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master's thesis
The geometry of the Standard Model
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:063501
Požar, Filip
University of Zagreb
Faculty of Science
Department of Physics

Cite this document

Požar, F. (2022). The geometry of the Standard Model (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:063501

Požar, Filip. "The geometry of the Standard Model." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:063501

Požar, Filip. "The geometry of the Standard Model." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:063501

Požar, F. (2022). 'The geometry of the Standard Model', Master's thesis, University of Zagreb, Faculty of Science, accessed 05 February 2025, https://urn.nsk.hr/urn:nbn:hr:217:063501

Požar F. The geometry of the Standard Model [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2025 February 05] Available at: https://urn.nsk.hr/urn:nbn:hr:217:063501

F. Požar, "The geometry of the Standard Model", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:063501

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Metadata
TitleThe geometry of the Standard Model
Title (croatian)Geometrija Standardnog Modela
AuthorFilip Požar
MentorTajron Jurić (mentor)
MentorIvica Smolić (komentor)
Committee memberIvica Smolić (predsjednik povjerenstva)
Committee memberTajron Jurić (član povjerenstva)
Committee memberNikola Poljak (član povjerenstva)
Committee memberMaro Cvitan (član povjerenstva)
Committee memberPetar Žugec (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2022-10-10, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
This Master’s Thesis is an almost completely self-contained outline of the Standard Model (SM) in the framework of gauge theory. The tools from differential geometry, differential topology and spin structure necessary for mathematical description of gauge theories were built and their examples in General theory of relativity (GR) were shown. Special attention was paid to principal and associated bundles which are central mathematical objects used to define gauge theories. Then the SM was shortly outlined in the style of undergraduate courses Elementary particle physics, focusing mostly on its symmetries and the structure of its Lagrangian. In the end, the developed mathematical structures were applied on the concrete gauge theory of the Standard Model by rigorously defining every term of its Lagrangian in a geometrical way.
Abstract (croatian)
Ovaj diplomski rad je gotovo samodostatno rigorozno izlaganje Standardmog modela (SM) kao baždarne teorije. Izgradili smo pojmove iz diferencijalne geometrije, diferencijalne topologije i spinske strukture nužne za matematički opis baždarnih teorija i usput ih demonstrirali primjerima na Općoj teoriji relativnosti (OTR). Posebna pozornost je dana glavnim i pridruženih svežnjevima koji su centralni matematički objekti za definiranje baždarnih teorija. Zatim je ukratko izložen SM u stilu diplomskih kolegija Fizika elementarnih čestica, fokusirajući se najviše na njegove simetrije i strukturu njegovog lagranžijana. Na kraju, primijenjene su razvijene matematičke strukture na konkretnu baždarnu teoriju Standardnog modela rigoroznim definiranjem svakog člana njegovog lagranžijana na geometrijski način.
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:217:063501
Study programmeTitle: Physics; specializations in: Research
Course: Research
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of the Faculty of Science
Created on2022-12-05 14:16:50

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