[Hadstruct] [EXTERNAL] Coulomb gauge lattice PDFs

[Savvas Zafeiropoulos]

Hi Joe et al,

let me write here some thoughts in order to initiate a discussion...

The article looks interesting but I am not sure if there is a huge gain for
the pseudo-PDFs.
-We don’t care about long and noisy wilson lines because for us large
separations lead to HTE.
-Also we do care to preserve apart from gauge invariance, Lorentz
invariance and to break our initial matrix element to LI matrix elements.
So is there any real gain when one sacrifices LI due to the off-diagonal
momenta???

-One could argue that choosing more ``democratical”  momenta  one would
suffer from less discretization errors…
-Also I am not sure why one would gain something with respect to the StN
ratio…The latter cares only about the total energy…
-I might admit that it might be helpful for TMDs though because the stapled
link is a pain.

What do you guys think? We can even try it ourselves...
Best,
Savvas

On Thu, Jun 29, 2023 at 12:57 AM Joseph Karpie via Hadstruct <
hadstruct at jlab.org> wrote:

> Hey,
>
> In case you missed it, https://urldefense.proofpoint.com/v2/url?u=https-3A__arxiv.org_pdf_2306.14960.pdf&d=DwIFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=phC8jtUHUVIl1OXaA25HKnc5L16EvLwhrqx4rXYGPWA&m=ycjc_C60uwMRNW90FY5JalSxi6GXytF0Rwj-GK7Uz_DYRqruHAFwZiHQ1bFkEYUx&s=g1uyCcZCTNJyjK0_vT5w5zjMEkB2PrWGyPSrOAu06SI&e= 
> <https://urldefense.proofpoint.com/v2/url?u=https-3A__arxiv.org_pdf_2306.14960.pdf&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=phC8jtUHUVIl1OXaA25HKnc5L16EvLwhrqx4rXYGPWA&m=--okf9NYKnac-wdTM6GfvU55ItwYoTolxBOkJAum_xWDE1bkpbZwfZknNfV4hxA6&s=FvXF6UsMrLM5yGv5zeqUjhe0QWCpk4wfVIW8YEucMHA&e=>,
> some familiar names have tried to calculate our beloved matrix elements in
> the coulomb gauge. They say this allows for you to drop the Wilson line due
> to the Coulomb's gauge relation to the lightcone gauge A^+=0 after an
> infinite momentum boost. If it's still reasonable at finite momenta (which
> sounds sketchy to me at first glance), then removing the WL gives an
> improvement in signal specifically at large separations. I must read
> closer, but I believe they said comparable errors with half the computer
> time. It also removes the exponential piece of the renormalization that
> they frequently worry about.
>
> Best,
> Joe
> _______________________________________________
> Hadstruct mailing list
> Hadstruct at jlab.org
> https://mailman.jlab.org/mailman/listinfo/hadstruct
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <https://mailman.jlab.org/pipermail/hadstruct/attachments/20230629/60f0df1d/attachment.html>