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We analytically evaluate the Renyi entropies for the two dimensional free boson CFT. The CFT is considered to be compactified on a circle and at finite temperature. The Renyi entropies S_n are evaluated for a single interval using the two…

High Energy Physics - Theory · Physics 2014-04-15 Shouvik Datta , Justin R. David

We study the space of $2\to 2$ scattering amplitudes of neutral Goldstone bosons in four space-time dimensions. We establish universal bounds on the first two non-universal Wilson coefficients of the low energy Effective Field Theory (EFT)…

High Energy Physics - Theory · Physics 2023-10-12 Francesca Acanfora , Andrea Guerrieri , Kelian Häring , Denis Karateev

We have computed the correlated electronic structure of FeSe and its dependence on the A1g mode versus compression. Using the self-consistent density functional theory - dynamical mean field theory (DFT-DMFT) with continuous time quantum…

Superconductivity · Physics 2015-06-18 Subhasish Mandal , R. E. Cohen , K. Haule

This paper initiates the study of the conformal field theory of the SLE$_\kappa$ loop measure $\nu$ for $\kappa\in(0,4]$, the range where the loop is almost surely simple. First, we construct two commuting representations…

Probability · Mathematics 2024-09-26 Guillaume Baverez , Antoine Jego

We study the dynamics of (R\'enyi) mutual information, logarithmic negativity, and (R\'enyi) reflected entropy after exciting the ground state by a local operator. Together with recent results from Ref. [1], we are able to conjecture a…

High Energy Physics - Theory · Physics 2021-03-31 Jonah Kudler-Flam , Yuya Kusuki , Shinsei Ryu

Time-dependent entanglement entropy (EE) is computed for a single interval in two-dimensional conformal theories from a quenched initial state in the presence of spatial boundaries. The EE is found to be periodic in time with periodicity…

High Energy Physics - Theory · Physics 2016-04-28 Gautam Mandal , Ritam Sinha , Tomonori Ugajin

In this paper, we propose a novel expansion to compute the large interval limit of the R\'enyi entropy of 2D CFT at high temperature. Via the replica trick, the single interval R\'enyi entropy of 2D CFT at finite temperature could be read…

High Energy Physics - Theory · Physics 2015-12-16 Bin Chen , Jie-qiang Wu

We derive several new results for Renyi entropy, $S_n$, across generic entangling surfaces. We establish a perturbative expansion of the Renyi entropy, valid in generic quantum field theories, in deformations of a given density matrix. When…

High Energy Physics - Theory · Physics 2015-06-22 Aitor Lewkowycz , Eric Perlmutter

The soft wall AdS/QCD holographic model provides simple estimates for the spectra of light mesons and glueballs satisfying linear Regge trajectories. It is also an interesting tool to represent the confinement/deconfinement transition of a…

High Energy Physics - Theory · Physics 2021-07-07 Nelson R. F. Braga , Octavio C. Junqueira

We study asymptotics of three point coefficients (light-light-heavy) and two point correlators in heavy states in unitary, compact $2$D CFTs. We prove an upper and lower bound on such quantities using numerically assisted Tauberian…

High Energy Physics - Theory · Physics 2021-05-19 Diptarka Das , Yuya Kusuki , Sridip Pal

We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE coefficients, including bounds on operators in mixed…

High Energy Physics - Theory · Physics 2019-02-19 Denis Karateev , Petr Kravchuk , Marco Serone , Alessandro Vichi

In this paper, we study the entanglement entropy in a large class of states of two-dimensional conformal field theory in the the large central charge limit. This class of states includes the states created by the insertion of a finite…

High Energy Physics - Theory · Physics 2016-09-21 Bin Chen , Jie-qiang Wu

We revisit the space of gapped quantum field theories with a global O(N) symmetry in two spacetime dimensions. Previous works using S-matrix bootstrap revealed a rich space in which integrable theories such as the non-linear sigma model…

High Energy Physics - Theory · Physics 2023-11-07 Lucia Cordova , Miguel Correia , Alessandro Georgoudis , Antoine Vuignier

We consider the one-dimensional XY quantum spin chain in a transverse magnetic field. We are interested in the Renyi entropy of a block of L neighboring spins at zero temperature on an infinite lattice. The Renyi entropy is essentially the…

Quantum Physics · Physics 2010-02-16 F. Franchini , A. R. Its , V. E. Korepin

Entanglement and the R\'enyi entropies for Dirac fermions on 2 dimensional torus in the presence of chemical potential, current source, and topological Wilson loop are unified in a single framework by exhausting all the ingredients of the…

High Energy Physics - Theory · Physics 2022-01-19 Bom Soo Kim

We consider the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) which presents an internal $U(1)$ symmetry. We calculate various symmetry resolved R\'enyi relative…

High Energy Physics - Theory · Physics 2021-07-15 Hui-Huang Chen

In this paper, we first study the consequence of spacetime translations and Lorentz transformations on Celestial CFT OPEs. Working with the light transforms of the operators belonging to the modified Mellin basis, we found that the leading…

High Energy Physics - Theory · Physics 2024-12-31 Sourish Banerjee , Rudranil Basu , Sayali Atul Bhatkar

We develop a systematic approach to compute the subsystem trace distances and relative entropies for subsystem reduced density matrices associated to excited states in different symmetry sectors of a 1+1 dimensional conformal field theory…

High Energy Physics - Theory · Physics 2022-04-01 Luca Capizzi , Pasquale Calabrese

In this letter we show that the R\'enyi entanglement entropy of a region of large size $\ell$ in a one-dimensional critical model whose ground state breaks conformal invariance (such as in those described by non-unitary conformal field…

High Energy Physics - Theory · Physics 2015-06-19 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon , Emanuele Levi , Francesco Ravanini

The conformal bootstrap hypothesis is a powerful idea in theoretical physics which has led to spectacular predictions in the context of critical phenomena. It postulates an explicit expression for the correlation functions of a conformal…

Probability · Mathematics 2020-11-12 Colin Guillarmou , Antti Kupiainen , Rémi Rhodes , Vincent Vargas