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Commutation or anticommutation relations quantized at equal instant time and commutation or anticommutation relations quantized at equal light-front time not only cannot be transformed into each other, they take completely different forms.…

High Energy Physics - Phenomenology · Physics 2020-07-29 Philip D. Mannheim

We compare light-front quantization and instant-time quantization both at the level of operators and at the level of their Feynman diagram matrix elements. At the level of operators light-front quantization and instant-time quantization…

High Energy Physics - Phenomenology · Physics 2020-09-01 Philip D. Mannheim , Peter Lowdon , Stanley J. Brodsky

A simple exposition of the rarely discussed fact that a set of free boson fields describing different, i.e. kinematically different particle types can be quantized with mutual anticommutation relations is given by the explicit construction…

Mathematical Physics · Physics 2016-07-15 Andreas Aste , Won Sang Chung

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

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

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 the usual projection onto the light-front coordinates for…

High Energy Physics - Theory · Physics 2009-11-10 J. H. O. Sales , A. T. Suzuki , G. E. R. Zambrano

There is a discrepancy between light-front and equal-time values for the critical coupling of two-dimensional $\phi^4$ theory. A proposed resolution is to take into account the difference between mass renormalizations in the two…

High Energy Physics - Theory · Physics 2017-04-05 S. S. Chabysheva

In this paper, we study the question of quantization of quantum field theories in a general light-front frame. We quantize scalar, fermion as well as gauge field theories in a systematic manner carrying out the Hamiltonian analysis…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Silvana Perez

In this paper we discuss the relation between the standard covariant quantum field theory and light-front field theory. We define covariant theory by its Feynman diagrams, whereas light-front field theory is defined in terms of light-cone…

High Energy Physics - Phenomenology · Physics 2009-10-28 N. E. Ligterink , B. L. G. Bakker

We revisit the problem of quantizing field theories on noncommutative Moyal spacetime with \emph{light-like} noncommutativity. To tackle the issues arising from noncommuting and hence nonlocal time, we argue that for this case light-front…

High Energy Physics - Theory · Physics 2011-03-07 M. M. Sheikh-Jabbari , A. Tureanu

A review is made on some recent studies which support the point of view that the relativistic field theory quantized on the light-front (LF) is more transparent compared to the conventional equal-time one. The discussion may be of relevance…

High Energy Physics - Theory · Physics 2016-08-15 Prem P. Srivastava

We study light-front physics and conformal symmetry, and their interplay both on and off the light cone. The full symmetry of the light cone is conformal symmetry not just Lorentz symmetry. Spontaneously breaking conformal symmetry gives…

High Energy Physics - Theory · Physics 2025-01-31 Philip D. Mannheim

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

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

Some basic topics in the light-front (LF) quantization of relativistic field theory are reviewed. It is argued that the LF quantization is equally appropriate as the conventional one and that they lead, assuming the micro- causality…

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

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

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

It is often stated that the vacuum is trivial when light-front (null-plane) quantization is applied to a quantum field theory, in contrast to the situation with equal-time quantization. In fact, it is has long been known that the statement…

High Energy Physics - Phenomenology · Physics 2018-01-15 John Collins

The light-front quantization of QCD provides an alternative to lattice gauge theory for computing the mass spectrum, scattering amplitudes, and other physical properties of hadrons directly in Minkowski space. Nonperturbative light-front…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. J. Brodsky

We use the interpolating coordinates studied by Hornbostel to investigate a transition from equal-time quantization to light-front quantization, in the context of two-dimensional $\phi^4$ theory. A consistent treatment is found to require…

High Energy Physics - Theory · Physics 2021-01-04 Sophia S. Chabysheva , John R. Hiller
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