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This short review summarizes recent developments and results in connection with point-form dynamics of relativistic quantum systems. We discuss a Poincare invariant multichannel formalism which describes particle production and annihilation…

Nuclear Theory · Physics 2011-03-07 Elmar P. Biernat , William H. Klink , Wolfgang Schweiger

We address problems associated with compactification near and on the light front. In perturbative scalar field theory we illustrate and clarify the relationships among three approaches: (1) quantization on a space-like surface close to a…

High Energy Physics - Theory · Physics 2009-10-31 A. Harindranath , L. Martinovic , J. P. Vary

In the light-front milieu, there is an implicit assumption that the vacuum is trivial. By this " triviality " is meant that the Fock space of solutions for equations of motion is sectorized in two, one of positive energy k- and the other of…

High Energy Physics - Theory · Physics 2007-05-23 J. H. O. Sales , A. T. Suzuki

The work contains a detailed investigation of free neutral (Hermitian) or charged (non-Hermitian) scalar fields and the describing them (system of) Klein-Gordon equation(s) in momentum picture of motion. A form of the field equation(s) in…

High Energy Physics - Theory · Physics 2007-05-23 Bozhidar Z. Iliev

Within the covariant formulation of light-front dynamics, we calculate the state vector of a fermion coupled to identical scalar bosons (the Yukawa model). The state vector is decomposed in Fock sectors and we consider the first three ones:…

High Energy Physics - Phenomenology · Physics 2009-02-19 J. -F. Mathiot , V. A. Karmanov , A. V. Smirnov

We extend earlier work on fully symmetric polynomials for three-boson wave functions to arbitrarily many bosons and apply these to a light-front analysis of the low-mass eigenstates of $\phi^4$ theory in 1+1 dimensions. The basis-function…

High Energy Physics - Phenomenology · Physics 2016-05-25 S. S. Chabysheva

My thesis contains an introduction to Light-front Hamiltonian field theory and updates of published articles: - "Equivalence of Covariant and Light-Front Perturbation Theory" (hep-ph/9702311 and hep-ph/9806365, N. C. J. Schoonderwoerd and…

High Energy Physics - Phenomenology · Physics 2009-09-25 Nico Schoonderwoerd

The relationship between the perturbation theory in light-front coordinates and Lorentz-covariant perturbation theory is investigated. A method for finding the difference between separate terms of the corresponding series without their…

High Energy Physics - Theory · Physics 2008-11-26 S. A. Paston , V. A. Franke

In the first part of my lectures, I will use the example of deep-inelastic scattering to explain why light-front coordinates play a distinguished role in many high energy scattering experiments. After a brief introduction into the concept…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Burkardt

We study the radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach, and investigate the effects of using different current component and different reference frames. In practical calculations…

Nuclear Theory · Physics 2020-11-03 Meijian Li

The electromagnetic elastic form factors of pseudoscalar and vector mesons are analyzed for space-like momentum transfers in terms of relativistic quark models based on the Hamiltonian light-front formalism elaborated in different reference…

Nuclear Theory · Physics 2009-11-07 Silvano Simula

A light-front Hamiltonian reproducing the results of two-dimensional quantum electrodynamics in the Lorentz coordinates is constructed using the bosonization procedure and an analysis of the bosonic perturbation theory in all orders in the…

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

Light-front dynamics can only become a viable alternative to the covariant approach if doubts about its covariance can be taken away. As a minimal requirement we take that the physical quantities calculated with light-front perturbation…

High Energy Physics - Phenomenology · Physics 2010-11-19 N. C. J. Schoonderwoerd , B. L. G. Bakker

The field theory quantized on the {\it light-front} is compared with the conventional equal-time quantized theory. The arguments based on the {\it microcausality} principle imply that the light-front field theory may become nonlocal with…

High Energy Physics - Theory · Physics 2007-05-23 Prem P. Srivastava

The light-front quantization of gauge theories in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitary, and a trivial vacuum. The…

High Energy Physics - Theory · Physics 2015-06-26 Stanley J. Brodsky

Within the framework of the Covariant formulation of Light-Front Dynamics, we develop a general non-perturbative renormalization scheme based on the Fock decomposition of the state vector and its truncation. The explicit dependence of our…

High Energy Physics - Theory · Physics 2009-11-11 J. -F. Mathiot , V. A. Karmanov , A. V. Smirnov

We use the light front ``machinery'' to study the behavior of a relativistic free particle and obtain the quantum commutation relations from the classical Poisson brackets. We argue that their usual projection onto the light-front…

High Energy Physics - Theory · Physics 2007-05-23 A. T. Suzuki , J. H. O. Sales , G. E. R. Zambrano

We develop a method by which vacuum transitions may be included in light-front calculations. This allows tadpole contributions which are important for symmetry-breaking effects and yet are missing from standard light-front calculations.…

High Energy Physics - Theory · Physics 2022-06-22 Sophia S. Chabysheva , John R. Hiller

We study the quantization of a linear scalar field, whose symmetries are described by the kappa-Poincare' Hopf-algebra, via deformed Fock space construction. The one-particle sector of the theory exhibits a natural (planckian) cut-off for…

High Energy Physics - Theory · Physics 2008-11-26 Michele Arzano , Antonino Marciano

Hamiltonian light-front dynamics of quantum fields may provide a useful approach to systematic non-perturbative approximations to quantum field theories. We investigate inequivalent Hilbert-space representations of the light-front field…

Nuclear Theory · Physics 2010-11-01 F. Coester , W. Polyzou