Vacuum energy as a c-function for theories with dynamically generated masses

Abstract

We argue that in asymptotically free non-Abelian gauge theories possessing the phenomenon of dynamical mass generation the $\beta$ function is negative up to a value of the coupling constant that corresponds to a non-trivial fixed point, in agreement with recent AdS/QCD analysis. This fixed point happens at the minimum of the vacuum energy ($\Omega$), which, as a characteristic of theories with dynamical mass generation, has the properties of a c-function.

12 pages, 3 figures

References in corpus (7)

• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Pinch Technique: Theory and Applications
• Gluon mass generation in the PT-BFM scheme
• Power-law running of the effective gluon mass
• Positivity issues for the pinch-technique gluon propagator and their resolution
• Nonperturbative gluon and ghost propagators for d=3 Yang-Mills
• Deciphering the minimum of energy of some walking technicolor models