The Universal RG Machine

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

38 pages

Scientific paper

10.1007/JHEP06(2011)079

Functional Renormalization Group Equations constitute a powerful tool to encode the perturbative and non-perturbative properties of a physical system. We present an algorithm to systematically compute the expansion of such flow equations in a given background quantity specified by the approximation scheme. The method is based on off-diagonal heat-kernel techniques and can be implemented on a computer algebra system, opening access to complex computations in, e.g., Gravity or Yang-Mills theory. In a first illustrative example, we re-derive the gravitational $\beta$-functions of the Einstein-Hilbert truncation, demonstrating their background-independence. As an additional result, the heat-kernel coefficients for transverse vectors and transverse-traceless symmetric matrices are computed to second order in the curvature.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The Universal RG Machine 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 The Universal RG Machine, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Universal RG Machine will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-180097

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.