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The Coupled-Cluster theory is one of the most successful high precision methods used to solve the stationary Schr\"odinger equation. In this article, we address the mathematical foundation of this theory with focus on the advances made in…

Chemical Physics · Physics 2019-09-04 Andre Laestadius , Fabian M. Faulstich

Light-cone quantization of gauge theories is discussed from two perspectives: as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and as a novel method for simulating quantum field theory…

High Energy Physics - Phenomenology · Physics 2010-12-13 Hans-Christian Pauli

Techniques for the field-theoretic calculation of a form factor are described and applied to a dressed-fermion state of a (3+1)-dimensional model Hamiltonian. Discrete light-cone quantization plays the crucial role as the means by which…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Hiller

We obtain the light-front wavefunctions for the nucleon in the valence quark Fock space from an effective Hamiltonian, which includes the transverse and longitudinal confinement and the one-gluon exchange interaction with fixed coupling.…

High Energy Physics - Phenomenology · Physics 2021-12-14 Chandan Mondal , Siqi Xu , Jiangshan Lan , Xingbo Zhao , Yang Li , Dipankar Chakrabarti , James P. Vary

We present a method to calculate small stationary fluctuations around static solutions describing bound states in a $(1+1)$-dimensional $\lambda \phi^{n+1}$ theory in a finite domain. We also calculate explicitly fluctuations for the…

High Energy Physics - Theory · Physics 2008-07-03 M. C. Gama , J. A. Espichán Carrillo , A. Maia

Light-cone perturbation theory is a powerful tool for calculating high-energy scattering amplitudes, particularly for quantum particles such as electrons, photons, or protons scattering off heavy nuclei, a process analogous to potential…

High Energy Physics - Phenomenology · Physics 2025-12-11 Stéphane Munier

We sketch an all order proof of cancellation of infrared (IR) divergences in Light Front Quantum Electrodynamics (LFQED) using a coherent state formalism. In this talk, it has been shown that the true IR divergences in fermion self energy…

High Energy Physics - Theory · Physics 2015-09-30 Jai More , Anuradha Misra

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

Cluster state plays a crucial role in the one-way quantum computation. Here, we propose and experimentally demonstrate a new scheme to prepare an ultrahigh-fidelity four-photon linear cluster state via spontaneous parametric down-conversion…

Quantum Physics · Physics 2016-10-12 Chao Zhang , Yun-Feng Huang , Bi-Heng Liu , Chuan-Feng Li , Guang-Can Guo

We have developed a Fock-space relativistic coupled-cluster theory based method for the calculation of electric dipole polarizability of one-valence atoms and ions. We employ this method to compute the ground-state and spin-orbit coupled…

Atomic Physics · Physics 2022-09-21 Ravi Kumar , D. Angom , B. K. Mani

Light-front QCD is studied by the method of flow equations. Dynamical gluon mass is generated, which evolves with the cut-off according to renormalization group equation. Eliminating by flow equations the quark gluon coupling with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Elena Gubankova

It is an important question whether the final/initial state gluonic interactions which lead to naive-time-reversal-odd single-spin asymmetries and diffraction at leading twist can be associated in a definite way with the light-front wave…

High Energy Physics - Phenomenology · Physics 2014-11-20 Stanley J. Brodsky , Barbara Pasquini , Bowen Xiao , Feng Yuan

We present an efficient implementation of four-component linear response coupled cluster singles and doubles (4c-LRCCSD) theory that enables accurate and computationally efficient calculation of polarizabilities for systems containing heavy…

Chemical Physics · Physics 2025-09-17 Sudipta Chakraborty , Amrita Manna , T. Daniel Crawford , Achintya Kumar Dutta

We have developed an all particle Fock-space relativistic coupled-cluster method for two-valence atomic systems. We then describe a scheme to employ the coupled-cluster wave function to calculate atomic properties. Based on these…

Atomic Physics · Physics 2011-01-11 B. K. Mani , D. Angom

The nuclear equation of state is explored with the constrained HFB approach for self conjugate nuclei. It is found that beyond a certain low, more or less universal density, those nuclei spontaneously cluster into A/4 alpha particles with A…

Nuclear Theory · Physics 2015-06-17 Michel Girod , Peter Schuck

Hamiltonian Truncation Methods are a useful numerical tool to study strongly coupled QFTs. In this work we present a new method to compute the exact corrections, at any order, in the Hamiltonian Truncation approach presented by Rychkov et…

High Energy Physics - Theory · Physics 2016-05-25 J. Elias-Miro , M. Montull , M. Riembau

We introduce a new method to include condensates in the light-cone Hamiltonian. By using a Gaussian approximation to the ordinary vacuum in a theory close to the light front, we derive an effective Hamiltonian on the light cone, which has…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. V. Prokhvatilov , H. W. L. Naus , H. --J. Pirner

We develop a truncated Hamiltonian method to investigate the dynamics of the $(1+1)d~\phi^4$ theory following quantum quenches. The results are compared to two different semi-classical approaches, the self-consistent Gaussian approximation…

Statistical Mechanics · Physics 2022-01-12 D. Szász-Schagrin , I. Lovas , G. Takács

We introduce a Green's function method for handling radiative effects on false vacuum decay. In addition to the usual thin-wall approximation, we achieve further simplification by treating the bubble wall in the planar limit. As an…

High Energy Physics - Theory · Physics 2015-06-03 Bjorn Garbrecht , Peter Millington

The relativistic coupled-cluster single-double method is used to calculate the dependence of frequencies of strong $E1$-transitions in many monovalent atoms and ions on the fine-structure constant $\alpha$. These transitions are used in the…

Atomic Physics · Physics 2009-11-13 V. A. Dzuba , W. R. Johnson
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