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We show, within the framework of the Euclidean $\phi^4$-quantum field theory in four dimensions, that the Wilson operator product expansion (OPE) is not only an asymptotic expansion at short distances as previously believed, but even…

High Energy Physics - Theory · Physics 2015-05-28 Stefan Hollands , Christoph Kopper

We reconsider the computation of the entanglement entropy of two disjoint intervals in a (1+1) dimensional conformal field theory by conformal block expansion of the 4-point correlation function of twist fields. We show that accurate…

Statistical Mechanics · Physics 2019-03-26 Paola Ruggiero , Erik Tonni , Pasquale Calabrese

We propose a new method to efficiently compute the entanglement entropy (EE) of quantum many-body systems. Our approach, called the incremental SWAP operator method , combines the simplicity of the SWAP operator used in projector quantum…

Strongly Correlated Electrons · Physics 2024-04-04 Xuan Zhou , Zi Yang Meng , Yang Qi , Yuan Da Liao

We study perturbative and instanton corrections to the Operator Product Expansion of the lowest weight Chiral Primary Operators of N=4 SYM_4. We confirm the recently observed non-renormalization of various operators (notably of the…

High Energy Physics - Theory · Physics 2008-11-26 G. Arutyunov , S. Frolov , A. C. Petkou

We give a recipe for computing correlation functions of the displacement operator localized on a spherical or planar higher dimensional twist defect using AdS/CFT. Such twist operators are typically used to construct the $n$'th Renyi…

High Energy Physics - Theory · Physics 2017-09-06 Srivatsan Balakrishnan , Souvik Dutta , Thomas Faulkner

We extend first-order multiconfigurational symmetry-adapted perturbation theory, SAPT(MC), [Hapka M. et al. JCTC, 2021, 17], to account for double-exchange effects, where up to two electron pairs are exchanged between interacting monomers.…

Chemical Physics · Physics 2025-04-21 Dominik Cieśliński , Michał Przybytek , Grzegorz Chałasiński , Michał Hapka

We establish conceptually important properties of the operator product expansion (OPE) in the context of perturbative, Euclidean $\varphi^{4}$-quantum field theory. First, we demonstrate, generalizing earlier results and techniques of…

Mathematical Physics · Physics 2013-11-25 Jan Holland , Stefan Hollands

Understanding the spreading of the operator space entanglement entropy ($OSEE$) is key in order to explore out-of-equilibrium quantum many-body systems. Here we argue that for integrable models the dynamics of the $OSEE$ is related to the…

Statistical Mechanics · Physics 2021-09-14 Vincenzo Alba

We derive constraints on the operator product expansion of two stress tensors in conformal field theories (CFTs), both generic and holographic. We point out that in large $N$ CFTs with a large gap to single-trace higher spin operators, the…

High Energy Physics - Theory · Physics 2018-08-15 David Meltzer , Eric Perlmutter

In this work, we study the real-time evolution of pseudo-(R\'enyi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs). We focus on states obtained by acting primary operators located at…

High Energy Physics - Theory · Physics 2022-09-28 Wu-zhong Guo , Song He , Yu-Xuan Zhang

Correlators of unitary quantum field theories in Lorentzian signature obey certain analyticity and positivity properties. For interacting unitary CFTs in more than two dimensions, we show that these properties impose general constraints on…

High Energy Physics - Theory · Physics 2020-12-30 Sandipan Kundu

We use holographic duality to study the entanglement entropy (EE) of Conformal Field Theories (CFTs) in various spacetime dimensions $d$, in the presence of various deformations: a relevant Lorentz scalar operator with constant source, a…

High Energy Physics - Theory · Physics 2017-11-22 Nikola I. Gushterov , Andy O'Bannon , Ronnie Rodgers

In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its…

High Energy Physics - Theory · Physics 2017-05-30 Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe

We present an algorithm for constructing the Wilson operator product expansion (OPE) for perturbative interacting quantum field theory in general Lorentzian curved spacetimes, to arbitrary orders in perturbation theory. The remainder in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands

We develop a new technique, based on a low-energy theorem (LET) of NSVZ type derived in arXiv:1701.07833, for the nonperturbative investigation of SU(N) QCD with N${}_f$ massless quarks - or, more generally, of massless QCD-like theories -…

High Energy Physics - Theory · Physics 2022-07-01 Marco Bochicchio , Elisabetta Pallante

Here we report on fabrication and low temperature magnetotransport measurements of quantum point contacts patterned from a novel two-dimensional electron system - CdTe/CdMgTe modulation doped heterostructure. From the temperature and bias…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 M. Czapkiewicz , V. Kolkovsky , P. Nowicki , M. Wiater , T. Wojciechowski , T. Wojtowicz , J. Wróbel

We study the operator product expansion (OPE) limit of correlation functions in field theories which possess string theory duals, from the point of view of the string worldsheet. We show how the interesting ("single-trace") terms in the OPE…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Zohar Komargodski

While electrowetting has many applications, it is limited at large voltages by contact angle saturation - a phenomenon that is still not well understood. We propose a generalized approach for electrowetting that, among other results, can…

Soft Condensed Matter · Physics 2015-03-18 Dan Klarman , David Andelman , Michael Urbakh

Thermal contact is the archetype of non-equilibrium processes driven by constant non-equilibrium constraints enforced by reservoirs exchanging conserved microscopic quantities. In models with a finite number of possible configurations, if…

Statistical Mechanics · Physics 2015-05-06 Françoise Cornu , Michel Bauer

We study a product of null-integrated local operators $\mathcal{O}_1$ and $\mathcal{O}_2$ on the same null plane in a CFT. Such null-integrated operators transform like primaries in a fictitious $d-2$ dimensional CFT in the directions…

High Energy Physics - Theory · Physics 2020-10-13 Cyuan-Han Chang , Murat Kologlu , Petr Kravchuk , David Simmons-Duffin , Alexander Zhiboedov
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