Results 11 to 20 of about 68,824 (259)
13 pages, 14 figures; typos corrected, references added, discussion of weight factors ...
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Continuous-Discrete Path Integral Filtering
A summary of the relationship between the Langevin equation, Fokker-Planck-Kolmogorov forward equation (FPKfe) and the Feynman path integral descriptions of stochastic processes relevant for the solution of the continuous-discrete filtering problem is ...
Bhashyam Balaji
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Q-curvature and path integral complexity
We discuss the interpretation of path integral optimization as a uniformization problem in even dimensions. This perspective allows for a systematical construction of the higher-dimensional path integral complexity in holographic conformal field theories
Hugo A. Camargo +2 more
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Relativistic Path Integrals [PDF]
Summary: An elementary theory of relativistic path integrals is developed in the Lorentz space. A path integral for a Dirac electron is formulated, in which the perturbation expansion is shown to give the same rules as those given in the more usual formulation of field theory. A geometric feature of path integrals is investigated by using Weyl's theory
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A probabilistic approach of Liouville field theory
In this article, we present the Liouville field theory, which was introduced in the eighties in physics by Polyakov as a model for fluctuating metrics in 2D quantum gravity, and outline recent mathematical progress in its study. In particular, we explain
Rhodes, Rémi, Vargas, Vincent
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The mathematical similarities between non-relativistic wavefunction propagation in quantum mechanics and image propagation in scalar diffraction theory are used to develop a novel understanding of time and paths through spacetime as a whole.
Sky Nelson-Isaacs
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The Heisenberg uncertainty principle is modified by the introduction of an observer-independent minimal length. In this work, we have considered the resonant gravitational wave detector in the modified uncertainty principle framework, where we have used ...
Soham Sen +2 more
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Chern-Simons Path Integrals in S2 × S1
Using torus gauge fixing, Hahn in 2008 wrote down an expression for a Chern-Simons path integral to compute the Wilson Loop observable, using the Chern-Simons action \(S_{CS}^\kappa\), \(\kappa\) is some parameter.
Adrian P. C. Lim
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The functional integral formulation of the Schrieffer–Wolff transformation
We revisit the Schrieffer–Wolff transformation and present a path integral version of this important canonical transformation. The equivalence between the low-energy sector of the Anderson model in the so-called local moment regime and the spin-isotropic
Farzaneh Zamani +2 more
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Harmonic Path Integral Diffusion
Harmonic Path Integral Diffusion (H-PID) introduces a novel approach to sampling from complex, continuous probability distributions by creating a time-dependent “bridge” from an initial point to the target distribution.
Hamidreza Behjoo, Michael Chertkov
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