Hawkingovo zračenje, W algebre i anomalije

doctoral thesis

• Title (english): Hawking radiation, W algebras and anomalies
• Author: Ivica Smolić
• Mentor: Silvio Pallua (mentor)
• Mentor: Loriano Bonora (komentor); strani drzavljanin: Nije dostupno
• Committee member: Nevenko Bilić (predsjednik povjerenstva)
• Committee member: Loriano Bonora (član povjerenstva); strani drzavljanin: Nije dostupno
• Committee member: Silvio Pallua (član povjerenstva)
• Committee member: Mirko Planinić (član povjerenstva)
• Committee member: Hrvoje Štefančić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2010-07-09, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics
• Universal decimal classification (UDC): 53 - Physics

Abstract

Proširili smo analizu metode računanja bozonskog i fermionskog spektra Hawkingovog zračenja upotrebom struja višeg spina. Na početku pokažemo da je fiziku u blizini horizonta Kerrove crne rupe moguće približno opisati dvodimenzionalnom teorijom bozonskih ili fermionskih polja. Tada, upotrebom dvodimenzionalnih struja koje zadovoljavaju W_infinity algebru u bozonskom i W_1+infinity algebru u fermionskom slučaju, konstruiramo beskonačan skup kovarijantnih struja od kojih svaka nosi pripadni moment Hawkingovog zračenja. Oni su dovoljni za rekonstrukciju spektra Hawkingovog zračenja, koji se slaže s onima izračunatima upotrebom drugih metoda. Još važnije, pokazali smo da uspješnost ove metode nije utemeljena na anomalijama struja višeg spina (s obzirom da su anomalije trivijalne), već na podilazećoj W_infinity ili W_1+infinity strukturi. Naš rezultat ukazuje na postojanje simetrije u blizini horizonta, veće od one generirane Virasoro algebrom, a koja je vjerojatno povezana s nekom od W algebri.

Abstract (english)

We have extended the analysis of the method used to calculate the bosonic and fermionic Hawking radiation spectrum via higher spin currents. We start by showing that the near-horizon physics for a Kerr black hole is approximated by an effective two-dimensional field theory of bosonic or fermionic fields. Then, using two-dimensional currents of any spin that form a W_infinity algebra in the bosonic and W_1+infinity algebra in the fermionic case, we construct an infinite set of covariant currents, each of which carries the corresponding moment of the Hawking radiation. These are suficient for the reconstruction of the Hawking radiation spectrum, which agrees with the result obtained by other methods. More importantly, we show that the predictive power of this method is based not on the anomalies of the higher-spin currents (which are trivial) but on the underlying W_infinity or W_1+infinity structure. Our results point toward the existence of a symmetry larger than the Virasoro algebra, generated by some of the W algebras, in the near-horizon geometry.

• Keywords: crne rupe; Hawkingovo zračenje; anomalije; W algebre
• Keywords (english): black holes; Hawking radiation; anomalies; W algebras
• Language: croatian
• URN:NBN: urn:nbn:hr:217:159998
• Study programme: Title: Physics; Study programme type: university; Study level: postgraduate; Academic / professional title: doktor/doktorica znanosti, područje prirodnih znanosti, polje fizika (doktor/doktorica znanosti, područje prirodnih znanosti, polje fizika)
• Type of resource: Text
• Extent: 105 str.
• File origin: Born digital
• Access conditions: Open access
• Created on: 2017-08-24 11:16:00