ar X iv : m at h - ph / 0 40 60 11 v 4 2 2 D ec 2 00 4 PATH INTEGRALS FOR PARASTATISTICS

ar X iv : m at h - ph / 0 40 60 11 v 1 4 J un 2 00 4 PATH INTEGRALS FOR PARASTATISTICS

We demonstrate that parastatistics can be quantized using path integrals by calculating the generating functionals for time-ordered products of both free and interacting parabose and parafermi fields in terms of path integrals.

ar X iv : m at h - ph / 0 40 60 11 v 3 2 1 Ju n 20 04 PATH INTEGRALS FOR PARASTATISTICS

We demonstrate that parastatistics can be quantized using path integrals by calculating the generating functionals for time-ordered products of both free and interacting parabose and parafermi fields in terms of path integrals.

ar X iv : m at h - ph / 0 40 90 16 v 1 8 S ep 2 00 4 QUANTUM INVARIANT , MODULAR FORM , AND LATTICE POINTS KAZUHIRO

We study the Witten–Reshetikhin–Turaev SU(2) invariant for the Seifert manifold with 4-singular fibers. We define the Eichler integrals of the modular forms with half-integral weight, and we show that the invariant is rewritten as a sum of the Eichler integrals. Using a nearly modular property of the Eichler integral, we give an exact asymptotic expansion of the WRT invariant in N → ∞. We revea...

ar X iv : m at h - ph / 0 41 10 85 v 6 2 0 D ec 2 00 4 An Ambiguous Statement Called ‘ Tetrad Postulate ’ and the Correct Field Equations

ar X iv : m at h - ph / 0 60 70 40 v 1 2 0 Ju l 2 00 6 Invariant Form of BK - factorization and its Applications