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We explore various estimators for the parameters of a pair-copula construction (PCC), among those the stepwise semiparametric (SSP) estimator, designed for this dependence structure. We present its asymptotic properties, as well as the…

统计理论 · 数学 2013-03-21 Ingrid Hobæk Haff

Recently, the interacting $\mathcal{N}=1$ superconformal higher-spin theory in four dimensions has been proposed within the induced action approach. In this paper we initiate a program of computing perturbative corrections to the…

高能物理 - 理论 · 物理学 2023-04-05 Sergei M. Kuzenko , James La Fontaine , Michael Ponds

Structural and computational understanding of tensors is the driving force behind faster matrix multiplication algorithms, the unraveling of quantum entanglement, and the breakthrough on the cap set problem. Strassen's asymptotic spectra…

计算复杂性 · 计算机科学 2023-04-20 Matthias Christandl , Vladimir Lysikov , Jeroen Zuiddam

Using the Schr\"odinger functional (SF) with a single staggered fermion field we calculate the SF coupling in four-flavour QCD for a wide range of energies and lattice sizes up to $L/a=16$. Preliminary results for the continuum…

高能物理 - 格点 · 物理学 2010-12-01 Paula Pérez-Rubio , Stefan Sint

We study representations of the Schr\"odinger algebra in terms of operators in nonrelativistic conformal field theories. We prove a correspondence between primary operators and eigenstates of few-body systems in a harmonic potential. Using…

高能物理 - 理论 · 物理学 2008-11-26 Yusuke Nishida , Dam T. Son

Chiral perturbation theory (ChPT) is a low-energy effective field theory of QCD and also a nonlinear sigma model based on the symmetry breaking pattern ${\rm SU}(N_f)\times {\rm SU}(N_f)\to {\rm SU}(N_f)$. In the limit of massless $N_f$…

高能物理 - 唯象学 · 物理学 2021-01-04 Lin Dai , Ian Low , Thomas Mehen , Abhishek Mohapatra

We identify the dominant computational cost within the recently introduced stochastic and internally contracted FCIQMC-NEVPT2 method for large active space sizes. This arises from the contribution to the four-body intermediates arising from…

化学物理 · 物理学 2020-10-05 James J. Halson , Robert J. Anderson , George H. Booth

We report on our first experiences with a mixed action setup with overlap valence quarks and non-perturbatively O(a) improved Wilson sea quarks. For the latter we employ CLS Nf=2 configurations with light sea quark masses at small lattice…

高能物理 - 格点 · 物理学 2011-06-01 Fabio Bernardoni , Nicolas Garron , Pilar Hernandez , Silvia Necco , Carlos Pena

Numerical Stochastic Perturbation Theory (NSPT) enables very high order computations in Lattice Gauge Theories. We report on the determination of the gluon condensate from lattice QCD measurements of the basic plaquette. This is a long…

高能物理 - 格点 · 物理学 2018-11-14 Luigi Del Debbio , Francesco Di Renzo , Gianluca Filaci

It has been observed in multiple lattice determinations of isovector axial and pseudoscalar nucleon form factors, that, despite the fact that the partial conservation of the axialvector current is fulfilled on the level of correlation…

高能物理 - 格点 · 物理学 2019-02-21 G. S. Bali , S. Collins , M. Gruber , A. Schäfer , P. Wein , T. Wurm

The calculation of work distributions in a quantum many-body system is of significant importance and also of formidable difficulty in the field of nonequilibrium quantum statistical mechanics. To solve this problem, inspired by…

统计力学 · 物理学 2020-07-01 Zhaoyu Fei , H. T. Quan

We describe the dynamics of a single fermion in a dispersionless band coupled to the 2+1 dimensional conformal field theory (CFT) describing the quantum phase transition of a bosonic order parameter with N components. The fermionic spectral…

强关联电子 · 物理学 2014-07-30 Andrea Allais , Subir Sachdev

This paper deals with the consistency and a rate of convergence for a Nadaraya-Watson estimator of the drift function of a stochastic differential equation driven by an additive fractional noise. The results of this paper are obtained via…

概率论 · 数学 2019-10-15 Fabienne Comte , Nicolas Marie

We apply analytic bootstrap techniques to the four-point correlator of fundamental fields in the Wilson-Fisher model. In an $\epsilon$-expansion crossing symmetry fixes the double discontinuity of the correlator in terms of CFT data at…

高能物理 - 理论 · 物理学 2018-08-15 Luis F. Alday , Johan Henriksson , Mark van Loon

We consider the $\mathcal{N}=4$ SYM theory with gauge group $Sp(N)$ and the $\mathcal{N}=2$ superconformal field theory consisting of four hypermultiplets in the fundamental representation and one hypermultiplet in the rank-two…

高能物理 - 理论 · 物理学 2026-02-09 Lorenzo De Lillo , Alessandro Pini

We compute the connected four point correlation function (the trispectrum in Fourier space) of cosmological density perturbations at one-loop order in Standard Perturbation Theory (SPT) and the Effective Field Theory of Large Scale…

宇宙学与河外天体物理 · 物理学 2016-07-06 Daniele Bertolini , Katelin Schutz , Mikhail P. Solon , Kathryn M. Zurek

We determine O($a$) boundary improvement coefficients up to 1-loop level for the Schr\"odinger Functional coupling with improved gauge actions including plaquette and rectangle loops. These coefficients are required to implement 1-loop…

高能物理 - 格点 · 物理学 2009-11-10 Shinji Takeda , Sinya Aoki , Kiyotomo Ide

We report on the determination of the improvement coefficient $c_{\rm A}$ for the non-singlet axial-vector current $A^{a}_{\mu}(x)$ in the framework of stabilised Wilson-Clover fermions within three flavour lattice QCD. This is done by…

高能物理 - 格点 · 物理学 2022-12-22 Patrick Fritzsch , Jochen Heitger , Justus T. Kuhlmann

Cluster Perturbation Theory (CPT) is a computationally economic method commonly used to estimate the momentum and energy resolved single-particle Green's function. It has been used extensively in direct comparisons with experiments that…

强关联电子 · 物理学 2020-02-20 P. T. Raum , G. Alvarez , Thomas Maier , V. W. Scarola

This talk describes the resummation approach in (Fractional) Analytic Perturbation Theory (FAPT) in QCD. First, we make a short historical review of the (F)APT approach and then shortly describe the global scheme of FAPT which allows one to…

高能物理 - 唯象学 · 物理学 2017-08-23 Alexander P. Bakulev