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4 papers
The Symmetric Stable Lévy Flights and the Feynman Path Integral
Agapitos Hatzinikitas
We determine the solution of the fractional spatial diffusion equation in n-dimensional Euclidean space for a "free" particle by computing the corresponding propagator. We employ b…
A note on Riemann normal coordinates
Agapitos Hatzinikitas
The goal of this note is to provide a recursive algorithm that allows one to calculate the expansion of the metric tensor up to the desired order in Riemann normal coordinates. We…
The gravitational chiral anomaly of spin-1/2 field in the presence of twisted boundary conditions for ordinary field theory
Agapitos Hatzinikitas
We calculate the chiral anomaly in the neighbourhood of the fixed point space M_h which is constructed by the group action of a discrete symmetry h on a compact manifold M. The Fey…
Classical and quantum motion on the orbifold limit of the Eguchi-Hanson metric
A. Hatzinikitas
We investigate the behaviour of a particle moving on the quotient manifold $M=C^2/Z_$ which is derived from the EH metric as the two centers approach each other. In the classical r…