5 papers
Renormalization and conformal invariance of non-local quantum electrodynamics
Matthew Heydeman, Christian B. Jepsen, Ziming Ji +1
We study renormalization group flow in a non-local version of quantum electrodynamics (QED). We determine the regime in which the theory flows to a local theory in the infrared and…
Non-local non-linear sigma models
Steven S. Gubser, Christian B. Jepsen, Ziming Ji +2
We study non-local non-linear sigma models in arbitrary dimension, focusing on the scale invariant limit in which the scalar fields naturally have scaling dimension zero, so that t…
Propagator identities, holographic conformal blocks, and higher-point AdS diagrams
Christian Baadsgaard Jepsen, Sarthak Parikh
Conformal blocks are the fundamental, theory-independent building blocks in any CFT, so it is important to understand their holographic representation in the context of AdS/CFT. We…
Recursion Relations in -adic Mellin Space
Christian Baadsgaard Jepsen, Sarthak Parikh
In this work, we formulate a set of rules for writing down -adic Mellin amplitudes at tree-level. The rules lead to closed-form expressions for Mellin amplitudes for arbitrary s…
Mixed field theory
Steven S. Gubser, Christian Jepsen, Ziming Ji +1
We consider scalar field theory defined over a direct product of the real and -adic numbers. An adjustable dynamical scaling exponent enters into the microscopic lagrangian,…