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We propose a general method to obtain the scalar worldline Green function on an arbitrary 1D topological space, with which the first-quantized method of evaluating 1-loop Feynman diagrams can be generalized to calculate arbitrary ones. The…

High Energy Physics - Theory · Physics 2008-10-07 Peng Dai , Warren Siegel

We compute the Green's function for the Hodge Laplacian on the symmetric spaces M\times\Sigma, where M is a simply connected n-dimensional Riemannian or Lorentzian manifold of constant curvature and \Sigma is a simply connected Riemannian…

Analysis of PDEs · Mathematics 2015-05-13 Alberto Enciso , Niky Kamran

In the phenomenology of strong interactions most physical states acquire a substantial width, and thus can only be defined in a model-independent way by pole positions and residues of the $S$-matrix. This information is incorporated in the…

High Energy Physics - Phenomenology · Physics 2023-07-18 Andreas Crivellin , Martin Hoferichter

In order to investigate the phenomenological implications of allowing gauge fields to propagate in warped spaces of more than five dimensions, we consider a toy model of a space warped by the presence of a anisotropic bulk cosmological…

High Energy Physics - Phenomenology · Physics 2011-01-05 Paul R. Archer

The Green function formalism with a consistent account for phonon coupling (PC), based on the self-consistent theory of finite Fermi-systems, is applied for pygmy- and giant multipole resonances in magic nuclei with the aim to consider…

Nuclear Theory · Physics 2020-03-06 S. Kamerdzhiev , M. Shitov

We show that cluster algorithms for quantum models have a meaning independent of the basis chosen to construct them. Using this idea, we propose a new method for measuring with little effort a whole class of Green's functions, once a…

Statistical Mechanics · Physics 2015-06-25 R. Brower , S. Chandrasekharan , U. -J. Wiese

Hole and spin Green's functions of the two-dimensional t-J model of the Cu-O planes are calculated in an approximation which retains the rotation symmetry in the paramagnetic state and has no presumed magnetic ordering. In this…

Strongly Correlated Electrons · Physics 2007-05-23 A. Sherman , M. Schreiber

An atomistic to continuum model for a graphene sheet undergoing bending is presented. Under the assumption that the atomic interactions are governed by a harmonic approximation of the 2nd-generation Brenner REBO (reactive empirical…

Mathematical Physics · Physics 2018-04-18 Cesare Davini , Antonino Favata , Roberto Paroni

We show that Green functions of second-order differential operators with singular or unbounded coefficients can have an anomalous behaviour in comparison to the well-known properties of Green functions of operators with bounded…

High Energy Physics - Theory · Physics 2008-11-26 Z. Haba

In this article, we present the general form of the full electromagnetic Green function which is suitable for the application in bulk materials physics. In particular, we show how the seven adjustable parameter functions of the free Green…

Classical Physics · Physics 2019-03-13 G. A. H. Schober , R. Starke

Holes in a Mott insulator are represented by spinless fermions in the fermion-boson model introduced by Edwards. Although the physically interesting regime is for low to moderate fermion density the model has interesting properties over the…

Strongly Correlated Electrons · Physics 2015-05-19 D M Edwards , S Ejima , A Alvermann , H Fehske

In this thesis, we investigate several aspects of models with a multiplicity of Higgs bosons. We start by focusing on models with two Higgs doublets. We claim that one of the most used models in the literature -- the so-called real…

High Energy Physics - Phenomenology · Physics 2022-12-07 Duarte Fontes

We investigate the behavior of the Green functions of Schroedinger operators near the diagonal. The only non-trivial cases, where the on-diagonal singularities are non-zero and do not depend on the spectral parameter, are two and three…

Mathematical Physics · Physics 2007-05-23 Jochen Bruening , Vladimir Geyler , Konstantin Pankrashkin

Green's functions in Physics have proven to be a valuable tool for understanding fundamental concepts in different branches, such as electrodynamics, solid-state and many -body problems. In quantum mechanics advanced courses, Green's…

Physics Education · Physics 2022-10-05 William J. Herrera , Herbert Vinck-Posada , Shirley Gomez Paez

We introduce a general approach to traces that we consider as linear continuous functionals on some function space where we focus on some special choices for that space. This leads to an integral calculus for the computation of the precise…

Analysis of PDEs · Mathematics 2025-10-28 Moritz Schönherr , Friedemann Schuricht

We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltonians of the individual layers are assumed to be quadratic…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Kiryl Piasotski , Mikhail Pletyukhov , Alexander Shnirman

We derive the second variation Lagrangian of the Randall-Sundrum model with two branes, study its gauge invariance and diagonalize it in the unitary gauge. We also show that the effective four-dimensional theory looks different on different…

High Energy Physics - Theory · Physics 2009-11-07 Edward E. Boos , Yuri A. Kubyshin , Mikhail N. Smolyakov , Igor P. Volobuev

We provide explicit representations of Green's functions for general linear fractional differential operators with {\it variable coefficients} and Riemann-Liouvilles derivatives. We assume that all their coefficients are continuous in $[0,…

Mathematical Physics · Physics 2013-09-05 Myong-Ha Kim , Hyong-Chol O

A general expression for the Green's function of a system of $N$ particles (bosons/fermions) interacting by contact potentials, including impurities with Dirac-delta type potentials is derived. In one dimension for $N>2$ bosons from our…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Z. Á. Németh , J. Cserti , G. Vattay

Using Wigner transforms of Green functions, we discuss non-equilibrium generalizations of spectral functions and occupation numbers. We develop methods for computing time-dependent spectral functions in conformal field theories…

High Energy Physics - Theory · Physics 2014-02-04 V. Balasubramanian , A. Bernamonti , B. Craps , V. Keränen , E. Keski-Vakkuri , B. Müller , L. Thorlacius , J. Vanhoof