Heat kernel coefficients for compact fuzzy spaces

  title={Heat kernel coefficients for compact fuzzy spaces},
  author={Naoki Sasakura},
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… CONTINUE READING