Space Symmetries and Quantum Behavior of Finite Energy Configurations in SU(2)-Gauge Theory
A. V. Shurgaia, H. J. W. Mueller-Kirsten
TL;DR
This paper explores the quantum properties of finite energy solutions in SU(2)-Gauge Theory, employing collective coordinate methods and perturbation theory to analyze symmetries and conservation laws.
Contribution
It introduces a perturbation framework in inverse coupling constant powers that rigorously incorporates momentum and angular momentum conservation laws.
Findings
Developed a perturbation theory considering conservation laws
Analyzed quantum properties of localized finite energy solutions
Enhanced understanding of symmetries in SU(2)-Gauge Theory
Abstract
The quantum properties of localized finite energy solutions to classical Euler-Lagrange equations are investigated using the method of collective coordinates. The perturbation theory in terms of inverse powers of the coupling constant is constructed, taking into account the conservation laws of momentum and angular momentum (invariance of the action with respect to the group of motion M(3) of 3-dimensional Euclidean space) rigorously in every order of perturbation theory.
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