On quasi-local charges and Newman--Penrose type quantities in Yang--Mills theories

Details On quasi-local charges and Newman--Penrose type quantities in Yang--Mills theories On quasi-local charges and Newman--Penrose type quantities in Yang--Mills theories

2010-12-21

arxiv.org/abs/1012.4662v2

Classical and Quantum Gravity, vol 24, 145013 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, typos corrected, appearing in Classical and Quantum Gravity

Scientific paper

We generalize the notion of quasi-local charges, introduced by P. Tod for Yang--Mills fields with unitary groups, to non-Abelian gauge theories with arbitrary gauge group, and calculate its small sphere and large sphere limits both at spatial and null infinity. We show that for semisimple gauge groups no reasonable definition yield conserved total charges and Newman--Penrose (NP) type quantities at null infinity in generic, radiative configurations. The conditions of their conservation, both in terms of the field configurations and the structure of the gauge group, are clarified. We also calculate the NP quantities for stationary, asymptotic solutions of the field equations with vanishing magnetic charges, and illustrate these by explicit solutions with various gauge groups.

Affiliated with

Also associated with

No associations

Rating

On quasi-local charges and Newman--Penrose type quantities in Yang--Mills theories 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 On quasi-local charges and Newman--Penrose type quantities in Yang--Mills theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On quasi-local charges and Newman--Penrose type quantities in Yang--Mills theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96084