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master's thesis
Kozmološki singulariteti u formalizmu integrala po putovima
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:831413
Tanfara, Mario
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Tanfara, M. (2022). Kozmološki singulariteti u formalizmu integrala po putovima (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:831413

Tanfara, Mario. "Kozmološki singulariteti u formalizmu integrala po putovima." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:831413

Tanfara, Mario. "Kozmološki singulariteti u formalizmu integrala po putovima." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:831413

Tanfara, M. (2022). 'Kozmološki singulariteti u formalizmu integrala po putovima', Master's thesis, University of Zagreb, Faculty of Science, accessed 29 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:831413

Tanfara M. Kozmološki singulariteti u formalizmu integrala po putovima [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 December 29] Available at: https://urn.nsk.hr/urn:nbn:hr:217:831413

M. Tanfara, "Kozmološki singulariteti u formalizmu integrala po putovima", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:831413

Metadata
TitleKozmološki singulariteti u formalizmu integrala po putovima
Title (english)Cosmological singularities in path integral approach
AuthorMario Tanfara
MentorIvica Smolić (mentor)
Committee memberIvica Smolić (predsjednik povjerenstva)
Committee memberMaro Cvitan (član povjerenstva)
Committee memberNikola Poljak (član povjerenstva)
Committee memberDavor Horvatić (član povjerenstva)
Committee memberMatko Milin (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2022-02-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Uvodimo formalizam integrala po putevima na primjeru nerelativističkog sustava s jednim fizikalnim stupnjem slobode. Za model zatvorenog svemira s FRLW metrikom i pozitivnom kozmološkom konstantom, gdje je jedan stupanj slobode faktor skale, analogijom definiramo mjeru funkcionalnog integrala. Raspravljamo o hamiltonijanskim sustavima s ograničenjima, medu kojima je i opća teorija relativnosti, te Fradkin–Vilkoviskyjevim teoremom dobivamo baždarno invarijantan, unitarni, uvjetno konvergentni funkcionalni integral. Po uzoru na Turoka i suradnike Picard–Lefschetzovim formalizmom identificiramo jedinstvenu relevantnu sedlenu točku akcije i jedinstvenu konturu po kojoj je apsolutna konvergencija osigurana. Postavljajući ”no-boundary” rubne uvjete, dobivamo potiskujući poluklasični faktor.
Abstract (english)
By considering a nonrelativistic system with one physical degree of freedom we introduce the path integral formalism. For a closed Universe with FLRW metric and a positive cosmological constant, where the degree of freedom is the scale factor, by analogy we define the measure of the functional integral. We discuss Hamiltonian systems with constraints, among them general relativity, and by utilizing the Fradkin– Vilkovisky theorem obtain a gauge invariant, unitary, conditionally convergent functional integral. Following the works of Turok et al. we use the Picard–Lefschetz formalism to identify a unique relevant saddle point of the action and a unique contour along which absolute convergence is certain. Imposing the ”no-boundary” initial conditions, we get a semiclassical suppression factor.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:831413
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
Created on2022-03-21 10:38:57