Parametrization of transition energy-momentum tensor form factors

Parametrization dependence of the energy-momentum tensor and the metric

The Energy-momentum Tensor as a Second Fundamental Form

We show that it is natural to consider the energy-momentum tensor associated with a spinor field as the second fundamental form of an isommetric immersion. In particular we give a generalization of the warped product construction over a Riemannian manifold leading to this interpretation. Special sections of the spinor bundle, generalizing the notion of Killing spinor, are studied. First applica...

Virtual photons in the pion form factors and the energy–momentum tensor

We evaluate the vector and scalar form factor of the pion in the presence of virtual photons at next–to–leading order in two–flavor chiral perturbation theory. We also consider the scalar and tensor pion form factors of the energy–momentum tensor. We find that the intrinsic electromagnetic corrections are very small for the vector and charged pion scalar form factor. The scalar radius of the ne...

Perturbative pion-photon transition form factors with transverse momentum corrections.

We perform a perturbative QCD analysis of the quark transverse momentum effect on the pion-photon transition form factors Fπγ and Fπγ∗ in the standard light-cone formalism, with two phenomenological models of wavefunction as the input of the non-perturbative aspect of the pion. We point out that the transverse momentum dependence in both the numerator and the denominator of the hard scattering ...

Energy-Momentum tensor on foliations

In this paper, we give a new lower bound for the eigenvalues of the Dirac operator on a compact spin manifold. This estimate is motivated by the fact that in its limiting case a skew-symmetric tensor (see Equation (1.6)) appears that can be identified geometrically with the O’Neill tensor of a Riemannian flow, carrying a transversal parallel spinor. The Heisenberg group which is a fibration ove...