[Psqateic] [EXTERNAL] Re: PSQ at EIC White Paper

Keh-Fei Liu liu at g.uky.edu
Sat Aug 13 01:56:01 EDT 2022


Dear Volker:

        Now that we agree that there are \bar{C} terms in Eq. (6), take 
the trace of the GFF in the rest frame, one
has the expression <T_{\mu\mu}> = [(A_q(0) + A_g(0)]M + Tr-Anomaly + 
chiral condensate - [(A_q(0) + A_g(0)]M = Tr-Anomaly
+chiral condensate which is the correct expression. The last three terms 
come from \bar{C} which is zero (for a good reason because
it is the stability condition). If one drops them first, one ends up 
with the expression of [(A_q(0) + A_g(0)]M. Please explain why
it is acceptable and not wrong with an expression where the trace of EMT 
does not contain trace anomaly. \bar{C} exists in many
publications in the literature, I don't understand the rationale for 
dropping it in this document. It leads to (unintended) consequences.

Best,
Keh-Fei


On 8/12/22 4:07 PM, Volker Burkert wrote:
> Dear Keh-Fei,
>
>  1. There is agreement for eq.(6) which deals with quark and gluon EMT
>     separately, and the \bar{C} is needed (with opposite sign for q
>     and g).
>  2. For eq.(19), which deals with the full EMT (quark + gluons} the
>     \bar{C} terms should cancel out to zero, and the term \bar{C}
>     should not appear.
> 3.
>
> 4.
>
>
>  5. Volker
> 6.
>
> ------------------------------------------------------------------------
> *From:* Keh-Fei Liu <liu at g.uky.edu>
> *Sent:* Friday, August 5, 2022 8:35 AM
> *To:* Volker Burkert <burkert at jlab.org>; psqateic-request at jlab.org 
> <psqateic-request at jlab.org>
> *Cc:* Lorcé Cédric (M.) <cedric.lorce at polytechnique.edu>
> *Subject:* [EXTERNAL] Re: [Psqateic] PSQ at EIC White Paper
> Dear Volker and Latifa:
>
>           Thank you for your tremendous effort in organizing this 
> valuable whitepaper for the community.
>
>           I now have a firm argument to show that one cannot drop the 
> \bar{C} term in Eqs. (6) and (19). Take the
> forward FF of the trace T_{\mu\mu}, they give (A_q(0) + A_g(0))M. This 
> is a trivial and meaningless result. It relates
> the matrix element of the trace to the mass via a sum rule of 
> traceless matrix elements. It does not have the anomaly.
> Only when the \bar{C} is retained, do you get the correct expression 
> with the anomaly. We should put the \bar{C} term back
> in these equations.
>
> Best,
> Keh-Fei
>
>
>
>
> On 8/3/22 4:33 PM, Volker Burkert wrote:
>>
>> Dear Colleagues,
>>
>> We are sending you this email because you have registered to 
>> participate in at least one of the workshops presented below, which 
>> were held on December 15-16, 2020, March 17-19, 2021, and July 19-23, 
>> 2021.
>>
>>
>> One of the main goals of these workshops was to develop a white paper 
>> focused on high-impact science requiring high integrated luminosity 
>> at the low-to-medium center-of-mass energy of the U.S. Electron-Ion 
>> Collider project.
>>
>>
>> This white paper is ready to be submitted for publication. As a 
>> participant in the workshop series, we invite you to become a 
>> co-author of this white paper, which can be found at this 
>> link:https://www.femtocenter.org/sites/default/files/docs/PSQ_EIC_White_Paper.pdf 
>> <https://www.femtocenter.org/sites/default/files/docs/PSQ_EIC_White_Paper.pdf> 
>>
>>
>> Please visit this link and review the scope and content of the white 
>> paper. *If you decide to co-author the WP, please send an email to 
>> burkert at jlab.org <mailto:burkert at jlab.org> no later than August 12. 
>> * You may also suggest minor changes to the text, acknowledgements, 
>> and references, or make comments that would improve the WP.
>>
>>
>> We have an agreement with a journal to publish the paper and we need 
>> to submit the final version by August 20.
>>
>>
>> With best regards,
>>
>> Volker &Latifa
>>
>> _https://urldefense.proofpoint.com/v2/url?u=https-3A__indico.bnl.gov_event_9794&d=DwIDaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=lRQm7JQTTNgh9H7STdZUgbq2inxaGxMaxrjYUFO8eiw&m=Oyv7ouHx4cpJxlFpdInnAr358TASX1xAjcKIQtSujDeHAQK0b7aLNBLxkd3bcXYM&s=6_frMdbb9E9LM1YJsA8bVmCAdqEeTJLf2UZRF3RXAJg&e=   
>> <https://urldefense.proofpoint.com/v2/url?u=https-3A__indico.bnl.gov_event_9794&d=DwMDaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=vVqGQabj76hiyFv-SdFNhS9JnbDxELkn2szNoXMYQyo&m=5AYW9vwxxp8DN9axYcgThaO2tDVhNhrtj-XHvMm22kfS_MbCzGceMTTjt26SJakY&s=4daDQQx1-C0DPsG0iFTkbWjsPATQb5ZddY_N9OGquj0&e=>_
>>
>> _https://urldefense.proofpoint.com/v2/url?u=https-3A__indico.bnl.gov_event_10677&d=DwIDaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=lRQm7JQTTNgh9H7STdZUgbq2inxaGxMaxrjYUFO8eiw&m=Oyv7ouHx4cpJxlFpdInnAr358TASX1xAjcKIQtSujDeHAQK0b7aLNBLxkd3bcXYM&s=RPhhueLM_-oc__8h1tnYlt6iev97imw6tsaVPksnA3Q&e=   
>> <https://urldefense.proofpoint.com/v2/url?u=https-3A__indico.bnl.gov_event_10677&d=DwMDaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=vVqGQabj76hiyFv-SdFNhS9JnbDxELkn2szNoXMYQyo&m=5AYW9vwxxp8DN9axYcgThaO2tDVhNhrtj-XHvMm22kfS_MbCzGceMTTjt26SJakY&s=vIOR4EUCQxbO8iay3K1a8zheeXLc26lrKytTPA4AF_U&e=>_
>>
>> _https://urldefense.proofpoint.com/v2/url?u=https-3A__indico.bnl.gov_event_11669&d=DwIDaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=lRQm7JQTTNgh9H7STdZUgbq2inxaGxMaxrjYUFO8eiw&m=Oyv7ouHx4cpJxlFpdInnAr358TASX1xAjcKIQtSujDeHAQK0b7aLNBLxkd3bcXYM&s=t6eUw4gwdWNabgF6MARd2W6JuvnA6QdLoufty8jmvSE&e=   
>> <https://urldefense.proofpoint.com/v2/url?u=https-3A__indico.bnl.gov_event_11669&d=DwMDaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=vVqGQabj76hiyFv-SdFNhS9JnbDxELkn2szNoXMYQyo&m=5AYW9vwxxp8DN9axYcgThaO2tDVhNhrtj-XHvMm22kfS_MbCzGceMTTjt26SJakY&s=ULJyvLIlwTDZWjvQsqoes6fwCcIVQE67gO8XWJup3aI&e=>_
>>
>>
>>
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