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We study the $D$-dimensional high-density correlation energy $\Ec$ of the singlet ground state of two electrons confined by a harmonic potential with Coulombic repulsion. We allow the harmonic potential to be anisotropic, and examine the…

Chemical Physics · Physics 2011-09-27 Yan Zhao , Pierre-François Loos , Peter M. W. Gill

We introduce a new paradigm for finite and infinite strict-one-dimensional uniform electron gases. In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. In the high-density limit (small-$r_s$, where…

Strongly Correlated Electrons · Physics 2012-08-15 Pierre-François Loos , Peter M. W. Gill

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

A Hartree-Fock and Hartree-Fock-Bogoliubov study of a few body system of spatially separated charge carriers was carried out. Using these variational states, we compute an approximation to the correlation energy of a finite system of…

Mesoscale and Nanoscale Physics · Physics 2009-11-30 Ian Mondragon-Shem , Francisco E. Lopez , Boris A. Rodriguez

The nucleon energy-energy correlator (NEEC) was proposed in 2209.02080 as a new way of studying nucleon intrinsic dynamics. In this work, we present a detailed derivation of the factorization theorem that enables the measurement of the…

High Energy Physics - Phenomenology · Physics 2023-03-06 Haotian Cao , Xiaohui Liu , Hua Xing Zhu

For $6D$, ${\cal N}=(1,1)$ SYM theory formulated in ${\cal N}=(1,0)$ harmonic superspace as a theory of interacting gauge multiplet and hypermultiplet we construct the ${\cal N}=(1,1)$ supersymmetric Heisenberg-Euler-type superfield…

High Energy Physics - Theory · Physics 2020-04-22 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin

We present an explicit momentum space computation of the four-point function of the energy-momentum tensor in 4 spacetime dimensions for the free and conformally invariant theory of a scalar field. The result is obtained by explicit…

High Energy Physics - Theory · Physics 2020-08-26 Mirko Serino

The projected energy correlator measures the energy deposited in multiple detectors as a function of the largest angular distance $x_L = (1 - \cos\chi_L)/2$ between detectors. The collinear limit $x_L\to 0$ of the projected energy…

High Energy Physics - Phenomenology · Physics 2023-07-17 Wen Chen , Jun Gao , Yibei Li , Zhen Xu , Xiaoyuan Zhang , Hua Xing Zhu

We study scalar conformal field theories whose large $N$ spectrum is fixed by the operator dimensions of either Ising model or Lee-Yang edge singularity. Using numerical bootstrap to study CFTs with $S_N\otimes Z_2$ symmetry, we find a…

High Energy Physics - Theory · Physics 2018-10-17 Junchen Rong , Ning Su

We extend the cosmological bootstrap to correlators involving massless particles with spin. In de Sitter space, these correlators are constrained both by symmetries and by locality. In particular, the de Sitter isometries become conformal…

High Energy Physics - Theory · Physics 2021-09-29 Daniel Baumann , Carlos Duaso Pueyo , Austin Joyce , Hayden Lee , Guilherme L. Pimentel

The extended Linear Sigma Model (eLSM) is an effective hadronic model based on the linear realization of chiral symmetry $SU(N_f)_L \times SU(N_f)_R$, with (pseudo)scalar and (axial-)vector mesons as degrees of freedom. In this paper, we…

High Energy Physics - Phenomenology · Physics 2016-05-18 Florian Divotgey , Peter Kovacs , Francesco Giacosa , Dirk H. Rischke

Unitary conformal field theories (CFTs) are believed to have positive (non-negative) energy correlators. Energy correlators are universal observables in higher-dimensional CFTs built out of integrated Wightman functions of the stress-energy…

High Energy Physics - Theory · Physics 2015-06-15 Alexander Zhiboedov

We investigate the partonic origin of the proton longitudinal spin using spin-dependent energy correlators measured in lepton-hadron collisions with longitudinally polarized proton beams. These observables encode angular correlations in…

High Energy Physics - Phenomenology · Physics 2026-05-19 Jun Gao , Hai Tao Li , Yu Jiao Zhu

We study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension $2\leq d\leq 4$. We show how superconformal algebras with four Poincar\'{e}…

High Energy Physics - Theory · Physics 2015-09-04 Nikolay Bobev , Sheer El-Showk , Dalimil Mazac , Miguel F. Paulos

The conformal bootstrap is applied to percolation and dilute self-avoiding polymers, two theories with Virasoro central charge $c=0$ in two dimensions. In both cases we propose a spectrum of operators motivated by Virasoro symmetry which is…

High Energy Physics - Theory · Physics 2019-01-03 Andre LeClair , Joshua Squires

Integrated correlator of four superconformal stress-tensor primaries in $SU(N)$ $\mathcal{N}=4$ super Yang-Mills (SYM) theory in the perturbative limit takes a remarkably simple form, where the $L$-loop coefficient is given by a rational…

High Energy Physics - Theory · Physics 2024-10-21 Shun-Qing Zhang

We derive the planar dilatation operator in the closed subsector of scalar composite operators of an N=2 superconformal quiver gauge theory to three loops. By tuning the ratio of its two gauge couplings we interpolate between a Z_2 orbifold…

High Energy Physics - Theory · Physics 2011-05-19 Elli Pomoni , Christoph Sieg

The evaluation of field theoretic correlators at strong couplings is especially interesting in the light of recently discovered string/field theory correspondences. We present a calculation of the stress-tensor correlator in N=1 SYM theory…

High Energy Physics - Theory · Physics 2009-11-07 U. Trittmann

We investigate the energy-energy correlator (EEC) of hadrons produced on the same side in $e^+e^-$ annihilation or in leading jets in $pp$ collisions. We observe a remarkable universality of the correlator. Using a non-perturbative…

High Energy Physics - Phenomenology · Physics 2024-10-29 Xiaohui Liu , Werner Vogelsang , Feng Yuan , Hua Xing Zhu

We investigate the collinear limit of the energy-energy correlator (EEC) in a heavy-ion context. First, we revisit the leading-logarithmic (LL) resummation of this observable in vacuum following a diagrammatic approach. We argue that this…

High Energy Physics - Phenomenology · Physics 2023-12-25 João Barata , Paul Caucal , Alba Soto-Ontoso , Robert Szafron