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dc.contributor.authorSerafin, Kamil
dc.contributor.authorGómez Rocha, María 
dc.contributor.authorMore, Jai
dc.contributor.authorGłazek, Stanislaw D.
dc.date.accessioned2024-05-17T06:58:42Z
dc.date.available2024-05-17T06:58:42Z
dc.date.issued2024-01-12
dc.identifier.citationKamil Serafin, María Gómez-Rocha, Jai More, and S. D. Głazek. Dynamics of heavy quarks in the Fock space. Phys. Rev. D 109, 016017 (2024) [10.1103/PhysRevD.109.016017]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/91893
dc.description.abstractThis paper concerns a method of describing hadrons that starts with the canonical front form Hamiltonian of QCD. The method is developed in the relatively simple context of QCD with only heavy quarks. We regulate its canonical Hamiltonian by introducing a vanishingly small gluon mass mg. For positive mg, the small-x gluon divergences become ultraviolet and hence they are renormalized in the sameway the ultraviolet transverse divergences are. This is done using the renormalization group procedure for effective particles. Up to the second order of expansion of the renormalized Hamiltonian in powers of the quark-gluon coupling constant g, only the quark mass-squared and gluon-exchange divergences require counterterms. In these circumstances, we calculate an effective potential between quarks in heavy quarkonia in an elementary way, replacing all the quarkonium-state components with gluons of mass mg by only one component with just one gluon that is assigned a mass mG, comparable to or exceeding the scale of typical relative momenta of bound quarks. In the limit of mg → 0 and large mG two results are obtained. (1) While the color-singlet quarkonium mass eigenvalue stays finite and physically reasonable in that limit, the eigenvalues for single quarks and octet quarkonia are infinite. (2) Besides the coulomb terms, the effective quark-antiquark potential is quadratic as a function of the distance and spherically symmetric for typical separations between quarks but becomes logarithmic and no longer spherically symmetric for large separations. Our conclusion indicates how to systematically improve upon the approximations made in this paper.es_ES
dc.description.sponsorshipSenior Scientist Program funded by Gansu Province, Grant No. 22JR10KA001es_ES
dc.description.sponsorshipGansu International Collaboration and Talents Recruitment Base of Particle Physics (2023-2027)es_ES
dc.description.sponsorshipChinese Academy of Sciences President’s International Fellowship Initiative (PIFI), Grant No. 2021PM0066es_ES
dc.description.sponsorshipChinese Ministry of Science and Technology Foreign Expert Project, Grant No. QN20200143003es_ES
dc.description.sponsorshipNational Natural Science Foundation of China (NSFC) under Grant No. 12047555es_ES
dc.description.sponsorshipFEDER2020 funds, project Ref. A-FQM-406-UGR20 and from MCIN/AEI/10.13039/501100011033, Project Ref. PID2020–114767 GB-I00es_ES
dc.description.sponsorshipDepartment of Science and Technology (DST), Government of India, for financial support through Grant No. SR/WOS-A/PM-6/2019es_ES
dc.language.isoenges_ES
dc.publisherAmerican Physical Societyes_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.titleDynamics of heavy quarks in the Fock spacees_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.1103/PhysRevD.109.016017
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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