Pranav Sharma
Contact Information
- sharma.1098@osu.edu
- Office
- PRB M2060
Areas of Expertise
- Path integrals, Many-body physics, Low energy nuclear physics, Effective field theories
Education
- B.Sc Physics, Michigan State University (2021)
- B.Sc Mathematics, Michigan State University (2021)
- M.Sc Physics, Ohio State University (2023)
I'm a nuclear theory grad student working on path integral approaches to the nuclear many-body problem in Dick Furnstahl's group.
My primary goal is looking at using path integrals to discuss collective and composite degrees of freedom in the formulation of nuclear energy density functionals (EDFs), however I'm also branching out into ab-initio directions!
I've done some preliminary work (arxiv:2506.02919) into going beyond mean field with competing channels in the calculation of the EDF for a uniform system. The results are quite promising as avenues of handling the problem of competing channels in a systematically improvable manner! Applying the same ideas to a finite system (like a nucleus) brings us to the issue of broken symmetries, since mean field approximations necessarily break translational, rotational, particle number symmetries for nuclei. Treating the broken symmetries as gauge symmetries has been the approach I've taken, and I've written a pedagogical guide (arxiv:2609.10172) on how this works with focus on both EDF calculations and ab-initio calculations. I have many paths forward with these two frameworks working together and individually, and I'm pursuing multiple of these paths now!