Projects per year
Abstract
We consider massdeformed conformal gauge theories (mCGT) and investigate the scaling behaviour of hadronic observables as a function of the fermion mass. Applying renormalization group arguments directly to matrix elements, we find m_H ~ m^{1/(1+gamma*)} and F ~ m^{\eta_F(gamma*)} for the decay constants, thereby generalizing our results from a previous paper to the entire spectrum. We derive the scaling law m_H \~m^{1/(1+gamma*)} using the HellmannFeynman theorem, and thus provide a derivation which does not rely on renormalization group arguments. Using the new results we reiterate, on the phenomenologically important, Sparameter. Finally, we discuss how spectral representations can be used to relate the mass and decay constant trajectories.
Original language  English 

Pages (fromto)  217–220 
Number of pages  4 
Journal  Physics Letters B 
Volume  700 
Issue number  34 
DOIs  
Publication status  Published  13 Jun 2011 
Keywords
 hepph
 heplat
 hepth
 Conformal window
 Critical exponents
 4D conformal gauge theories
 Hadronic observables
 Lattice Monte Carlo simulations
 Exact beta function
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Projects
 1 Finished

Particle Theory at the Tait Institute
Ball, R., Berera, A., Boyle, P., Del Debbio, L., FigueroaO'Farrill, J., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., Pendleton, B. & Simon Soler, J.
1/10/11 → 30/09/15
Project: Research