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To a first semiclassical approximation one can reduce the multi-parton light-front problem in QCD to an effective one-dimensional quantum field theory, which encodes the fundamental conformal symmetry of the classical QCD Lagrangian. This…

High Energy Physics - Phenomenology · Physics 2015-06-18 Guy F. de Teramond , Stanley J. Brodsky , Hans Günter Dosch

We study the influence of boundary conditions on the finite-size corrections of a one-dimensional (1D) quantum spin model by exact and perturbative theoretic calculations. We obtain two new infinite sets of universal amplitude ratios for…

Statistical Mechanics · Physics 2015-05-18 N. Sh. Izmailian , Chin-Kun Hu

For obtaining the spin space wave function of the pion meson in the light-cone formalism from the naive quark model, it is necessary to take into account Wigner rotation. Consequently there are higher helicity ($\lambda_1+\lambda_2=\pm 1$)…

High Energy Physics - Phenomenology · Physics 2010-11-19 Fuguang Cao , J. Cao , T. Huang , B. Q. Ma

Light-Front Holography is a remarkable consequence of the correspondence between string theory in AdS space and conformal field theories in physical-space time. It allows string modes $\Phi(z)$ in the AdS fifth dimension to be precisely…

High Energy Physics - Phenomenology · Physics 2008-04-24 Stanley J. Brodsky , Guy F. de Teramond

We present results for the helicity amplitudes of the lowest-lying hyperon resonances Y*, computed within the framework of the Bonn constituent-quark model, which is based on the Bethe-Salpeter approach. The seven parameters entering the…

Nuclear Theory · Physics 2017-08-23 Tim Van Cauteren , Jan Ryckebusch , Bernard C. Metsch , Herbert-R. Petry

The power of the helicity formalism has been appreciated recently from its application to the massless case, where plenty of formal aspects of multi-legs amplitudes have been derived. However, in order to extend the formalism to the…

High Energy Physics - Phenomenology · Physics 2016-11-23 J. Lorenzo Diaz-Cruz , Bryan O. Larios , O. Meza-Aldama

A generalized Frenkel condition is proposed for use in spin hydrodynamics to relate the spin density and spin polarization (or spin chemical potential) tensors. It allows for independent treatment of electric- and magnetic-like components…

High Energy Physics - Phenomenology · Physics 2024-01-17 Asaad Daher , Wojciech Florkowski , Radoslaw Ryblewski

Two conditions on symmetries are identified as necessary for a linear scattering system to be able to rotate the linear polarisation of light: Lack of at least one mirror plane of symmetry and electromagnetic duality symmetry. Duality…

In a recent letter we suggested a natural generalization of the flat-space spinor-helicity formalism in four dimensions to anti-de Sitter space. In the present paper we give some technical details that were left implicit previously. For…

High Energy Physics - Theory · Physics 2020-07-15 Balakrishnan Nagaraj , Dmitry Ponomarev

The concept of phase space amplitudes for systems with continuous degrees of freedom is generalized to finite-dimensional spin systems. Complex amplitudes are obtained on both a sphere and a finite lattice, in each case enabling a more…

Quantum Physics · Physics 2015-05-20 P Watson , A J Bracken

Electromagnetic and weak current operators for interacting systems should properly commute with the Poincar\'e generators and satisfy Hermiticity. The electromagnetic current should also satisfy ${\cal P}$ and ${\cal T}$ covariance and…

High Energy Physics - Phenomenology · Physics 2016-09-06 F. M. Lev , E. Pace , G. Salme`

Scalar, baryon and vector--current densities in coordinate and momentum space are calculated within a relativistic mean--field model. The role of the low components of the bound nucleon wave function is investigated in detail for different…

Nuclear Theory · Physics 2009-10-31 J. A. Caballero , T. W. Donnelly , E. Moya de Guerra , J. M. Udias

We study the form factors for a heavy meson into the S-wave $K\pi/\pi\pi$ system with an invariant mass below 1~GeV. The mesonic final state interactions are described in terms of the scalar form factors, which are obtained from unitarized…

High Energy Physics - Phenomenology · Physics 2015-06-18 Ulf-G. Meißner , Wei Wang

In the framework of $f(T)$ gravity, we focus on a weak-field and spherically symmetric solution for the Lagrangian $f(T)=T+\alpha T^{2}$, where $\alpha$ is a small constant which parameterizes the departure from General Relativity. In…

General Relativity and Quantum Cosmology · Physics 2016-05-16 Matteo Luca Ruggiero

We investigate the use of the embedding formalism and the Mellin transform in the calculation of tree-level conformal correlation functions in $AdS$/CFT. We evaluate 5- and 6-point Mellin amplitudes in $\phi^3$ theory and even a 12-pt…

High Energy Physics - Theory · Physics 2015-05-28 Miguel F. Paulos

A three-dimensional reduction of the two-particle Bethe-Salpeter equation is proposed. The proposed reduction is in the framework of light-front dynamics. It yields auxiliary quantities for the transition matrix and the bound state. The…

Nuclear Theory · Physics 2009-10-31 J. H. O. Sales , T. Frederico , B. V. Carlson , P. U. Sauer

We provide universal expressions for the classical piece of the amplitude given by the graviton/photon exchange between massive particles of arbitrary spin, at both tree and one loop level. In the gravitational case this leads to higher…

High Energy Physics - Theory · Physics 2021-10-20 Alfredo Guevara

We present a phenomenological interaction with a scale factor power law form which leads to the appearance of two kinds of perturbed terms, a scale factor spatial variation along with perturbed Hubble expansion rate. We study both the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-09 Martín G. Richarte , Lixin Xu

Low multiplicity celestial amplitudes of gluons and gravitons tend to be distributional in the celestial coordinates $z,\bar z$. We provide a new systematic remedy to this situation by studying celestial amplitudes in a basis of light…

High Energy Physics - Theory · Physics 2022-01-14 Atul Sharma

We investigate the angular momentum decomposition with a quantum electrodynamics example to clarify the proton spin decomposition debates. We adopt the light-front formalism where the parton model is well defined. We prove that the sum of…

High Energy Physics - Phenomenology · Physics 2015-01-09 Tianbo Liu , Bo-Qiang Ma