World-Line Formalism: Non-Perturbative Applications
This review addresses the impact on various physical observables which is produced by confinement of virtual quarks and gluons at the level of the one-loop QCD diagrams. These observables include the quark condensate for various heavy flavors, the Yang-Mills running coupling with an infra-red stable...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-11-01
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| Series: | Universe |
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| Online Access: | http://www.mdpi.com/2218-1997/2/4/28 |
| _version_ | 1798034906990772224 |
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| author | Dmitry Antonov |
| author_facet | Dmitry Antonov |
| author_sort | Dmitry Antonov |
| collection | DOAJ |
| description | This review addresses the impact on various physical observables which is produced by confinement of virtual quarks and gluons at the level of the one-loop QCD diagrams. These observables include the quark condensate for various heavy flavors, the Yang-Mills running coupling with an infra-red stable fixed point, and the correlation lengths of the stochastic Yang-Mills fields. Other non-perturbative applications of the world-line formalism presented in the review are devoted to the determination of the electroweak phase-transition critical temperature, to the derivation of a semi-classical analogue of the relation between the chiral and the gluon QCD condensates, and to the calculation of the free energy of the gluon plasma in the high-temperature limit. As a complementary result, we demonstrate Casimir scaling of k-string tensions in the Gaussian ensemble of the stochastic Yang-Mills fields. |
| first_indexed | 2024-04-11T20:50:46Z |
| format | Article |
| id | doaj.art-2e8efd16273841f49dd93314a05f2a71 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-11T20:50:46Z |
| publishDate | 2016-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-2e8efd16273841f49dd93314a05f2a712022-12-22T04:03:51ZengMDPI AGUniverse2218-19972016-11-01242810.3390/universe2040028universe2040028World-Line Formalism: Non-Perturbative ApplicationsDmitry Antonov0Erbprinzenstrasse 25, 69126 Heidelberg, GermanyThis review addresses the impact on various physical observables which is produced by confinement of virtual quarks and gluons at the level of the one-loop QCD diagrams. These observables include the quark condensate for various heavy flavors, the Yang-Mills running coupling with an infra-red stable fixed point, and the correlation lengths of the stochastic Yang-Mills fields. Other non-perturbative applications of the world-line formalism presented in the review are devoted to the determination of the electroweak phase-transition critical temperature, to the derivation of a semi-classical analogue of the relation between the chiral and the gluon QCD condensates, and to the calculation of the free energy of the gluon plasma in the high-temperature limit. As a complementary result, we demonstrate Casimir scaling of k-string tensions in the Gaussian ensemble of the stochastic Yang-Mills fields.http://www.mdpi.com/2218-1997/2/4/28the world-line formalismWilson loopsanalytic calculations of path integrals with the minimal-area surfacestheoretical foundations of the stochastic vacuum modelconfinement and chiral-symmetry breaking in QCDgluonic bound statesCasimir scalingthe Yang-Mills running couplingthermodynamics of the gluon plasmaelectroweak phase transition |
| spellingShingle | Dmitry Antonov World-Line Formalism: Non-Perturbative Applications Universe the world-line formalism Wilson loops analytic calculations of path integrals with the minimal-area surfaces theoretical foundations of the stochastic vacuum model confinement and chiral-symmetry breaking in QCD gluonic bound states Casimir scaling the Yang-Mills running coupling thermodynamics of the gluon plasma electroweak phase transition |
| title | World-Line Formalism: Non-Perturbative Applications |
| title_full | World-Line Formalism: Non-Perturbative Applications |
| title_fullStr | World-Line Formalism: Non-Perturbative Applications |
| title_full_unstemmed | World-Line Formalism: Non-Perturbative Applications |
| title_short | World-Line Formalism: Non-Perturbative Applications |
| title_sort | world line formalism non perturbative applications |
| topic | the world-line formalism Wilson loops analytic calculations of path integrals with the minimal-area surfaces theoretical foundations of the stochastic vacuum model confinement and chiral-symmetry breaking in QCD gluonic bound states Casimir scaling the Yang-Mills running coupling thermodynamics of the gluon plasma electroweak phase transition |
| url | http://www.mdpi.com/2218-1997/2/4/28 |
| work_keys_str_mv | AT dmitryantonov worldlineformalismnonperturbativeapplications |