We introduce a generating function for the coefficients of the leading logarithmic BFKL Green’s function in transverse-momentum space, order by order in αS, in terms of single-valued harmonic polylogarithms. As an application, we exhibit fully analytic azimuthal-angle and transverse-momentum distributions for Mueller-Navelet jet cross sections at each order in αS. We also provide a generating f...

We present the results of a high statistics lattice study of the gluon propagator, in the Landau gauge, at β = 6.0. As suggested by previous studies, we find that, in momentum space, the propagator is well described by the expression G(k 2) = M 2 + Z · k 2 (k 2 /Λ 2) η −1. By comparing G(k 2) on different volumes, we obtain a precise determination of the exponent η = 0.532(12), and verify that ...

Non-linear special relativity (or doubly special relativity) is a simple framework for encoding properties of flat quantum space-time. In this paper we show how this formalism may be generalized to incorporate curvature (leading to what might be called “doubly general relativity”). We first propose a dual to non-linear realizations of relativity in momentum space, and show that for such a dual ...

Let us assume that gravity is an emergent low-energy phenomenon arising from a topologically stable defect in momentum space – the Fermi point. What are the consequences? We discuss the natural values of fermion masses and cosmological constant; flatness of the Universe; bounds on Lorentz violation; etc.

An outline is given how to formulate a relativistic unitarized constituent quark model of mesons in momentum space, employing harmonic quark confinement. As a first step, the momentum-space harmonic-oscillator potential is solved in a relativistically covariant, three-dimensional quasipotential framework for scalar particles, using the spline technique. Then, an illustrative toy model with the ...

The Coulomb interaction between the two protons is included in the calculation of three-nucleon hadronic and electromagnetic reactions using screening and renormalization approach. Calculations are done using integral equations in momentum space. The reliability of the method is demonstrated. The Coulomb effect on observables is discussed.

We have considered the two-point correlation function of QED in worldline formalism. In position space it has been written in terms of heat kernel. This leads to introducing the K 1 (x i) function, which is related with the bulk-to-boundary propagator of massless scalar field and to reveal bulk-to-boundary propagator in the expression of photon polarization operator.

We study the dependence on configuration in momentum space of the primordial 3-point function of density perturbations in several different scenarios: standard slow-roll inflation, curvaton and variable decay models, ghost inflation, models with higher derivative operators and the DBI model of inflation. We define a cosine between the distributions using a measure based on the ability of experi...

Although secret sharing techniques have been applied to implement secure electronic sealed-bid auction for a long time, problems and attacks still exist in secret-sharing-based electronic sealed-bid auction schemes. In this paper, a new secret-sharing-based first-bid e-auction scheme is designed to achieve satisfactory properties and efficiency. Correctness and fairness of the new auction are b...