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We present a comprehensive study of semiclassical phase-space propagation in the Wigner representation, emphasizing numerical applications, in particular as an initial-value representation. Two semiclassical approximation schemes are…

Chemical Physics · Physics 2010-07-01 Thomas Dittrich , Edgar A. Gomez , Leonardo A. Pachon

It is shown that the complex phase of the Feynman propagator is a solution of the quantum Hamilton Jacobi equation

Quantum Physics · Physics 2022-10-06 Mario Fusco Girard

The symmetries of a scalar field theory in multifractional spacetimes are analyzed. The free theory realizes the Poincar\'e algebra, and the associated symmetries are modifications of ordinary translations and Lorentz transformations. In…

High Energy Physics - Theory · Physics 2013-04-05 Gianluca Calcagni , Giuseppe Nardelli

The covariant propagator of the notivarg is found. It has the Feynmann - like form.

High Energy Physics - Theory · Physics 2010-12-13 Malgorzata Bakalarska , Waclaw Tybor

A quantum mechanical description of particle propagation on the discrete spacetime of a causal set is presented. The model involves a discrete path integral in which trajectories within the causal set are summed over to obtain a particle…

High Energy Physics - Theory · Physics 2008-11-26 Steven Johnston

We examine a large class of scalar quantum field theories where vertices are able to cancel adjacent propagators. These theories are obtained as diffeomorphisms of the field variable of a free field. Their connected correlations functions…

Mathematical Physics · Physics 2021-02-09 Paul-Hermann Balduf

The fermion propagators in the fivebrane background of type II superstring theories are calculated. The propagator can be obtained by explicitly evaluating the transition amplitude between two specific NS-R boundary states by the propagator…

High Energy Physics - Theory · Physics 2009-11-10 Noriaki Kitazawa

Time dependence for barrier penetration is considered in the phase space. An asymptotic phase-space propagator for nonrelativistic scattering on a one - dimensional barrier is constructed. The propagator has a form universal for various…

Quantum Physics · Physics 2009-10-30 M. S. Marinov , Bilha Segev

Wigner function is a quasi-distribution that provides a representation of the state of a quantum mechanical system in the phase space of position and momentum. In this paper we find a relation between Wigner function and appropriate…

Quantum Physics · Physics 2015-06-16 Pier A. Mello , Michael Revzen

The well-known physical equivalence drawn from hole theory is applied in this article. The author suggests to replace, in the part of Feynman diagram which cannot be fixed by experiments, each fermion field operator, and hence fermion…

High Energy Physics - Theory · Physics 2011-04-20 Ji Sun

From a geometric point of view, massless spinors in $3+1$ dimensions are composed of primary fields of weights $(\frac{1}{2},0)$ and $(0,\frac{1}{2})$, where the weights are defined with respect to diffeomorphisms of a sphere in momentum…

High Energy Physics - Theory · Physics 2015-06-26 Rainer Dick

Path-integral expressions for one-particle propagators in scalar and fermionic field theories are derived, for arbitrary mass. This establishes a direct connection between field theory and specific classical point-particle models. The role…

High Energy Physics - Theory · Physics 2010-11-22 J. W. van Holten

The first part of the paper is devoted to diffraction phenomena that can be expressed by fractional Fourier transforms whose orders are real numbers. According to a scalar theory, diffraction acts on the amplitude of the electric field as…

Optics · Physics 2022-03-17 Pierre Pellat-Finet , Éric Fogret

Given any (Feynman) propagator which is Lorentz and translation invariant, it is possible to construct an action functional for a scalar field such that the quantum field theory, obtained by path integral quantization, leads to this…

High Energy Physics - Theory · Physics 2020-11-10 T. Padmanabhan

In this paper, we correct an inaccurate result of previous works on the Feynman propagator in position space of a free Dirac field in (3+1)-dimensional spacetime, and we derive the generalized analytic formulas of both the scalar Feynman…

Mathematical Physics · Physics 2010-11-02 Hong-Hao Zhang , Kai-Xi Feng , Si-Wei Qiu , An Zhao , Xue-Song Li

The propagation of an off-shell spin-3/2 baryon is investigated in a consistent framework using projections corresponding to one irreducible spin-3/2 and two irreducible spin-1/2 representations arising from the usual spinor-vector…

Nuclear Theory · Physics 2007-05-23 Helmut Haberzettl

We develop a theory of Feynman propagators for the massive Klein--Gordon equation with asymptotically static perturbations. Building on our previous work on the causal propagators, we employ a framework based on propagation of singularities…

Analysis of PDEs · Mathematics 2025-07-03 Dean Baskin , Moritz Doll , Jesse Gell-Redman

In this paper DeWitt's formalism for field theories is presented; it provides a framework in which the quantization of fields possessing infinite dimensional invariance groups may be carried out in a manifestly covariant (non-Hamiltonian)…

High Energy Physics - Theory · Physics 2021-01-20 Roberto Niardi

On a large class of asymptotically flat spacetimes which includes radiative perturbations of Minkowski space, we define a distinguished global Feynman propagator for massive Klein-Gordon fields by means of the microlocal approach to…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Mikhail Molodyk , András Vasy

We study the propagation of quantum fields on $\kappa$-Minkowsi spacetime. Starting from the non-commutative partition function for a free field written in momentum space we derive the Feynman propagator and analyze the non-trivial…

High Energy Physics - Theory · Physics 2018-12-05 Michele Arzano , Luca Tiberio Consoli