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We prove existence of solutions of the vacuum Einstein equations with initial data induced by a smooth metric on a light-cone.

General Relativity and Quantum Cosmology · Physics 2012-09-11 Piotr T. Chruściel

We show how to prescribe the initial data of a characteristic problem satisfying the costraints, the smallness, the regularity and the asymptotic decay suitable to prove a global existence result. In this paper, the first of two, we show in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giulio Caciotta , Francesco Nicolò

The analysis of optical images of galaxy-galaxy strong gravitational lensing systems can provide important information about the distribution of dark matter at small scales. However, the modeling and statistical analysis of these images is…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-30 Adam Coogan , Konstantin Karchev , Christoph Weniger

Compact canonical quantization on the light cone (DLCQ) is examined in the limit of infinite periodicity lenth L. Pauli Jordan commutators are found to approach continuum expressions with marginal non causal terms of order $L^{-3/4}$ traced…

High Energy Physics - Theory · Physics 2016-08-25 S. Salmons , P. Grange , E. Werner

Radiation of relativistic charged particles in a system of randomly spaced plates is considered in the paper. It is shown that for large number of plates ($N \gg 1$), in the wavelength range $\lambda \ll l\ll L$ (where $l$ is the photon…

Classical Physics · Physics 2009-10-30 Zhirair S. Gevorkian

We present a relativistic formulation of noncommutative mechanics were the object of noncommutativity $\theta^{\mu\nu}$ is considered as an independent quantity. Its canonical conjugate momentum is also introduced, what permits to obtain an…

High Energy Physics - Theory · Physics 2010-05-25 R. Amorim , E. M. C. Abreu , W. G. Ramirez

We present generalized parton distributions for weakly bound systems on the light cone in order to build intuition about the light-front formalism. Physics at the crossover is reviewed in terms of the light-cone Fock space representation.…

High Energy Physics - Phenomenology · Physics 2017-08-23 B. C. Tiburzi

We compute the high-dimensional limit of the free energy associated with a multi-layer generalized linear model. Under certain technical assumptions, we identify the limit in terms of a variational formula. The approach is to first show…

Probability · Mathematics 2021-08-31 Hong-Bin Chen , Jiaming Xia

We analyze the residual gauge freedom in light-cone electromagnetism in four dimensions. The standard boundary conditions involved in the so-called $lc_2$ formalism, which contains only the two physical degrees of freedom, allow for a…

High Energy Physics - Theory · Physics 2023-03-22 Sucheta Majumdar

We investigate the generalized Gross-Neveu model using the discretized light cone quantization and we find that the vacuum of the bare theory is {\sl non} trivial in presence of vectorial current coupling when the simplest and most natural…

High Energy Physics - Theory · Physics 2015-06-26 Igor Pesando

The Dirac procedure for dealing with constraints is applied to the quantization of gauge theories on the light front. The light cone gauge is used in conjunction with the first class constraints that arise and the resulting Dirac brackets…

High Energy Physics - Theory · Physics 2016-05-25 D. G. C. McKeon , Chenguang Zhao

In this set of four lectures, we provide an elementary introduction to light cone field theory and some of its applications in high energy scattering.

Nuclear Theory · Physics 2009-10-31 Raju Venugopalan

In locally interacting quantum many-body systems, the velocity of information propagation is finitely bounded and a linear light cone can be defined. Outside the light cone, the amount of information rapidly decays with distance. When…

Quantum Physics · Physics 2020-07-15 Tomotaka Kuwahara , Keiji Saito

We review our recent proposals to dimensionally regularize the light-cone gauge string field theory.

High Energy Physics - Theory · Physics 2011-05-27 Nobuyuki Ishibashi , Koichi Murakami

We propose a phenomenological generalisation of the standard model with only one extra degree of freedom that parametrises the evolution of a scalar field responsible for the cosmic acceleration. The model also foresees an additional…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-06 Vitor da Fonseca , Tiago Barreiro , Nelson J. Nunes

In recent years light-cone quantization of quantum field theory has emerged as a promising method for solving problems in the strong coupling regime. This approach has a number of unique features that make it particularly appealing, most…

High Energy Physics - Theory · Physics 2007-05-23 Stephen S. Pinsky

We propose a relativistic version of the cosmological principle and confront it to the Hubble diagram of supernovae and other probes.

Cosmology and Nongalactic Astrophysics · Physics 2012-10-05 Andre Tilquin , Thomas Schucker

We revise the problem of the quantization of relativistic particle, presenting a modified consistent canonical scheme, which allows one not only to include arbitrary backgrounds in the consideration but to get in course of the quantization…

High Energy Physics - Theory · Physics 2010-04-06 S. P. Gavrilov , D. M. Gitman

We discuss the light-cone quantization of gauge theories as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and also as a novel method for simulating quantum field theory on a computer.…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Brodsky , H-C Pauli , S. Pinsky

We explain in a very concise way the basic principles that lead from Galilean to General Relativity to make them understandable to students or general audience, even with little knowledge in physics and mathematics.

Popular Physics · Physics 2015-11-25 Stephane Fay