Effective potential calculation for a nonlocal scalar field theory
Hassan, Syed Asif
Stevenson, Paul M.
Master of Science
In the Standard Model, particles acquire mass due to interactions with a spontaneous vacuum condensate of scalar particles. The formation of the condensate can be understood as being due to a balance between the fundamental repulsive λ&phis; 4 interaction and an induced long-range attractive interaction. In order to study the role of this induced long-range interaction, we consider a model theory in which it is included, along with the standard λ&phis; 4 term, in the starting Lagrangian. We calculate the field-theoretic effective potential of this theory, working to second order in both of the interaction coupling strengths. We then investigate the renormalization of this result, in both the perturbative and the "autonomous" frameworks.
Physics; Particle physics; Pure sciences