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We show that a Green function solution can be given for a class of non-homogeneous nonlinear systems having relevance in quantum field theory. This in turn means that a quantum field theory in the strong coupling limit can be formulated and…

High Energy Physics - Theory · Physics 2008-11-26 Marco Frasca

We discuss a method for computing the generating function for the multiplicity distribution in field theories with strong time dependent external sources. At leading order, the computation of the generating function reduces to finding a…

High Energy Physics - Phenomenology · Physics 2009-11-11 Francois Gelis , Raju Venugopalan

We consider gauge invariant quark two-point Green's functions in which the gluonic phase factor follows a skew-polygonal line. Using a particular representation for the quark propagator in the presence of an external gluon field, functional…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Sazdjian

The cumulant expansion is a powerful approach for including correlation effects in electronic structure calculations beyond the GW approximation. However, current implementations are incomplete since they ignore terms that lead to partial…

Strongly Correlated Electrons · Physics 2014-02-04 J. J. Kas , J. J. Rehr , L. Reining

This article is devoted problems of electromagnetic interaction in curved spacetime. Such problems exist, in particular, when we investigate electromagnetic quantum processes near black holes. The generalization of reduction formalism…

High Energy Physics - Theory · Physics 2017-10-17 Yuriy Ostapov

We investigate nonlinear thermal transport properties of a single interacting quantum dot with two energy levels tunnel-coupled to two electrodes using nonequilibrium Green function method and Hartree-Fock decoupling approximation. In the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chen Xue-Ou , Bing Dong , X. L. Lei

Quantum walks constitute important tools in different applications, especially in quantum algorithms. To a great extent their usefulness is due to unusual diffusive features, allowing much faster spreading than their classical counterparts.…

Quantum Physics · Physics 2012-10-09 F. M. Andrade , M. G. E. da Luz

The equations-of-motion (EOM) hierarchy satisfied by the Green functions of a quantum dot embedded in an external mesoscopic network is considered within a high-order decoupling approximation scheme. Exact analytic solutions of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vyacheslavs Kashcheyevs , Amnon Aharony , Ora Entin-Wohlman

I review the quantum theory of the electron moving in a random environment. First, the quantum mechanics of individual particles scattered on a random potential is discussed. The quantum-mechanical description is extended to many-body…

Disordered Systems and Neural Networks · Physics 2021-09-13 Václav Janiš

We compute the Green's functions for scalars, fermions and vectors in the color field associated with the infinite momentum frame wavefunction of a large nucleus. Expectation values of this wavefunction can be computed by integrating over…

High Energy Physics - Phenomenology · Physics 2011-07-19 Larry McLerran , Raju Venugopalan

Path integral Monte Carlo with Green's function analysis allows the sampling of quantum mechanical properties of molecules at finite temperature. While a high-precision computation of the energy of the Born-Oppenheimer surface from path…

Quantum Physics · Physics 2007-05-23 Daejin Shin , Ming-Chak Ho , J. Shumway

We investigate scalar and spinor field theories in a constant magnetic field at finite temperature and chemical potential. In an external constant magnetic field the exact solution of the two-point Green functions are obtained by using the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

The aim of the article is to construct the S-matrix interpretation of the perturbation theory for the Wigner functions generating functional at a finite temperature. The temperature is introduced in the theory by the way typical for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. D. Manjavidze

We derive the semiclassical series for the partition function in Quantum Statistical Mechanics (QSM) from its path integral representation. Each term of the series is obtained explicitly from the (real) minima of the classical action. The…

Quantum Physics · Physics 2009-10-31 C. A. A. de Carvalho , R. M. Cavalcanti

We discuss the path-integral formulation of quantum cosmology with a massless scalar field as a sum-over-histories, with particular reference to loop quantum cosmology. Exploiting the analogy with the relativistic particle, we give a…

General Relativity and Quantum Cosmology · Physics 2012-06-05 Steffen Gielen

One-particle Green's function methods can model molecular and solid spectra at zero or non-zero temperatures. One-particle Green's functions directly provide electronic energies and one-particle properties, such as dipole moment. However,…

Chemical Physics · Physics 2021-08-24 Pavel Pokhilko , Sergei Iskakov , Chia-Nan Yeh , Dominika Zgid

The equations of time-dependent density functional theory are derived, via the expression for the quantum weak value, from ring polymer quantum theory using a symmetry between time and imaginary time. The imaginary time path integral…

Quantum Physics · Physics 2025-03-21 Russell B. Thompson , Zarin Tasneem , Yves Caudano

We derive a graph expansion for the thermal partition function of solvable two-dimensional models with boundaries. This expansion of the integration measure over the virtual particles winding around the time cycle is obtained with the help…

High Energy Physics - Theory · Physics 2020-01-08 Ivan Kostov , Didina Serban , Dinh-Long Vu

We first rewrite the perturbation expansion of the time evolution operator [An Min Wang, quant-ph/0611216] in a form as concise as possible. Then we derive out the perturbation expansion of the time-dependent complete Green operator and…

Quantum Physics · Physics 2007-05-23 An Min Wang

We develop a unified approach to both infrared and ultraviolet asymptotics of the fermion Green functions in the condensed matter systems that allow for an effective description in the framework of the Quantum Electrodynamics. By applying a…

Condensed Matter · Physics 2009-11-07 D. V. Khveshchenko