We report on a precise computation of the topological charge distribution in the SU(3) Yang-Mills theory. It is carried out on the lattice with high statistics Monte Carlo simulations by employing the definition of the topological charge suggested by Neuberger's fermions. We observe significant deviations from a Gaussian distribution. Our results disfavor the θ behavior of the vacuum energy predicted by dilute instanton models, while they are compatible with the expectation from the large Nc expansion.
Giusti, L., Petrarca, S., Taglienti, B. (2007). θ dependence of the vacuum energy in SU(3) gauge theory from the lattice. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 76(9) [10.1103/PhysRevD.76.094510].
θ dependence of the vacuum energy in SU(3) gauge theory from the lattice
Giusti, L;
2007
Abstract
We report on a precise computation of the topological charge distribution in the SU(3) Yang-Mills theory. It is carried out on the lattice with high statistics Monte Carlo simulations by employing the definition of the topological charge suggested by Neuberger's fermions. We observe significant deviations from a Gaussian distribution. Our results disfavor the θ behavior of the vacuum energy predicted by dilute instanton models, while they are compatible with the expectation from the large Nc expansion.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.