[Jlab-seminars] Theory Center Seminar

[Mary Fox]

Theory Center Seminar
Mon., June 2, 2014
1:00 p.m. (coffee at 12:45 p.m.)
CEBAF Center, Room L102

Paul Hoyer
University of Helsinki

*Bound States -- From QED to QCD *

The hadron spectrum is characterized by the valence quark degrees of 
freedom, even though scattering (DIS)
data shows that hadrons also have sea quarks and gluon constituents. The 
Dirac equation demonstrates that
these two features can coexist for relativistic dynamics. Dirac bound 
states of an electron have an unlimited
number of electron-positron pair constituents, while the spectrum is 
determined by a single electron equation.
Confined fermion-antifermion states can be realized in gauge theory by 
imposing a non-vanishing boundary
condition on Gauss' law. Only the simplest homogeneous solution, 
$A^0(\boldsymbol{x}) \propto \boldsymbol{x}$,
is compatible with translation invariance, and then only for neutral 
states. This results in a linear instantaneous
potential, similar to the ${\mathcal O}(\alpha_s^0)$ potential of the 
quark model. The bound states are described
by equal-time wave functions in all frames, are rotationally invariant 
in the rest frame and have a dynamically
realized boost covariance. Their electromagnetic form factors are gauge 
invariant and their parton distributions
have contributions from sea quarks at low $x_{Bj}$. The boost from the 
rest frame to the infinite momentum
frame reveals an interesting difference wrt. wave functions defined at 
equal light-cone time. The states thus
constructed are candidates for ${\mathcal O}(\alpha_s^0)$ asymptotic 
($in$ and $out$) states of the QCD $S$-matrix.
This approach is described in the lecture notes of arXiv:1402.5005.
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