Stress inside the pion in holographic light-front QCD

In this work, we propose a method to compute the gravitational form factor <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>D</a:mi><a:mo stretchy="false">(</a:mo><a:msup><a:mi>Q</a:mi><a:mn>2</a:mn></a:msup><a:mo stretchy="false">)</a:mo></a:math> in holographic QCD by exploiting the remarkable correspondence between semiclassical light-front QCD and semiclassical field theories in wrapped spacetime in five dimensions. The use of light-front holography bridges physics at large <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msup><e:mi>Q</e:mi><e:mn>2</e:mn></e:msup></e:math> as attained in light-front QCD and physics at small <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msup><g:mi>Q</g:mi><g:mn>2</g:mn></g:msup></g:math> where the coupling to scalar and tensor fields, e.g. glueballs, are dominant. As an application, we compute the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>D</i:mi></i:math>-term for the pion and compare the results with recent lattice simulations.