge symmetry is often indispensable because relativistic system usually need gauge symmetry. If it were not for gauge symmetry for a vector or tensor field, w...