Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-05-13
Phys.Rev.D82:014502,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
31 pages 5 figures; version appeared in PRD plus comments on addendum on paper that appeared afterwards
Scientific paper
10.1103/PhysRevD.82.014502
We present a number of analytical results which should guide the interpretation of lattice data in theories with an infra-red fixed point (IRFP) deformed by a mass term deltaL = - m \bar qq. From renormalization group (RG) arguments we obtain the leading scaling exponent, F ~ m^(eta_F), for all decay constants of the lowest lying states other than the ones affected by the chiral anomaly and the tensor ones. These scaling relations provide a clear cut way to distinguish a theory with an IRFP from a confining theory with heavy fermions. Moreover, we present a derivation relating the scaling of <\bar qq> \sim m^(eta_qq) to the scaling of the density of eigenvalues of the massless Dirac operator rho(lambda) ~ lambda^(eta_qq) RG arguments yield eta_qq = (3-gamma*)/(1+\gamma*)$ as a function of the mass anomalous dimension gamma* at the IRFP. The arguments can be generalized to other condensates such as
Debbio Luigi Del
Zwicky Roman
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