Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-11-02
JHEP0412:009,2004
Physics
High Energy Physics
High Energy Physics - Theory
Minor changes, 8 pages, 12 figures, LaTeX, JHEPclass
Scientific paper
10.1088/1126-6708/2004/12/009
I 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.
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