Heat kernel coefficients for compact fuzzy spaces

Simple item page
dc.creatorSasakura, Naoki
dc.date2004-11-02
dc.date2004-12-27
dc.date.accessioned2026-07-07T10:50:24Z
dc.date.available2026-07-07T10:50:24Z
dc.descriptionI discuss the trace of a heat kernel Tr[e^(-tA)] for compact fuzzy spaces. In continuum theory its asymptotic expansion for t -> +0 provides geometric quantities, and therefore may be used to extract effective geometric quantities for fuzzy spaces. For compact fuzzy spaces, however, an asymptotic expansion for t -> +0 is not appropriate because of their finiteness. It is shown that effective geometric quantities are found as coefficients of an approximate power-law expansion of the trace of a heat kernel valid for intermediate values of t. An efficient method to obtain these coefficients is presented and applied to some known fuzzy spaces to check its validity.
dc.descriptionMinor changes, 8 pages, 12 figures, LaTeX, JHEPclass
dc.identifierhttps://arxiv.org/abs/hep-th/0411029
dc.identifierhttp://arxiv.org/abs/hep-th/0411029
dc.identifierJHEP0412:009,2004
dc.identifierdoi:10.1088/1126-6708/2004/12/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184525
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleHeat kernel coefficients for compact fuzzy spaces
dc.typetext

Files

Collections

arXiv