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Path integral formulation with deformed antibracket

open access: yesPhysics Letters B, 2010
13 pages, LaTeX. v2: Added references. To appear in Phys.
Batalin, Igor A., Bering, Klaus
openaire   +2 more sources

Path-integral formulation for Lévy flights: evaluation of the propagator for free, linear, and harmonic potentials in the over- and underdamped limits. [PDF]

open access: yesPhysical review. E, Statistical, nonlinear, and soft matter physics, 2012
Lévy flights can be described using a Fokker-Planck equation, which involves a fractional derivative operator in the position coordinate. Such an operator has its natural expression in the Fourier domain.
Deepika Janakiraman, K. L. Sebastian
semanticscholar   +1 more source

String Propagator: a Loop Space Representation [PDF]

open access: yes, 1995
The string quantum kernel is normally written as a functional sum over the string coordinates and the world--sheet metrics. As an alternative to this quantum field--inspired approach, we study the closed bosonic string propagation amplitude in the ...
A. Aurilia   +17 more
core   +2 more sources

Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I [PDF]

open access: yes, 2005
In this paper we present the Koopman-von Neumann (KvN) formulation of classical non-Abelian gauge field theories. In particular we shall explore the functional (or classical path integral) counterpart of the KvN method.
Abad   +41 more
core   +2 more sources

An exact mapping between loop-erased random walks and an interacting field theory with two fermions and one boson

open access: yesSciPost Physics, 2020
We give a simplified proof for the equivalence of loop-erased random walks to a lattice model containing two complex fermions, and one complex boson. This equivalence works on an arbitrary directed graph.
Assaf Shapira, Kay Jörg Wiese
doaj   +1 more source

Path integral formulation of Hodge duality on the brane [PDF]

open access: yes, 2001
In the warped compactification with a single Randall-Sundrum brane, a puzzling claim has been made that scalar fields can be bound to the brane but their Hodge dual higher-rank anti-symmetric tensors cannot.
C. Kim   +12 more
core   +2 more sources

Path integrals: From quantum mechanics to photonics

open access: yesAPL Photonics, 2021
The path integral formulation of quantum mechanics, i.e., the idea that the evolution of a quantum system is determined as a sum over all the possible trajectories that would take the system from the initial to its final state of its dynamical evolution,
Charles W. Robson   +3 more
doaj   +1 more source

Numerical simulations of a spin dynamics model based on a path integral approach

open access: yesPhysical Review Research, 2023
Inspired by path integral molecular dynamics, we build a spin model, in terms of spin coherent states, from which we can compute the quantum expectation values of a spin in a constant magnetic field, at finite temperature.
Thomas Nussle   +2 more
doaj   +1 more source

Pricing weather derivatives under a tri-variate stochastic model

open access: yesScientific African, 2023
Weather derivatives are used to protect farmers in sub-Saharan Africa (SSA) from yield loss caused by climate change. However, mispricing these contracts poses a significant risk due to the interconnected nature and combined impact of the principal ...
Patrick Chidzalo   +2 more
doaj   +1 more source

Path integration in relativistic quantum mechanics [PDF]

open access: yes, 1992
The simple physics of a free particle reveals important features of the path-integral formulation of relativistic quantum theories. The exact quantum-mechanical propagator is calculated here for a particle described by the simple relativistic action ...
Redmount, Ian H., Suen, Wai-Mo
core   +2 more sources

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