Sign of the induced gravitational constant

Details Sign of the induced gravitational constant Sign of the induced gravitational constant

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phrvd..26.2664k&link_type=abstract

Physical Review D (Particles and Fields), Volume 26, Issue 10, 15 November 1982, pp.2664-2670

Physics

11

Scientific paper

We study the restrictions that analyticity and positivity impose on ψ(q2), the two-point function constructed with the trace of the energy-momentum tensor of an asymptotically free gauge theory with dynamical symmetry breaking. The Adler-Zee formula for the induced gravitational constant is (16πGind)-1=(112)ψ'(0). We place particular emphasis on the question of the sign of Gind. This sign is related to the distribution and type of zeros of ψ(q2). We prove that for the case of asymptotic freedom ψ has at most two zeros. We investigate all possible cases and show that the Gind is potentially positive in three but each has a different sign of ψ(0), one ψ(0)>0, one ψ(0)<0, and one ψ(0)=0. Thus in the end only one case can survive. We derive convergent sum rules for (Gind)-1 in each case and determine the sign of ψ(0), and the sign of ψ(-Q2) as Q2-->∞. This last sign gives us a check on whether the renormalization procedure is consistent with positivity.

Affiliated with

Also associated with

No associations

Rating

Sign of the induced gravitational constant 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 Sign of the induced gravitational constant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sign of the induced gravitational constant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1758871