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The propagator for a noninteracting many electron system in a constant magnetic field in three space time dimensions is computed. This formula and the results of [FT1,2] are used to give a microscopic derivation of a BCS-equation with…

Condensed Matter · Physics 2015-06-25 Detlef Lehmann

We derive contour integral formulas for the real space propagator of the spin-$\tfrac12$ XXZ chain. The exact results are valid in any finite volume with periodic boundary conditions, and for any value of the anisotropy parameter. The…

Statistical Mechanics · Physics 2019-05-29 G. Z. Fehér , B. Pozsgay

The vector electric-field Helmholtz equation, containing cross-polarization terms, is factored to produce both pseudo-differential and exponential operator forms of a three-dimensional, one-way, vector, wave equation for propagation through…

Computational Physics · Physics 2024-10-24 Laurence Keefe , Austin McDaniel , Max Cubillos , Ilya Zilberter , Timothy Madden

Propagation of light through a uniaxial material is studied using field theoretical methods. The materials is modeled by cubic lattice of oriented classical Lorentz oscillators. A two-step coarse graining approach is applied. At the bulk…

Materials Science · Physics 2016-11-18 Stefan C. J. Meskers , Girish Lakhwani

The weak-field expansion of the charged fermion propagator under a uniform magnetic field is studied. Starting from Schwinger's proper-time representation, we express the charged fermion propagator as an infinite series corresponding to…

High Energy Physics - Theory · Physics 2009-10-31 Tzuu-Kang Chyi , Chien-Wen Hwang , W. F. Kao , Guey-Lin Lin , Kin-Wang Ng , Jie-Jun Tseng

We study the gluon propagator and the singlet potential in Landau gauge in the deconfined phase of SU(2) lattice gauge theory, using both the standard Wilson action and a tree-level Symanzik improved action. From the long-distance behavior…

High Energy Physics - Lattice · Physics 2009-10-30 U. M. Heller , F. Karsch , J. Rank

AdS dynamics for massive scalar field is studied both by solving exactly the equation of motion and by constructing bulk-boundary propagator. A Robertson-Walker-like metric is deduced from the familiar SO(2,n) invariant metric. The metric…

High Energy Physics - Theory · Physics 2009-11-07 Z. Chang , C. B. Guan , H. Y. Guo

We study the electron propagator in quantum electrodynamics in lower dimensions. In the case of free electrons, it is well known that the propagator in momentum space takes the simple form $S_F(p)=1/(\gamma\cdot p-m)$. In the presence of…

High Energy Physics - Theory · Physics 2014-11-20 Gabriela Murguia , Alfredo Raya , Angel Sanchez , Edward Reyes

We construct the massive scalar propagator for planar gravitational wave backgrounds propagating on Minkowski space. We represent the propagator in terms of the Bessel's function of suitably deformed nonlocal distance functions, the…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Rens van Haasteren , Tomislav Prokopec

We derive the propagator for a massive vector field on a de Sitter background of arbitrary dimension. This propagator is de Sitter invariant and possesses the proper flat spacetime and massless limits. Moreover, the retarded Green's…

General Relativity and Quantum Cosmology · Physics 2008-11-26 N. C. Tsamis , R. P. Woodard

We measured the gluon propagator in the Landau gauge fixed QCD Langevin simulation and studied the infra-red behaviour of the gluon propagator. The 4^3 x 8 lattice simulation was done for quenched $\beta=3,4,5$ and unquenched $\beta=4,…

High Energy Physics - Lattice · Physics 2007-05-23 H. Nakajima , S. Furui

It is well known that the propagator for a massive scalar field is ill-defined in the coordinate space for $d\geq2$, in particular it diverges at the light-cone; we show that by using Lorentz symmetry breaking weighted measures, an infinite…

High Energy Physics - Theory · Physics 2024-09-17 R. Cartas-Fuentevilla , S. González-Salud , R. Bárcena-Ramos , J. Berra-Montiel

We study the tomography of propagators for spin systems in the context of finite-dimensional Wigner representations, which completely characterize and visualize operators using shapes assembled from linear combinations of spherical…

Quantum Physics · Physics 2018-07-12 David Leiner , Steffen J. Glaser

This paper proposes a Poisson formula for the wave propagator of the Schwarzschild--de Sitter (SdS) metric. That is done by proving a Poisson formula relating wave propagators and scattering resonances for a class of non-compactly supported…

Analysis of PDEs · Mathematics 2026-05-27 Izak Oltman , Ben Pineau

We apply a new coordinate space method for the evaluation of lattice Feynman diagrams suggested by L\"uscher and Weisz to field theories in two dimensions. Our work is to be presented for the theories with massless propagators. The main…

High Energy Physics - Lattice · Physics 2009-10-30 Dong-Shin Shin

The Landau-gauge gluon propagator is computed for the SU(3) gauge theory on lattices up to a size of $32^3 \times 200$. We use the standard Wilson action at $\beta = 6.0$ and compare our results with previous computations using large…

High Energy Physics - Lattice · Physics 2008-11-26 O. Oliveira , P. J. Silva , E. -M. Ilgenfritz , A. Sternbeck

We compute the refractive indices of a photon propagating in strong magnetic fields on the basis of the analytic representation of the vacuum polarization tensor obtained in our previous paper. When the external magnetic field is strong…

High Energy Physics - Phenomenology · Physics 2013-04-30 Koichi Hattori , Kazunori Itakura

The one-loop effective potential for a charged scalar field in de Sitter background is studied. We derive an approximate form for the gauge boson propagator with a general covariant gauge-fixing parameter \xi. This expression is used to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bjorn Garbrecht

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

In the present work we have developed a large-N expansion for the $t-J$ model based on the path integral formulation for Hubbard-operators. Our large-N expansion formulation contains diagrammatic rules, in which the propagators and vertex…

Strongly Correlated Electrons · Physics 2009-11-07 Adriana Foussats , Andres Greco