Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge

Kvanttiväridynamiikan häiriöteoriassa esiintyvät virtuaaliset häiriöt tuottavat äärettömyyksiä, jotka ilmenevät integroidessa virtuaalisen hiukkasen liikemäärän suhteen. Äärettömyydet poistetaan renormalisaatioksi kutsutulla menetelmällä. Tässä tutkielmassa renormalisoidaan valokartiomitassa kvarkki...

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Main Author: Tevio, Mirja
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2020
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/73127
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author Tevio, Mirja
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_facet Tevio, Mirja Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä Tevio, Mirja Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_sort Tevio, Mirja
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description Kvanttiväridynamiikan häiriöteoriassa esiintyvät virtuaaliset häiriöt tuottavat äärettömyyksiä, jotka ilmenevät integroidessa virtuaalisen hiukkasen liikemäärän suhteen. Äärettömyydet poistetaan renormalisaatioksi kutsutulla menetelmällä. Tässä tutkielmassa renormalisoidaan valokartiomitassa kvarkkipropagaattoria, joka sisältää häiriön gluonisilmukan muodossa. Valokartiomitta on todettu hyödylliseksi käsiteltäessä DGLAP evoluutioyhtälöitä sekä sen vuoksi, että se ei sisällä FaddeevPopov-aaveita. Kuitenkin laskut, joissa esiintyy valokartiomitan gluonipropagaattori, ovat haastavia gluonipropagaatorissa esiintyvän ylimääräisen navan vuoksi. Vaikuttaa siltä, että valokartiomitassa ratkaistuja kvarkin napamassaa sekä itseisenergiaa ei ole esitetty eksplisiittisesti kirjallisuudessa. Tässä tutkielmassa n ⋅ q napaa käsitellään Mandelstam–Leibbrandt-menetelmällä. Kvarkin itseisenergia lasketaan äärelliset termit mukaanlukien, ja sen avulla muodostetaan efektiivinen kvarkkipropagaattori. Efektiivisen propagaattorin napamassa lasketaan kertaluokassa g2s. Tulokseksi saatu napamassa vastaa kovariantin mitan tulosta. Kvarkin kenttä- ja massarenormalisaatio suoritetaan myös MS-skeemassa, ja saadut renormalisaatiotermit vastaavat kirjallisuudessa esiintyviä tuloksia. Perturbative Quantum Chromodynamics includes virtual particle perturbations which generate divergences. The divergences arise from the integration over the virtual momentum, and they are eliminated by a procedure called renormalization. In this thesis, the renormalization of a gluon loop corrected quark propagator, in the light-cone gauge, is studied. The light-cone gauge is known to be advantageous because it does not include Faddeev–Popov ghosts, and when deriving the DGLAP evolution equations. However, the calculations including light-cone gauge gluon propagator are challenging due to the unphysical pole in the gluon propagator. It appears that the light-cone gauge results for the pole mass of the one-loop corrected quark propagator and the complete self energy with the finite parts have not been explicitly listed in the literature. In this thesis the unphysical pole in the gluon propagator is regulated with the Mandelstam–Leibbrandt prescription. The quark self energy is solved, including the finite terms, which is used to derive the effective quark propagator. The pole mass of the effective quark propagator is defined up to the order g 2 s , and it is found to be equal to the covariant gauge result. The quark field and mass renormalization counterterms in the MS scheme are determined and they are found to agree with the results in the literature.
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spellingShingle Tevio, Mirja Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge quantum chromodynamics renormalization light-cone gauge pole mass Teoreettinen fysiikka Theoretical Physics 4024 kvarkit hiukkasfysiikka kvanttimekaniikka quarks particle physics quantum mechanics
title Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge
title_full Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge
title_fullStr Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge
title_full_unstemmed Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge
title_short Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge
title_sort quark mass renormalization in perturbative quantum chromodynamics in light cone gauge
title_txtP Quark mass renormalization in perturbative quantum chromodynamics in light-cone gauge
topic quantum chromodynamics renormalization light-cone gauge pole mass Teoreettinen fysiikka Theoretical Physics 4024 kvarkit hiukkasfysiikka kvanttimekaniikka quarks particle physics quantum mechanics
topic_facet 4024 Teoreettinen fysiikka Theoretical Physics hiukkasfysiikka kvanttimekaniikka kvarkit light-cone gauge particle physics pole mass quantum chromodynamics quantum mechanics quarks renormalization
url https://jyx.jyu.fi/handle/123456789/73127 http://www.urn.fi/URN:NBN:fi:jyu-202012117074
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