https://doi.org/10.1140/epjs/s11734-025-01803-9
Review
Relativistic quantum invariance of QED and QCD
Department of Physics, North Carolina State University, Box 8202, 27695, Raleigh, NC, USA
Received:
16
February
2025
Accepted:
8
July
2025
Published online:
22
July
2025
Relativistic quantum invariance plays prominent roles in the study of quantum field theories, typically QED and QCD. We utilize the idea of interpolating the instant form dynamics (IFD) and the light-front dynamics (LFD) to realize the relativistic quantum invariance of QED and QCD. Reviewing the connection between LFD and IFD using the idea of interpolating the two different forms of the relativistic dynamics, one can learn the distinguished features of each form and how one may utilize those distinguished features in solving the complicated relativistic quantum field theoretic problems more effectively. This review aims at presenting the basic first-hand knowledge of connecting the IFD and the LFD using the idea of interpolation, and demonstrating explicit examples of its utility in QED and QCD.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
