Speaker
Mr
Rudrajit Banerjee
(Department of Physics and Astronomy, University of Pittsburgh)
Description
A lattice version of the widely used
Functional Renormalization Group (FRG)
for the Legendre effective action is
solved (exactly) in terms of a linked
cluster expansion. The graph rules
invoke only one-line irreducible and
a new type of labeled tree graphs.
Conversely, the FRG induces nonlinear
flow equations governing suitable
resummations of the graph expansion. The
correspondence is tested on the critical
line of the Luscher-Weisz solution
of the phi^4 theory. An extension to
QFTs on curved spacetimes with flat
spatial sections is feasible.
Primary author
Mr
Rudrajit Banerjee
(Department of Physics and Astronomy, University of Pittsburgh)
Co-author
Dr
Max Niedermaier
(Department of Physics and Astronomy, University of Pittsburgh)