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We calculate parton and generalized parton distributions in Minkowski space using a scalar propagator with a pair of complex conjugate poles. Correct spectral and support properties are obtained only after careful analytic continuation from…

高能物理 - 唯象学 · 物理学 2009-11-10 B. C. Tiburzi , W. Detmold , G. A. Miller

Spectral densities connect correlation functions computed in quantum field theory to observables measured in experiments. For strongly-interacting theories, their non-perturbative determinations from lattice simulations are therefore of…

高能物理 - 格点 · 物理学 2024-07-08 Mattia Bruno , Leonardo Giusti , Matteo Saccardi

We study the fluctuations of the stress tensor for a massless scalar field in two and four-dimensional Minkowski spacetime in the vacuum state. Covariant expressions for the stress tensor correlation function are obtained as sums of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 L. H. Ford , Thomas A. Roman

A two-dimensional Minkowski spacetime diagram is neatly represented on a Euclidean ordinary plane. However the Euclidean lengths of the lines on the diagram do not correspond to the true values of physical quantities in spacetime, except…

综合物理 · 物理学 2007-06-15 Nilton Penha , Bernhard Rothenstein , Doru Paunescu

We generalize some results of Ford and Roman constraining the possible behaviors of renormalized expected stress-energy tensors of a free massless scalar field in two dimensional Minkowski spacetime. Ford and Roman showed that the energy…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Eanna E. Flanagan

We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential…

高能物理 - 理论 · 物理学 2023-07-12 Federico Gasparotto , Stefan Weinzierl , Xiaofeng Xu

In quantum field theories, spectral densities are directly related to relevant physical observables. In Lattice QCD, their non-perturbative extraction from first principles requires the Inverse Laplace transform of Euclidean-time…

高能物理 - 格点 · 物理学 2025-01-29 Matteo Saccardi , Mattia Bruno , Leonardo Giusti

In this letter we discuss the analyticity properties of the Wilson-loop correlation functions relevant to the problem of soft high-energy scattering, directly at the level of the functional integral, in a genuinely nonperturbative way. The…

高能物理 - 唯象学 · 物理学 2014-11-18 M. Giordano , E. Meggiolaro

In principle, many-electron correlation energy can be precisely computed from a reduced Wigner distribution function ($\mathcal{W}$) thanks to a universal functional transformation ($\mathcal{F}$), whose formal existence is akin to that of…

化学物理 · 物理学 2019-01-23 Rutvij Vihang Bhavsar , Raghunathan Ramakrishnan

We present a novel method to determine on the lattice both the real and imaginary parts of complex electroweak amplitudes involving two external currents and a single hadron or the QCD vacuum in the external states. The method is based on…

高能物理 - 格点 · 物理学 2023-06-13 R. Frezzotti , G. Gagliardi , V. Lubicz , F. Sanfilippo , S. Simula , N. Tantalo

In this paper we consider some analytic properties of the high--energy quark--quark scattering amplitude, which, as is well known, can be described by the expectation value of two lightlike Wilson lines, running along the classical…

高能物理 - 理论 · 物理学 2007-05-23 Enrico Meggiolaro

In this paper the problem of high-energy hadron-hadron (dipole-dipole) scattering is approached (for the first time) from the point of view of lattice QCD, by means of Monte Carlo numerical simulations. In the first part, we give a brief…

高能物理 - 格点 · 物理学 2010-05-12 M. Giordano , E. Meggiolaro

Spectral weight functions are easily obtained from two-point correlation functions and they might be used to distinguish single-particle from multi-particle states in a finite-volume lattice calculation, a problem crucial for many lattice…

高能物理 - 格点 · 物理学 2014-11-21 Zhi-Yuan Niu , De-Chuan Du , Bao-Zhong Guo , Ning Li , Chuan Liu , Hang Liu

We determine generally the spinor Green's function and the twisted spinor Green's function in an Euclidean space with a conical-type line singularity. In particular, in the neighbourhood of the point source, we expree them as a sum of the…

广义相对论与量子宇宙学 · 物理学 2009-10-22 B. Linet

Hadronic spectral densities play a pivotal role in particle physics, a prime example being the R-ratio defined from electron-positron scattering into hadrons. To predict them from first principles using Lattice QCD, we face a numerically…

高能物理 - 格点 · 物理学 2024-01-15 Mattia Bruno , Leonardo Giusti , Matteo Saccardi

Ground state energies and on-site density-density correlations are calculated for the 1-D Hubbard model using a linear combination of the Hubbard projection operators. The mean-field coefficients in the resulting linearized Equations of…

凝聚态物理 · 物理学 2009-10-22 J. C. Hicks , J. Tinka Gammel

It is known that the high-energy quark-quark scattering amplitude can be described by the expectation value of two lightlike Wilson lines, running along the classical trajectories of the two colliding particles. Generalizing the results of…

高能物理 - 理论 · 物理学 2011-09-13 Enrico Meggiolaro

A novel application of lattice QCD spectral reconstruction is presented, in which euclidean correlation function data in a fixed time range are used to infer values outside the range, enabling a model-independent investigation of the…

高能物理 - 格点 · 物理学 2023-11-13 John Bulava

We explore the new technique developed recently in \cite{Rosenhaus:2014woa} and suggest a correspondence between the $N$-point correlation functions on spacetime with conical defects and the $(N+1)$-point correlation functions in regular…

高能物理 - 理论 · 物理学 2015-06-19 Michael Smolkin , Sergey N. Solodukhin

Representing an atom by a solid sphere in $3$-dimensional Euclidean space, we get the space-filling diagram of a molecule by taking the union. Molecular dynamics simulates its motion subject to bonds and other forces, including the…

计算几何 · 计算机科学 2020-06-23 Arseniy Akopyan , Herbert Edelsbrunner
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