39 citations · 53 across the 9 of their papers we have counts for
9 papers
Critical Phenomena on the Bethe Lattice
Rudrajit Banerjee, Nicolas Delporte, Saswato Sen +1
We investigate the critical behavior of a family of -symmetric scalar field theories on the Bethe lattice (the tree limit of regular hyperbolic tessellations) using b…
Analytic semigroups approaching a Schrödinger group on real foliated metric manifolds
Rudrajit Banerjee, Max Niedermaier
On real metric manifolds admitting a co-dimension one foliation, sectorial operators are introduced that interpolate between the generalized Laplacian and the d'Alembertian. This i…
Wick rotation in the lapse, admissible complex metrics, and foliation changing diffeomorphisms
Rudrajit Banerjee, Max Niedermaier
A Wick rotation in the lapse (not in time) is introduced that interpolates between Riemannian and Lorentzian metrics on real manifolds admitting a codimension-one foliation. The de…
States of Low Energy on Bianchi I spacetimes
Rudrajit Banerjee, Max Niedermaier
States of Low Energy are a class of exact Hadamard states for free quantum fields on cosmological spacetimes whose structure is fixed at {\it all} scales by a minimization principl…
-cutoff regularization for fields on hyperbolic space
Rudrajit Banerjee, Maximilian Becker, Renata Ferrero
We apply a novel background independent regularization scheme, the -cutoffs, to self-consistently quantize scalar and metric fluctuations on the maximally symmetric but non-comp…
The spatial Functional Renormalization Group and Hadamard states on cosmological spacetimes
Rudrajit Banerjee, Max Niedermaier
A spatial variant of the Functional Renormalization Group (FRG) is introduced on (Lorentzian signature) globally hyperbolic spacetimes. Through its perturbative expansion it is arg…
Bonus Properties of States of Low Energy
R. Banerjee, M. Niedermaier
States of Low Energy (SLE) are exact Hadamard states defined on arbitrary Friedmann-Lemaître spacetimes. They are constructed from a fiducial state by minimizing the Hamiltonian's…
Graph rules for the linked cluster expansion of the Legendre effective action
Rudrajit Banerjee, Max Niedermaier
Graph rules for the linked cluster expansion of the Legendre effective action are derived and proven in Euclidean dimensions. A key aspect is the weight assigned t…
Critical behavior of the hopping expansion from the Functional Renormalization Group
Rudrajit Banerjee
A lattice version of the widely used Functional Renormalization Group (FRG) for the Legendre effective action is solved - in principle exactly - in terms of graph rules for the lin…