О.В. Теряев ЛТФ ОИЯИ
DESCRIPTION
Принцип эквивалентности и элементарные частицы Всероссийское совещание по прецизионной физике и фундаментальным физическим константам Дубна, ОИЯИ 4 декабря 2009 г. О.В. Теряев ЛТФ ОИЯИ. Main Topics. Equivalence Principle and Spin Gravitational formfactors - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/1.jpg)
Принцип Принцип эквивалентности и эквивалентности и элементарные элементарные частицычастицы Всероссийское совещание по прецизионной физике и фундаментальным физическим константам Дубна, ОИЯИ 4 декабря 2009 г.
О.В. ТеряевЛТФ ОИЯИ
![Page 2: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/2.jpg)
Main Topics Equivalence Principle and Spin Gravitational formfactors Direct and Indirect tests of
Equivalence Principle Extension of Equivalence Principle
(validity separately for quarks and gluons)
EP for Spin-1 hadrons
![Page 3: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/3.jpg)
Equivalence principle Newtonian – “Falling elevator” – well known and
checked (also for elementary (anti)particles – S. Karshenboim)
Post-Newtonian – gravity action on SPIN – known since 1962 (Kobzarev and Okun’); rederived from conservarion laws - Kobzarev and Zakharov
In the context of GPDs = Ji’s sum rules (1996!) Anomalous gravitomagnetic (and electric-CP-odd)
moment iz ZERO or Classical and QUANTUM rotators behave in the SAME
way - not checked on purpose but in fact checked in
atomic spins experiments at % level (Silenko,OT’07)
![Page 4: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/4.jpg)
GPDs (generalization of DA’s (talk of S. Mikhailov) Inclusive ->
exclusive
Forward -> non-forward (= skewed = generalized)
![Page 5: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/5.jpg)
1-st moments - EM, 2-nd -Gravitational Formfactors
Conservation laws - zero Anomalous Gravitomagnetic Moment : (g=2)
May be extracted from high-energy experiments/NPQCD calculations
Describe the partition of angular momentum between quarks and gluons
Describe interaction with both classical and TeV gravity
![Page 6: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/6.jpg)
GPDs – models for both EM and Gravitational formfactors (Selyugin,OT ’09) Smaller mass square radius
(attraction vs repulsion!?)
![Page 7: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/7.jpg)
Electromagnetism vs Gravity Interaction – field vs metric deviation
Static limit
Mass as charge – equivalence principle
![Page 8: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/8.jpg)
Gravitomagnetism Gravitomagnetic field (weak, except in gravity
waves) – action on spin from spin dragging twice smaller than EM Lorentz force – similar to EM case: factor ½
cancelled with 2 from Larmor frequency same as EM
Orbital and Spin momenta dragging – the same - Equivalence principle
![Page 9: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/9.jpg)
Experimental test of PNEP Reinterpretation of the data on
G(EDM) search
If (CP-odd!) GEDM=0 -> constraint for AGM (A. Silenko, OT’07)
![Page 10: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/10.jpg)
Equivalence principle for moving particles Compare gravity and acceleration: gravity
provides EXTRA space components of metrics
Matrix elements DIFFER
Ratio of accelerations: - confirmed by explicit solution of Dirac equation (Silenko, OT, ‘05)
Non-stationary (weak approximation to Kerr) – Obukov, Silenko, OT ‘09
![Page 11: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/11.jpg)
Generalization of Equivalence principle Various arguments: AGM 0
separately for quarks and gluons – most clear from the lattice (LHPC/SESAM)
![Page 12: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/12.jpg)
Extended Equivalence Principle=Exact EquiPartition In pQCD – violated Reason – in the case of EEP- no smooth
transition for zero fermion mass limit (Milton, 73)
Conjecture (O.T., 2001 – prior to lattice data) – valid in NP QCD – zero quark mass limit is safe due to chiral symmetry breaking
Supported by smallness of E (isoscalar AMM)
![Page 13: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/13.jpg)
Vector mesons and EEP J=1/2 -> J=1. QCD SR (Samsonov) calculation of
Rho’s AMM gives g close to 2.
Maybe because of similarity of moments g-2=<E(x)>; B=<xE(x)> Directly for charged Rho (combinations like p+n
for nucleons unnecessary!). Not reduced to non-extended EP: Gluons momentum fraction sizable
![Page 14: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/14.jpg)
EEP and AdS/QCD Recent development – calculation
of Rho formfactors in Holographic QCD (Grigoryan, Radyushkin)
Provides g=2 identically! Experimental test at time –like
region possible
![Page 15: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/15.jpg)
Another (new!) manifestation of post-Newtonian (E)EP for spin 1 hadrons Tensor polarization
-coupling of EMT to spin in forward matrix elements - inclusive processes
Second moments of tensor distributions should sum to zero
=0 for EEP
![Page 16: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/16.jpg)
HERMES – data on tensor spin structure function Isoscalar target –
proportional to the sum of u and d quarks – combination required by EEP
Second moments – compatible to zero better than the first one (collective glue << sea) – for valence:
![Page 17: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/17.jpg)
What about vector mesons – sum rules (A. Oganesian, Phys.Atom.Nucl.71:1439-1444,2008) Very different for
longitudinal and transverse rho
Reason – smallness of tensor polarization dependent part?
![Page 18: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/18.jpg)
Another relation of Gravitational FF and NP QCD (first reported at 1992: hep-ph/9303228 ) BELINFANTE (relocalization) invariance :decreasing in coordinate – smoothness in momentum space Leads to absence of massless
pole in singlet channel – U_A(1) Delicate effect of NP QCD Equipartition – deeply
related to relocalization invariance by QCD evolution
![Page 19: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/19.jpg)
Relocalization and EEP (OT’98) Evolution of orbital and TOTAL
angular momentum (at LO) – related due to non-trivial relations between DGLAP kernels
RI: EEP:
![Page 20: О.В. Теряев ЛТФ ОИЯИ](https://reader035.vdocument.in/reader035/viewer/2022062322/56814a1a550346895db742ed/html5/thumbnails/20.jpg)
CONCLUSIONS EP with spin – new problem for particle
physics Direct (motion in gravitational
fileds/accelerated frames) and indirect (extraction from precise accelerator data)
Spin-1 hadrons – also in inclusive processes
A number of evidences for validity of EP for quarks and gluons separately