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We consider scalar field theory in a changing background field. As an example we study the simple case of a spatially varying mass for which we construct the semiclassical approximation to the propagator. The semiclassical dispersion…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

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 consider the propagation of two-photon light in a random medium. We show that the Wigner distribution of the two-photon wave function obeys an equation that is analogous to the radiative transport equation for classical light. Using this…

Optics · Physics 2012-10-19 Manabu Machida , Vadim A Markel , John C Schotland

We consider the (2+1)-dimensional gauged Thirring model in the Heisenberg picture. In this context we evaluate the vacuum polarization tensor as well as the corrected gauge boson propagator and address the issues of generation of mass and…

High Energy Physics - Theory · Physics 2016-12-21 J. T. Lunardi , L. A. Manzoni , B. M. Pimentel

This is intended to be a very basic introduction and short (and of course incomplete) overview of thermal field theory. In the first part, I introduce the thermal propagator at a very simple level and give the Feynman rules using the…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. Altherr

Let $V_\Gamma$ be a lattice periodic potential and $A$ and $\phi$ external electromagnetic potentials which vary slowly on the scale set by the lattice spacing. It is shown that the Wigner function of a solution of the Schroedinger equation…

Mathematical Physics · Physics 2012-11-27 Stefan Teufel , Gianluca Panati

In the models defined on the inhomogeneous background the propagators depend on the two space - time momenta rather than on one momentum as in the homogeneous systems. Therefore, the conventional Feynman diagrams contain extra integrations…

High Energy Physics - Phenomenology · Physics 2020-01-20 C. X. Zhang , M. A. Zubkov

We consider a tachyon field whose Fourier components correspond to spatial momenta with modulus smaller than the mass parameter. The plane wave solutions have them a time evolution which is a real exponential. The field is quantized and the…

High Energy Physics - Theory · Physics 2017-08-16 D. G. Barci , C. G. Bollini , M. C. Rocca

We construct a de Sitter invariant photon propagator in general covariant gauges. Our result is a natural generalization of the Allen-Jacobson photon propagator in Feynman gauge. Our propagator reproduces the correct response to a point…

General Relativity and Quantum Cosmology · Physics 2014-01-20 Silvije Domazet , Tomislav Prokopec

New types of relationships between Feynman integrals are presented. It is shown that Feynman integrals satisfy functional equations connecting integrals with different values of scalar invariants and masses. A method is proposed for…

High Energy Physics - Phenomenology · Physics 2008-12-18 O. V. Tarasov

We have obtained propagators in the position space as an expansion over Landau levels for the charged scalar particle, fermion, and massive vector boson in a constant external magnetic field. The summation terms in the resulting expressions…

High Energy Physics - Theory · Physics 2022-03-23 S. N. Iablokov , A. V. Kuznetsov

Using the known propagator equations for 0,1 and 2 forms in AdS_{d+1}, we find the p-form field propagator equations in dimensions where the forms are Poincare dual. Since the general equation obeyed by the propagators is linear in…

High Energy Physics - Theory · Physics 2009-10-31 Iosif Bena

A new theory makes testable predictions: (1) Higgs fields have an unconventional equation of motion. (2) Fermions have a second-order coupling to gauge fields. (3) Fermion propagators are modified at high energy. (4) There are new scalar…

High Energy Physics - Phenomenology · Physics 2007-05-23 Roland E. Allen

We have found an effective method of calculating the Wigner function, being a quantum analogue of joint probability distribution of position and momentum, for bound states of nonrelativistic hydrogen atom. The formal similarity between the…

Quantum Physics · Physics 2009-11-11 L. Praxmeyer , J. Mostowski , K. Wodkiewicz

The equation of motion for the reduced Wigner function of a system coupled to an external quantum system is presented for the specific case when the external quantum system can be modeled as a set of harmonic oscillators. The result is…

Quantum Gases · Physics 2017-05-11 Dries Sels , Fons Brosens

Representations of the Klein-Gordon and Dirac propagators are determined in a $N$ dimensional conical background for massive fields twisted by an arbitrary angle $2\pi\sigma$. The Dirac propagator is shown to be obtained from the…

High Energy Physics - Theory · Physics 2009-10-28 E. S. Moreira , Jnr.

Recently, a new definition for a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum, was developed. This distribution function is…

Quantum Physics · Physics 2016-12-23 Roy Oste , Joris Van der Jeugt

In a generalized Heisenberg/Schroedinger picture, the unitary representations of the Lorentz group may, for a massive relativistic particle, be used to attribute to waves an extra wavelength that is longer than the de Broglie wavelength.…

High Energy Physics - Theory · Physics 2011-08-31 Rudolf A. Frick

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

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
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