Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory

Abstract

We compute the gravitational form factors $A_i$, $D_i$ and ${\bar{c}}_i$ of the scalar Yukawa theory using both the light-cone and covariant perturbation theory at the one-loop level. The light-cone formalism provides a potential approach to access these form factors beyond the perturbative regime. However, unlike the covariant formulation, the Poincaré symmetry on the light cone is not manifest. In this work, we use perturbation theory as a benchmark to extract the gravitational form factors from the light-front energy-momentum tensor. By comparing results on and off the light cone, we identify $T^{++},T^{+a},T^{+-},T^{12}$ as the "good currents" that are properly renormalized and can be used to extract the gravitational form factors.

arXiv comment13 pages, 2 figures. Published in JHEP

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• A step towards estimation of the neutral-hadron size: the gravitational mass radius of pi0 meson in a relativistic theory of composite particles
• Dissecting a strongly coupled scalar nucleon
• Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory