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We delve into the in-in formalism and derive general expressions for the computation of n-point functions for a self-interacting scalar field by means of a probability density functional (PDF). Even though in typical situations these…

High Energy Physics - Theory · Physics 2019-03-28 Bruno Scheihing Hitschfeld

Non-parametric imaging and data analysis in astrophysics and cosmology can be addressed by information field theory (IFT), a means of Bayesian, data based inference on spatially distributed signal fields. IFT is a statistical field theory,…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Torsten Enßlin

We investigate the bipartite fidelity $\mathcal F_d$ for a lattice model described by a logarithmic CFT: the model of critical dense polymers. We define this observable in terms of a partition function on the pants geometry, where $d$…

Statistical Mechanics · Physics 2020-01-29 Gilles Parez , Alexi Morin-Duchesne , Philippe Ruelle

We study the conformal field theory data (CFT-data) of planar 4D $\mathcal{N} = 4$ Super-Yang-Mills theory in the strong 't Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual…

High Energy Physics - Theory · Physics 2025-01-27 Julius Julius , Nika Sergeevna Sokolova

We introduce the impact-parameter representation for conformal field theory correlators of the form A ~ < O_1 O_2 O_1 O_2 >. This representation is appropriate in the eikonal kinematical regime, and approximates the conformal partial-wave…

High Energy Physics - Theory · Physics 2008-11-26 Lorenzo Cornalba , Miguel S. Costa , Joao Penedones , Ricardo Schiappa

Classification and construction of symmetry protected topological (SPT) phases in interacting boson and fermion systems have become a fascinating theoretical direction in recent years. It has been shown that the (generalized) group…

Strongly Correlated Electrons · Physics 2018-04-05 Qing-Rui Wang , Zheng-Cheng Gu

We construct fermionic conformal field theories (CFTs) whose spectra are characterized by quantum stabilizer codes. We exploit our construction to search for fermionic CFTs with supersymmetry by focusing on quantum stabilizer codes of the…

High Energy Physics - Theory · Physics 2023-08-04 Kohki Kawabata , Tatsuma Nishioka , Takuya Okuda

We present a new $\texttt{python}$ package SARABANDE for measuring 3 & 4 Point Correlation Functions (3/4 PCFs) in $\mathcal{O}(N_{\rm g} \log N_{\rm g})$ time using Fast Fourier Transforms (FFTs), with $N_{\rm g}$ the number of grid points…

Instrumentation and Methods for Astrophysics · Physics 2022-10-26 James Sunseri , Zachary Slepian , Stephen Portillo , Jiamin Hou , Sule Kahraman , Douglas P. Finkbeiner

We explore the space of non-gravitational, maximally supersymmetric, planar 4d effective field theories (EFTs) that have $\mathcal{N}=4$ super Yang-Mills (SYM) at leading order. We show that in the weakly-coupled regime, highly non-trivial…

High Energy Physics - Theory · Physics 2026-05-15 Henriette Elvang , Aidan Herderschee , Roger Morales

In this paper, we present a new hybrid algorithm for the time integration of collisional N-body systems. In this algorithm, gravitational force between two particles is divided into short-range and long-range terms, using a…

Earth and Planetary Astrophysics · Physics 2015-05-27 Shoichi Oshino , Yoko Funato , Junichiro Makino

We study at zero temperature a microscopic quantum spin-1 model on the fuzzy sphere that realizes the $O(2)$ Wilson-Fisher conformal field theory (CFT) in $(2+1)$-dimensional spacetime at a quantum critical point. Here, we use the…

Strongly Correlated Electrons · Physics 2026-04-29 Arjun Dey , Loic Herviou , Christopher Mudry , Slava Rychkov , Andreas Martin Läuchli

Through coarse-graining, tensor network representations of a two-dimensional critical lattice model flow to a universal four-leg tensor, corresponding to a conformal field theory (CFT) fixed-point. We computed explicit elements of the…

High Energy Physics - Theory · Physics 2023-08-07 Atsushi Ueda , Masahito Yamazaki

We consider electrons in two dimensions in a strong magnetic field at half filling of the lowest Landau level using the Chern-Simons approach. Starting from a lattice Hamiltonian for the electrons, we derive a path integral (PI) formulation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Weller , J. Dietel , Th. Koschny , W. Apel

Using some modification of the standard fermion technique we derive factorized formula for spin operator matrix elements (form-factors) between general eigenstates of the Hamiltonian of quantum Ising chain in a transverse field of finite…

Statistical Mechanics · Physics 2011-12-05 N. Iorgov , V. Shadura , Yu. Tykhyy

Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in digital communication and storage systems. Hence, reducing the computational complexities of DFTs is of great significance. Recently proposed cyclotomic…

Information Theory · Computer Science 2015-05-19 Xuebin Wu , Meghanad Wagh , Ning Chen , Zhiyuan Yan , Ying Wang

We analyze conformal field theory 4-point functions of the form A ~ O_1(x_1) O_2(x_2) O_1(x_3) O_2(x_4), where the operators O_i are scalar primaries. We show that, in the Lorentzian regime, the limit x_1 -> x_3 is dominated by the exchange…

High Energy Physics - Theory · Physics 2008-10-06 Lorenzo Cornalba

We present a dispersion relation in conformal field theory which expresses the four point function as an integral over its single discontinuity. Exploiting the analytic properties of the OPE and crossing symmetry of the correlator, we show…

High Energy Physics - Theory · Physics 2020-05-20 Agnese Bissi , Parijat Dey , Tobias Hansen

We revisit the classic $O(N)$ symmetric scalar field theories in $d$ dimensions with interaction $(\phi^i \phi^i)^2$. For $2<d<4$ these theories flow to the Wilson-Fisher fixed points for any $N$. A standard large $N$ Hubbard-Stratonovich…

High Energy Physics - Theory · Physics 2014-08-13 Lin Fei , Simone Giombi , Igor R. Klebanov

We apply the method of the large spin bootstrap to analyse fermionic conformal field theories with weakly broken higher spin symmetry. Through the study of correlators of composite operators, we find the anomalous dimensions and OPE…

High Energy Physics - Theory · Physics 2018-02-14 Mark van Loon

We calculate the double pole contribution to two to four fermion scattering through $W^{\pm}$ currents at tree level in the Standard Model Effective Field Theory (SMEFT). We assume all fermions to be massless, $\rm U(3)^5$ flavour and $\rm…

High Energy Physics - Phenomenology · Physics 2017-07-18 Laure Berthier , Mikkel Bjørn , Michael Trott