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Related papers: Bound state solutions of scalar QED_{2+1} for zero…

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The difficulties that typically prevent numerical solutions from being obtained to finite-energy, two-body, bound-state Bethe-Salpeter equations can often be overcome by expanding solutions in terms of basis functions that obey the boundary…

Mathematical Physics · Physics 2021-02-24 G. B. Mainland

We derive a full Bern-Kosower-type rule for scalar QED starting from quantum field theory: we derive a set of rules for calculating $S$-matrix elements for any processes at any order of the coupling constant. Gauge-invariant set of diagrams…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Daikouji , M. Shino , Y. Sumino

Models with an extra dimension generally contain background scalar fields in a non-trivial configuration, whose stability must be ensured. With gravity present, the extra dimension is warped by the scalars, and the spin-0 degrees of freedom…

High Energy Physics - Theory · Physics 2011-10-07 Damien P. George

The Schwarzschild solution to the matter free, spherically symmetric Einstein equations has one free parameter, the mass. But the mass can be of any sign. What is the meaning of the negative mass solutions? The answer to this question for…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Jonathan Belletête , M. B. Paranjape

The zero curvature representation for two dimensional integrable models is generalized to spacetimes of dimension d+1 by the introduction of a d-form connection. The new generalized zero curvature conditions can be used to represent the…

High Energy Physics - Theory · Physics 2014-11-18 Orlando Alvarez , Luiz A. Ferreira , J. Sanchez Guillen

We present a covariant quantum formalism for scalar particles based on an enlarged Hilbert space. The particular physical theory can be introduced through a timeless Wheeler DeWitt-like equation, whose projection onto four-dimensional…

Quantum Physics · Physics 2020-01-08 N. L. Diaz , J. M. Matera , R. Rossignoli

This work addresses the problem of infrared mass renormalization for a scalar electron in a translation-invariant model of non-relativistic QED. We assume that the interaction of the electron with the quantized electromagnetic field…

Mathematical Physics · Physics 2007-05-23 Volker Bach , Thomas Chen , Juerg Froehlich , Israel Michael Sigal

We present rules for computing scattering amplitudes of charged scalar matter and photons, where the photon has non-zero spin Casimir $\rho$, and is therefore a continuous spin particle (CSP). The amplitudes reduce to familiar scalar QED…

High Energy Physics - Theory · Physics 2023-11-17 Philip Schuster , Natalia Toro

We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a Yang-Mills field, with or without mass term, if the spatial geometry of the underlying spacetime is homothetic to $\R[3]$.…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Claus Gerhardt

We show that recent improvements in the $O(\alpha)$ long-distance quantum electrodynamics (QED) corrections to the radiative inclusive $K_{e3}$ decay rate using the Sirlin representation are free from infrared divergences and collinear…

High Energy Physics - Phenomenology · Physics 2022-07-21 Chien-Yeah Seng , William J. Marciano , Ulf-G. Meißner

We consider two-body problem in the self-field (1+1)-dimensional quantum electrodynamics on the circle. We present two formulations of the problem which correspond to two different types of variational principles and prove that both…

High Energy Physics - Theory · Physics 2007-05-23 Fuad M. Saradzhev

We study decay of small solutions of the Born-Infeld equation in 1+1 dimensions, a quasilinear scalar field equation modeling nonlinear electromagnetism, as well as branes in String theory and minimal surfaces in Minkowski space-times. From…

Analysis of PDEs · Mathematics 2017-08-30 Miguel A. Alejo , Claudio Muñoz

The problem of a spinless particle subject to a general mixing of vector and scalar screened Coulomb potentials in a two-dimensional world is analyzed and its bounded solutions are found. Some unusual results, including the existence of a…

High Energy Physics - Theory · Physics 2009-11-11 Antonio S. de Castro

We consider a model of free fermions in a ladder geometry coupled to a nonuniform cavity mode via Peierls substitution. Since the cavity mode generates a magnetic field, no-go theorems on spontaneous photon condensation do not apply, and we…

Strongly Correlated Electrons · Physics 2023-09-27 Zeno Bacciconi , Gian Marcello Andolina , Titas Chanda , Giuliano Chiriacò , Marco Schiró , Marcello Dalmonte

On the basis of the Bethe-Salpeter Equation we developed a covariant constituent quark model, with confinement implemented by a linear potential and an instanton induced interaction explaining mass splittings and mixing of pseudoscalar…

High Energy Physics - Phenomenology · Physics 2009-10-30 Bernard Metsch

Photons and thermal photons are studied in the Rindler Wedge employing Feynman's gauge and canonical quantization. A Gupta-Bleuler-like formalism is explicitly implemented. Non thermal Wightman functions and related (Euclidean and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Moretti

This work examines the dynamical mass generation for the photon in Rarita-Schwinger QED. We focus our attention on the cases of $\omega=2,3$ dimensional spacetime. In these frameworks, it is well known that in the usual QED, the photon…

High Energy Physics - Theory · Physics 2024-12-12 M. Ghasemkhani , G. Soleimani , A. Soto , R. Bufalo

Finsler geometry is just riemannian geometry without the quadratic restriction[1]. In this paper, we study the motion of massive(non-zero rest mass) and massless particles for schwarzschild metric in finsler spacetime in the case of two…

General Relativity and Quantum Cosmology · Physics 2018-01-08 V. Sai sumith Reddy

We study the backreaction of a charged scalar quantum field in the presence of two opposite charges placed at the boundaries of a finite one-dimensional region, with attention to boundary effects. We review, correct, and extend previous…

High Energy Physics - Theory · Physics 2026-05-05 Santiago Sanz-Wuhl , Jochen Zahn

The light scalar meson spectrum is studied using the improved ladder QCD with the UA(1) breaking Kobayashi-Maskawa-'t Hooft interaction by solving the Schwinger-Dyson and Bethe-Salpeter equations. The dynamically generated…

High Energy Physics - Phenomenology · Physics 2009-11-10 Toru Umekawa , Kenichi Naito , Makoto Oka , Makoto Takizawa
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