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One of the most important mathematical tools necessary for Quantum Field Theory calculations is the field propagator. Applications are always done in terms of plane waves and although this has furnished many magnificent results, one may…

High Energy Physics - Theory · Physics 2021-07-07 Luca Fabbri , Rodolfo José Bueno Rogerio

The renormalized Feynman propagator for a scalar field in the background of a cosmic dispiration (a disclination plus a screw dislocation) is derived, opening a window to investigate vacuum polarization effects around a cosmic string with…

High Energy Physics - Theory · Physics 2012-08-27 V. A. De Lorenci , E. S. Moreira,

We prove Noether-type theorems for fractional isoperimetric variational problems with Riemann-Liouville derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples, in the fractional context of the calculus…

Optimization and Control · Mathematics 2013-07-09 Gastao S. F. Frederico , Delfim F. M. Torres

In this paper we present the Feynman-de Broglie-Bohm propagator for a semiclassical formulation of the Gross-Pitaeviskii equation.

Quantum Physics · Physics 2010-01-20 J. M. F. Bassalo , P. T. S. Alencar , D. G. da Silva , A. Nassar , M. Cattani

In this paper, we show that the propagator of the dual of a general Proca-like theory, derived from the gauging iterative Noether Dualization Method, can be written by means of a simple relation between known propagators. This result is…

High Energy Physics - Theory · Physics 2009-11-10 A. P. Baeta Scarpelli , M. Botta Cantcheff , J. A. Helayel-Neto

There exist two versions of the covariant Schwinger term in the literature. They only differ by a sign. However, we shall show that this is an essential difference. We shall carefully (taking all signs into account) review the existing…

High Energy Physics - Theory · Physics 2009-10-31 C. Adam , C. Ekstrand , T. Sykora

We investigate the algebraic structure of the Feynman propagator with a general time-dependent quadratic Hamiltonian system. Using the Lie-algebraic technique we obtain a normal-ordered form of the time-evolution operator, and then the…

Quantum Physics · Physics 2009-11-13 Akihiro Ogura , Motoo Sekiguchi

We will derive a rigorous real time propagator for the Non-relativistic Quantum Mechanic $L^2$ transition probability amplitude and for the Non-relativistic wave function. The propagator will be explicitly given in terms of the time…

Mathematical Physics · Physics 2009-10-31 Ken Loo

The quark fluctuation propagator is evaluated. It defines the diffusion coefficient in the vicinity of the phase transition and the gradient term in the Ginzburg-Landau functional.

High Energy Physics - Phenomenology · Physics 2007-06-28 B. O. Kerbikov

We define covariant Lie derivatives acting on vector-valued forms on Lie algebroids and study their properties. This allows us to obtain a concise formula for the Fr\"olicher-Nijenhuis bracket on Lie algebroids.

Differential Geometry · Mathematics 2015-10-14 Antonio De Nicola , Ivan Yudin

The evolution equation for the propagator of the quantum system in the optical probability representation (optical propagator) is obtained. The relations between the optical and quantum propagators for the Schr\"odinger equation and the…

Quantum Physics · Physics 2011-04-07 Yakov A. Korennoy , Vladimir I. Man'ko

New results for the fermion propagator in a laser background are presented. We show that the all orders electron propagator can be written in a compact and appealing form as a sum of sideband poles with a matrix wave function…

High Energy Physics - Phenomenology · Physics 2015-06-03 Martin Lavelle , David McMullan

In this work we solve exactly a class of three-body propagators for the most general quadratic interactions in the coordinates, for arbitrary masses and couplings. This is done both for the constant as the time-dependent couplings and…

Quantum Physics · Physics 2009-11-13 A. de Souza Dutra

We prove existence of propagators for a time dependent Schr\"odinger equation with a new class of softened Coulomb potentials, which we allow to be time dependent, in the context of time dependent density functional theory. We compute…

Mathematical Physics · Physics 2017-04-05 Eric Stachura

Using mean--field improved gauge field configurations, we compare the results obtained for the quark propagator from Wilson fermions and Overlap fermions on a $\3$ lattice at a spacing of $a=0.125(2)$ fm.

High Energy Physics - Lattice · Physics 2010-03-04 F. D. R. Bonnet , D. B. Leinweber , A. G. Williams , J. M. Zanotti , J. B. Zhang

Propagation of the Wigner function is studied on two levels of semiclassical propagation, one based on the van-Vleck propagator, the other on phase-space path integration. Leading quantum corrections to the classical Liouville propagator…

Quantum Physics · Physics 2007-05-23 Thomas Dittrich , Luis Sandoval , Carlos Viviescas

We study certain foliated complex manifolds that behave similarly to complete nonsingular toric varieties. We classify them by combinatorial objects that we call marked fans. We describe the basic cohomology algebras of them in terms of…

Algebraic Geometry · Mathematics 2018-08-15 Hiroaki Ishida

A novel general expression is obtained for the graviton propagator from Lagrangian field theory by taking into account the necessary fact that in the functional differential approach of quantum field theory, in order to generate…

High Energy Physics - Theory · Physics 2013-11-12 E. B. Manoukian , S. Sukkhasena

We construct a spectral representation of neutrino propagator in moving matter or in external magnetic field. In both cases there exists fixed four-dimensional axis of polarization, such that the corresponding spin projectors commute with…

High Energy Physics - Phenomenology · Physics 2019-03-27 A. E. Kaloshin , D. M. Voronin

The concept of a propagator is useful and is a well-known object in diffusion NMR experiments. Here, we investigate the related concept; the propagator for the magnetisation or the Green's function of the Torrey-Bloch equations. The…

Statistical Mechanics · Physics 2015-03-25 Robin A. Damion