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A formally exact discrete multi-resolution representation of quantum field theory on a light front is presented. The formulation uses an orthonormal basis of compactly supported wavelets to expand the fields restricted to a light front. The…

High Energy Physics - Theory · Physics 2020-05-20 W. N. Polyzou

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 introduce a nonperturbative, first principles numerical approach for solving time-dependent problems in quantum field theory, using light-front quantization. As a first application we consider QED in a strong background field, and the…

Nuclear Theory · Physics 2013-09-19 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

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

A causal, non-Hermitian, renormalizable, local, unitary and Lorentz convariant formulation of Quantum Theory (QT) (= Quantum Mechanics (QM) and Quantum Field Theory (QFT)) is developed which is free of formalistic problems we face in the…

High Energy Physics - Phenomenology · Physics 2011-07-19 F. Kleefeld

QFT approaches elaborated for treating quantum effects in time-dependent external electric fields are not directly applicable to time-independent nonuniform electric fields that are given by a step potential and their generalization for the…

High Energy Physics - Theory · Physics 2016-03-02 S. P. Gavrilov , D. M. Gitman

Basis Light-front Quantization has been proposed as a nonperturbative framework for solving quantum field theory. We apply this approach to Quantum Electrodynamics and explicitly solve for the light-front wave function of a physical…

Nuclear Theory · Physics 2014-08-26 Xingbo Zhao , Heli Honkanen , Pieter Maris , James P. Vary , Stanley J. Brodsky

We provide a minimal, self-contained introduction to the covariant DFR flat quantum spacetime, and to some partial results for the corresponding quantum field theory. Explicit equations are given in the Dirac notation.

High Energy Physics - Theory · Physics 2011-05-18 Gherardo Piacitelli

We describe quantum-field-theoretical (QFT) techniques for mapping quantum problems onto c-number stochastic problems. This approach yields results which are identical to phase-space techniques [C.W. Gardiner, {\em Quantum Noise} (1991)]…

Statistical Mechanics · Physics 2007-05-23 L. I. Plimak , M. Fleischhauer , M. K. Olsen , M. J. Collett

The light-front dynamics is an efficient approach to study of field theory and of relativistic composite systems (nuclei at relativistic relative nucleon momenta, hadrons in the quark models). The explicitly covariant version of this…

Nuclear Theory · Physics 2007-05-23 V. A. Karmanov , J. Carbonell

This thesis considers various aspects of locally covariant quantum field theory (LCQFT; see Brunetti et al., Commun.Math.Phys. 237 (2003), 31-68), a mathematical framework to describe axiomatic quantum field theories in curved spacetimes.…

Mathematical Physics · Physics 2008-09-30 Ko Sanders

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

The experience from Quantum Information has lead us to look at Quantum Theory (QT) and the whole Physics from a different angle. The information-theoretical paradigm---"It from Bit'---prophesied by John Archibald Wheeler is relentlessly…

Quantum Physics · Physics 2015-05-20 Giacomo Mauro D'Ariano

We study the electromagnetic structure of the pion in terms of the quantum cromodynamic~(QCD) model on the Breit-frame. We calculated the observables, such as the electromagnetic form factor. The priori to have a calculation covariant need…

High Energy Physics - Phenomenology · Physics 2016-05-17 Clayton Santos Mello , J. P. B. C. de Melo , T. Frederico

We present a simple introduction to the techniques of effective field theory (EFT) and their application to QCD. For problems with more than one energy scale, the EFT approach is a useful alternative to more traditional model-building…

Nuclear Theory · Physics 2007-05-23 U. van Kolck , L. J. Abu-Raddad , D. M. Cardamone

A mathematically well-defined, manifestly covariant theory of classical and quantum field is given, based on Euclidean Poisson algebras and a generalization of the Ehrenfest equation, which implies the stationary action principle. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Arnold Neumaier

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing light-front gauge and adopting a basis function…

Nuclear Theory · Physics 2009-09-29 J. P. Vary , H. Honkanen , Jun Li , P. Maris , S. J. Brodsky , P. Sternberg , E. G. Ng , C. Yang

Parametrized field theory (PFT) is free field theory on flat spacetime in a diffeomorphism invariant disguise. It describes field evolution on arbitrary foliations of the flat spacetime instead of only the usual flat ones, by treating the…

General Relativity and Quantum Cosmology · Physics 2015-01-30 Madhavan Varadarajan

A general formulation of classical relativistic particle mechanics is presented, with an emphasis on the fact that superluminal velocities and nonlocal interactions are compatible with relativity. Then a manifestly relativistic-covariant…

High Energy Physics - Theory · Physics 2019-11-19 H. Nikolic

Light-front quantization has important advantages for describing relativistic statistical systems, particularly systems for which boost invariance is essential, such as the fireball created in a heavy ion collisions. In this paper we…

High Energy Physics - Theory · Physics 2009-09-11 J. Raufeisen , S. J. Brodsky