The geometry of the Standard Model

Požar, Filip

prikaz prve stranice dokumenta The geometry of the Standard Model

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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

APA 6th Edition

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

MLA 8th Edition

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

Chicago 17th Edition

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

Harvard

Požar, F. (2022). 'The geometry of the Standard Model', Master's thesis, University of Zagreb, Faculty of Science, accessed 18 January 2025, https://urn.nsk.hr/urn:nbn:hr:217:063501

Vancouver

Požar F. The geometry of the Standard Model [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2025 January 18] Available at: https://urn.nsk.hr/urn:nbn:hr:217:063501

IEEE

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

Cite this item: https://urn.nsk.hr/urn:nbn:hr:217:063501

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Metadata

Title	The geometry of the Standard Model
Title (croatian)	Geometrija Standardnog Modela
Author	Filip Požar
Mentor	Tajron Jurić (mentor)
Mentor	Ivica Smolić (komentor)
Committee member	Ivica Smolić (predsjednik povjerenstva)
Committee member	Tajron Jurić (član povjerenstva)
Committee member	Nikola Poljak (član povjerenstva)
Committee member	Maro Cvitan (član povjerenstva)
Committee member	Petar Žugec (član povjerenstva)
Granter	University of Zagreb Faculty of Science (Department of Physics) Zagreb
Defense date and country	2022-10-10, 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)
Language	english
URN:NBN	urn:nbn:hr:217:063501
Study programme	Title: 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 resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Repository	Repository of the Faculty of Science
Created on	2022-12-05 14:16:50