Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-12-12
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, 3 figures
Scientific paper
We make use of the global symmetries of the Yang-Mills theory on the lattice to design a new computational strategy for extracting glueball masses and matrix elements which achieves an exponential reduction of the statistical error with respect to standard techniques. By generalizing our previous work on the parity symmetry, the partition function of the theory is decomposed into a sum of path integrals each giving the contribution from multiplets of states with fixed quantum numbers associated to parity, charge conjugation, translations, rotations and central conjugations Z_N^3. Ratios of path integrals and correlation functions can then be computed with a multi-level Monte Carlo integration scheme whose numerical cost, at a fixed statistical precision and at asymptotically large times, increases power-like with the time extent of the lattice. The strategy is implemented for the SU(3) Yang--Mills theory, and a full-fledged computation of the mass and multiplicity of the lightest glueball with vacuum quantum numbers is carried out at a lattice spacing of 0.17 fm.
Giusti Leonardo
Morte Michele Della
No associations
LandOfFree
A novel approach for computing glueball masses and matrix elements in Yang-Mills theories on the lattice 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 A novel approach for computing glueball masses and matrix elements in Yang-Mills theories on the lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A novel approach for computing glueball masses and matrix elements in Yang-Mills theories on the lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-637510