Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-23
JHEP 0310 (2003) 054
Physics
High Energy Physics
High Energy Physics - Theory
Improved the explanations, added references, added 3 figures and an appendix, corrected a sign error in the old figure 4 (now
Scientific paper
10.1088/1126-6708/2003/10/054
In a traditional gauge theory, the matter fields \phi^a and the gauge fields A^c_\mu are fundamental objects of the theory. The traditional gauge field is similar to the connection coefficient in the Riemannian geometry covariant derivative, and the field-strength tensor is similar to the curvature tensor. In contrast, the connection in Riemannian geometry is derived from the metric or an embedding space. Guided by the physical principal of increasing symmetry among the four forces, we propose a different construction. Instead of defining the transformation properties of a fundamental gauge field, we derive the gauge theory from an embedding of a gauge fiber F=R^n or F=C^n into a trivial, embedding vector bundle F=R^N or F=C^N where N>n. Our new action is symmetric between the gauge theory and the Riemannian geometry. By expressing gauge-covariant fields in terms of the orthonormal gauge basis vectors, we recover a traditional, SO(n) or U(n) gauge theory. In contrast, the new theory has all matter fields on a particular fiber couple with the same coupling constant. Even the matter fields on a C^1 fiber, which have a U(1) symmetry group, couple with the same charge of +/- q. The physical origin of this unique coupling constant is a generalization of the general relativity equivalence principle. Because our action is independent of the choice of basis, its natural invariance group is GL(n,R) or GL(n,C). Last, the new action also requires a small correction to the general-relativity action proportional to the square of the curvature tensor.
Cahill Kevin
Serna Mario
No associations
LandOfFree
Riemannian Gauge Theory and Charge Quantization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Riemannian Gauge Theory and Charge Quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Riemannian Gauge Theory and Charge Quantization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-421189