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Gauge fields are special in the sense that they are invariant under gauge transformations and \emph{``ipso facto''} they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge…

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

Hamiltonian light-front quantum field theory provides a framework for calculating both static and dynamic properties of strongly interacting relativistic systems. Invariant masses, correlated parton amplitudes and time-dependent scattering…

Nuclear Theory · Physics 2014-06-10 James P. Vary , Xingbo Zhao , Anton Ilderton , Heli Honkanen , Pieter Maris , 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 counterterms and bare…

High Energy Physics - Theory · Physics 2008-11-26 V. A. Karmanov , J. -F. Mathiot , A. V. Smirnov

We study the form factors of vector mesons using a covariant fermion field theory model in $(3+1)$ dimensions. Performing a light-front calculation in the $q^+ =0$ frame in parallel with a manifestly covariant calculation, we note the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bernard L. G. Bakker , Ho-Meoyng Choi , Chueng-Ryong Ji

In a set of two papers, we propose to study an old-standing problem, namely the electromagnetic interaction for particles of arbitrary spin. Based on the assumption that light-cone helicity at tree level and $Q^2=0$ should be conserved…

High Energy Physics - Phenomenology · Physics 2009-01-28 Cédric Lorcé

For the vector sector, i.e, mesons with spin-1, the electromagnetic form factors and anothers observables are calculated with the light-front approach. However, the light-front quantum field theory have some problems, for example, the…

High Energy Physics - Phenomenology · Physics 2015-04-28 J. P. B. C. de Melo , Anacé N. da Silva , Clayton S. Mello , T. Frederico

We develop a polynomial basis to be used in numerical calculations of light-front Fock-space wave functions. Such wave functions typically depend on longitudinal momentum fractions that sum to unity. For three particles, this constraint…

Computational Physics · Physics 2015-06-16 Sophia S. Chabysheva , Blair Elliott , John R. Hiller

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 2007-05-23 J. F. Mathiot

Non-perturbative solutions to the quantum-field theory is a topic of current and broad interest, especially for the heavy ion and laser physics communities, since they investigate particle production in the presence of strong external…

High Energy Physics - Phenomenology · Physics 2015-03-17 H. Honkanen

Microcausality -- the vanishing of commutators outside the lightcone -- is a fundamental property of relativistic quantum field theories. We derive its implications for two-point functions of scalar operators on {\it Lorentz-breaking}…

High Energy Physics - Theory · Physics 2025-07-24 Lam Hui , Alberto Nicolis , Alessandro Podo , Shengjia Zhou

We investigate the issue of electromagnetic duality on the light front. We work with Zwanziger's theory of electric and magnetic sources which is appropriate for treating duality. When quantized on the light-front in the light front gauge,…

High Energy Physics - Theory · Physics 2016-12-28 Asmita Mukherjee , Somdatta Bhattacharya

We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach. The valence sector light-front wavefunctions of heavy quarkonia are obtained from the Basis Light-Front…

High Energy Physics - Phenomenology · Physics 2018-08-28 Meijian Li , Yang Li , Pieter Maris , James P. Vary

It is common practice to take for granted the equality (up to the constant $\varepsilon_0$) of the electric displacement ($\bf{D}$) and electric ($\bf{E}$) field vectors in vacuum. The same happens with the magnetic field ($\bf{H}$) and the…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Sébastien Fumeron , Fernando Moraes , Bertrand Berche

We introduce a new method to include condensates in the light-cone Hamiltonian. By using a Gaussian approximation to the ordinary vacuum in a theory close to the light front, we derive an effective Hamiltonian on the light cone, which has…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. V. Prokhvatilov , H. W. L. Naus , H. --J. Pirner

We use holography to study the ground state of a system with interacting bosonic and fermionic degrees of freedom at finite density. The gravitational model consists of Einstein-Maxwell gravity coupled to a perfect fluid of charged fermions…

High Energy Physics - Theory · Physics 2015-06-22 Francesco Nitti , Giuseppe Policastro , Thomas Vanel

In this work we establish a density-functional reformulation of coupled matter-photon problems subject to general external electromagnetic fields and charge currents. We first show that for static minimally-coupled matter-photon systems an…

Quantum Physics · Physics 2017-08-07 M. Ruggenthaler

The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark. Emphasis is put on dealing…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans-Christian Pauli

In the light-cone gauge choice for Abelian and non-Abelian gauge fields, the vector boson propagator carries in it an additional ``spurious'' or ``unphysical'' pole intrinsic to the choice requiring a careful mathematical treatment.…

High Energy Physics - Theory · Physics 2007-05-23 Alfredo T. Suzuki , Ricardo Bentin

Light-front wavefunctions provide a frame-independent representation of hadrons in terms of their physical quark and gluon degrees of freedom. The light-front Hamiltonian formalism provides new nonperturbative methods for obtaining the QCD…

High Energy Physics - Theory · Physics 2017-08-23 S. J. Brodsky

The quantum phase-space approach allows one to define relativistic spatial distributions inside a target with arbitrary spin and arbitrary average momentum. We apply this quasiprobabilistic formalism to the whole electromagnetic…

High Energy Physics - Phenomenology · Physics 2023-01-11 Yi Chen , Cédric Lorcé