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We consider a general class of large $N$ vector-like theories in $d=2+1$ in a Hamiltonian approach. We show that by using lightcone quantization and the $N\to\infty$ limit, we can diagonalize the Hamiltonian exactly and construct the…

High Energy Physics - Theory · Physics 2025-07-31 A. Liam Fitzpatrick , Anastasiia Novikova , Noah Ring

It may be possible to derive a constituent approximation for bound states in QCD using hamiltonian light-front field theory. Cutoffs that violate explicit gauge invariance and Lorentz covariance must be employed. A similarity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Perry

A possible way of generating nonclassical states of light, especially non-Gaussian states, is via the truncation of a given state in the Fock basis. In recent work, we presented an alternative scheme for such quantum scissors [Phys. Rev. A…

Quantum Physics · Physics 2022-08-02 E. P. Mattos , A. Vidiella-Barranco

Light-Front Hamiltonian theory, derived from the quantization of the QCD Lagrangian at fixed light-front time \tau = t+z/c, provides a rigorous frame-independent framework for solving nonperturbative QCD. The eigenvalues of the light-front…

High Energy Physics - Theory · Physics 2015-06-17 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

This work is the first check of gauge invariance for nonperturbative calculations in light-front QED. To quantize QED in an arbitrary covariant gauge, we use a light-front analog of the equal-time Stueckelberg quantization. Combined with a…

High Energy Physics - Phenomenology · Physics 2011-08-12 S. S. Chabysheva , J. R. Hiller

Modified Laplace transformation method is applied to N component $\phi^4$ theory and the finite temperature problem in the massless limit is re-examined in the large N limit. We perform perturbation expansion of the dressed thermal mass in…

High Energy Physics - Theory · Physics 2016-09-06 Hirofumi Yamada

We apply a truncated set of dynamical equations of motion for connected equal-time Green functions up to the 4-point level to the investigation of spontaneous ground state symmetry breaking in $\Phi^4_{2+1}$ quantum field theory. Within our…

High Energy Physics - Theory · Physics 2016-09-06 Andreas Peter , Joern M. Haeuser , Markus H. Thoma , Wolfgang Cassing

In this paper, we compute multiparticle form factors of local operators in 2d $\phi^4$ theory using a recently proposed method [1] for efficiently implementing the LSZ prescription with Hamiltonian Truncation methods, and we adopt Lightcone…

High Energy Physics - Theory · Physics 2023-08-23 A. Liam Fitzpatrick , Zhengxian Mei

We present nonperturbative light-front energy eigenstates in the broken phase of a two dimensional $\frac{\lambda}{4!}\phi^4$ quantum field theory using Discrete Light Cone Quantization and extrapolate the results to the continuum limit. We…

High Energy Physics - Theory · Physics 2009-11-10 Dipankar Chakrabarti , A. Harindranath , Lubomir Martinovic , Grigorii B. Pivovarov , James P. Vary

In the light-front (LF) formulation of quantum field theory (QFT), physics is formulated from the perspective of a massless observer necessarily traveling at the speed of light. The LF formulation provides an alternative computational…

Quantum Physics · Physics 2026-03-20 Sam Alterman , Peter J. Love

We consider quantum electrodynamics quantized on the light front in Feynman gauge and regulated in the ultraviolet by the inclusion of massive, negative-metric Pauli--Villars (PV) particles in the Lagrangian. The eigenstate of the electron…

High Energy Physics - Phenomenology · Physics 2014-11-20 S. S. Chabysheva , J. R. Hiller

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

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

The numerical technique of discrete light-cone quantization (DLCQ) is applied to a single-fermion truncation of Yukawa theory in four dimensions. The truncated theory is regulated by three Pauli-Villars bosons, which are introduced directly…

High Energy Physics - Phenomenology · Physics 2009-10-31 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 propose to improve the convergence properties of the single-reference coupled cluster (CC) method through an augmented Lagrangian formalism. The conventional CC method changes a linear high-dimensional eigenvalue problem with exponential…

Computational Physics · Physics 2024-03-26 Fabian M. Faulstich , Yuehaw Khoo , Kangbo Li

We consider the possibility of performing linear optical quantum computation making use of extra photonic degrees of freedom. In particular we focus on the case where we use photons as quadbits. The basic 2-quadbit cluster state is a…

Quantum Physics · Physics 2015-05-13 Jaewoo Joo , Peter L. Knight , Jeremy L. O'Brien , Terry Rudolph

The central problem in electronic structure theory is the computation of the eigenvalues of the electronic Hamiltonian -- an unbounded, self-adjoint operator acting on a Hilbert space of antisymmetric functions. Coupled cluster (CC)…

Numerical Analysis · Mathematics 2023-01-30 Muhammad Hassan , Yvon Maday , Yipeng Wang

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

Canonical formulation of quantum field theory on the Light Front (LF) is reviewed. The problem of constructing the LF Hamiltonian which gives the theory equivalent to original Lorentz and gauge invariant one is considered. We describe…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Franke , Yu. V. Novozhilov , S. A. Paston , E. V. Prokhvatilov
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