25 citations · 87 across the 16 of their papers we have counts for
10 papers · 1 filter
The role of shape operator in gauge theories
Vaclav Zatloukal, Simon Vedl
We introduce the concept of shape operator and rotating blade (also known in the theory of embedded Riemannian manifolds as the second fundamental form and the Gauss map) in the re…
Local time of random walks on graphs
Vaclav Zatloukal
We investigate the local (or occupation) time of a discrete-time random walk on a generic graph, and present a general method for calculating sample-path averages of local time fun…
Real spinors and real Dirac equation
Vaclav Zatloukal
We reexamine the minimal coupling procedure in the Hestenes' geometric algebra formulation of the Dirac equation, where spinors are identified with the even elements of the real Cl…
Shape tensor and geometry of embedded manifolds
Vaclav Zatloukal
We review the notion of shape tensor of an embedded manifold, which efficiently combines intrinsic and extrinsic geometry, and allows for intuitive understanding of some basic conc…
Local time of Levy random walks: a path integral approach
Vaclav Zatloukal
Local time of a stochastic process quantifies the amount of time that sample trajectories spend in the vicinity of an arbitrary point . For a generic Hamiltonian, we empl…
Classical field theories from Hamiltonian constraint: Local symmetries and static gauge fields
Vaclav Zatloukal
We consider the Hamiltonian constraint formulation of classical field theories, which treats spacetime and the space of fields symmetrically, and utilizes the concept of momentum m…
Classical field theories from Hamiltonian constraint: Symmetries and conservation laws
Vaclav Zatloukal
We discuss the relation between symmetries and conservation laws in the realm of classical field theories based on the Hamiltonian constraint. In this approach, spacetime positions…
Hamiltonian constraint formulation of classical field theories
Vaclav Zatloukal
Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field…
Local-time representation of path integrals
Petr Jizba, Vaclav Zatloukal
We derive a local-time path-integral representation for a generic one-dimensional time-independent system. In particular, we show how to rephrase the matrix elements of the Bloch d…
Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory
Vaclav Zatloukal
Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field…