55 citations · 355 across the 20 of their papers we have counts for
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RG Flows and Fixed Points of Models
Christian Jepsen, Yaron Oz
By means of and large expansions, we study generalizations of the model where the fundamental fields are tensors of rank rather than vectors, and where the globa…
-adic Holography from the Hyperbolic Fracton Model
Han Yan, Christian B. Jepsen, Yaron Oz
We reveal a low-temperature duality between the hyperbolic lattice model featuring fractons and infinite decoupled copies of Zabrodin's -adic model of AdS/CFT. The core of the d…
Cutting the Coon Amplitude
Christian Baadsgaard Jepsen
The Coon amplitude is a -deformed generalization of the Veneziano amplitude exhibiting a semi-infinite sequence of poles that converge on an accumulation point, from which a bra…
Polyakov's confinement mechanism for generalized Maxwell theory
Matthew Heydeman, Christian B. Jepsen, Ziming Ji +1
We study fractional-derivative Maxwell theory, as appears in effective descriptions of, for example, large QED, graphene, and some types of surface defects. We argue th…
Adelic Amplitudes and Intricacies of Infinite Products
Christian B. Jepsen
For every prime number it is possible to define a -adic version of the Veneziano amplitude and its higher-point generalizations. Multiplying together the real amplitude with…
Chaotic RG Flow in Tensor Models
Maikel M. Bosschaert, Christian B. Jepsen, Fedor K. Popov
We study a bi-antisymmetric tensor quantum field theory with symmetry. Working in dimensions we calculate the beta functions up to second order in the c…
Homoclinic RG flows, or when relevant operators become irrelevant
Christian B. Jepsen, Fedor K. Popov
We study an supersymmetric quantum field theory with symmetry. Working in dimensions, we calculate the beta functions up to second loop orde…
RG Limit Cycles and Unconventional Fixed Points in Perturbative QFT
Christian B. Jepsen, Igor R. Klebanov, Fedor K. Popov
We study quantum field theories with sextic interactions in dimensions, where the scalar fields form irreducible representations under the or global…
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,…
Spin in -adic AdS/CFT
Steven S. Gubser, Christian Jepsen, Brian Trundy
We study the holographic dual of the simplest notion of spin in a -adic field theory, namely Green's functions which involve non-trivial sign characters over the -adic number…
-adic Mellin Amplitudes
Christian Baadsgaard Jepsen, Sarthak Parikh
In this paper, we propose a -adic analog of Mellin amplitudes for scalar operators, and present the computation of the general contact amplitude as well as arbitrary-point tree-…
Higher melonic theories
Steven S. Gubser, Christian Jepsen, Ziming Ji +1
We classify a large set of melonic theories with arbitrary -fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form $\ma…
Continuum limits of sparse coupling patterns
Steven S. Gubser, Christian Jepsen, Ziming Ji +1
We exhibit simple lattice systems, motivated by recently proposed cold atom experiments, whose continuum limits interpolate between real and -adic smoothness as a spectral expon…
Signs of the time: Melonic theories over diverse number systems
Steven S. Gubser, Matthew Heydeman, Christian Jepsen +4
Melonic field theories are defined over the -adic numbers with the help of a sign character. Our construction works over the reals as well as the -adics, and it includes the…
O(N) and O(N) and O(N)
Steven S. Gubser, Christian Jepsen, Sarthak Parikh +1
Three related analyses of theory with symmetry are presented. In the first, we review the model over the -adic numbers and the discrete renormalization group…
Edge length dynamics on graphs with applications to -adic AdS/CFT
Steven S. Gubser, Matthew Heydeman, Christian Jepsen +5
We formulate a Euclidean theory of edge length dynamics based on a notion of Ricci curvature on graphs with variable edge lengths. In order to write an explicit form for the discre…