4D Gauge Theory

4D gauge theory provides mathematical equations for the transportation of particles through space.

Gauge theory is a part of quantum physics that deals with the transportation of particles through space; it describes the parallel transport of particles. 4D gauge theory hypothesizes the process by which there exists well-behaved parallel transport of particles in space over surfaces.

Ordinary Gauge Theory

Ordinary gauge theory demonstrates how point particles transform while they are moving in their position along physical paths.

Higher Gauge Theory

Higher gauge theory, which includes 4D gauge theory, describes not only how point particles move, but also how they transform into groups of two, or two parallel groups, resulting in a four-dimensional schema.

Tangent Two-Group Equation

A tangent two-group of particles in motion creates a four-dimensional schema with a corresponding algebraic equation. 4D gauge theory is based on 2D equations and also has theoretical applications in 6D gauge theory and SUSY (supersymmetric) gauge theory.

References

• Higher Gauge Theory; John Baez, Mathematics and Physics & Astronomy Departments, Louisiana State University
• University of California, Riverside - Mathematics Department: Higher Gauge Theory, John C. Baez
• 4d gauge theory and 2d CFT from 6d point of view; Yuji Tachikawa