Stevenson, Paul M.2018-12-032018-12-032006Hassan, Syed Asif. "Effective potential calculation for a nonlocal scalar field theory." (2006) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/103716">https://hdl.handle.net/1911/103716</a>.https://hdl.handle.net/1911/103716In 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.74 ppengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.PhysicsParticle physicsPure sciencesThesis305290827THESIS PHYS. 2007 HASSAN