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A rational expansion of the Fermi density operator is proposed. This approach allows to calculate efficiently physical properties of fermionic systems at finite temperatures without solving an eigenvalue problem. Using N evaluations of the…

Computational Physics · Physics 2009-10-30 F. Gagel

The applicability of the factorization method is extended to the case of quantum fractional-differential Hamiltonians. In contrast with the conventional factorization, it is shown that the `factorization energy' is now a…

Mathematical Physics · Physics 2016-05-05 Fernando Olivar-Romero , Oscar Rosas-Ortiz

The Green's function plays a crucial role when studying the nature of quantum many-body systems, especially strongly-correlated systems. Although the development of quantum computers in the near future may enable us to compute energy…

Quantum Physics · Physics 2020-08-25 Suguru Endo , Iori Kurata , Yuya O. Nakagawa

The increasing interest in nonequilibrium effects in condensed matter theory motivates the adaption of diverse equilibrium techniques to Keldysh formalism. For methods based on multi-particle Green or vertex functions this involves a…

Strongly Correlated Electrons · Physics 2010-03-03 Severin G. Jakobs , Mikhail Pletyukhov , Herbert Schoeller

The thermal one- and two-graviton Green's function are computed using a temporal gauge. In order to handle the extra poles which are present in the propagator, we employ an ambiguity-free technique in the imaginary-time formalism. For…

High Energy Physics - Theory · Physics 2009-11-07 F. T. Brandt , B. Cuadros-Melgar , F. R. Machado

Despite temperature rise being a first-order design constraint, traditional thermal estimation techniques have severe limitations in modeling critical aspects affecting the temperature in modern-day chips. Existing thermal modeling…

Hardware Architecture · Computer Science 2023-07-25 Hameedah Sultan , Smruti R. Sarangi

In this paper we provide an alternative method to compute correlation functions in the in-in formalism, with a modified set of Feynman rules to compute loop corrections. The diagrammatic expansion is based on an iterative solution of the…

High Energy Physics - Theory · Physics 2014-01-17 Marcello Musso

We develop a generating-function formulation for the symbolic reduction of multi-loop Feynman integrals. In this framework, integration-by-parts identities are rewritten as differential equations for sector-wise generating functions, so the…

High Energy Physics - Phenomenology · Physics 2026-05-12 Bo Feng , Xiang Li , Yuanche Liu , Yanqing Ma , Yang Zhang

A formalism is discussed which simplifies the calculation of Feynman diagrams at finite temperature.

Nuclear Theory · Physics 2009-10-22 P. A. Henning

We present an exact functional formalism to deal with linear Langevin equations with arbitrary memory kernels and driven by any noise structure characterized through its characteristic functional. No others hypothesis are assumed over the…

Other Condensed Matter · Physics 2009-11-10 A. A. Budini , M. O. Caceres

The second order formalism for fermions provides a description of fermions that is very similar to that of scalars. We demonstrate that this second order formalism is equivalent to the standard Dirac formalism. We do so in terms of the…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. G. Morgan

The cumulant generating function of time-averaged current is studied from an operational viewpoint. Specifically, for interacting Brownian particles under non-equilibrium conditions, we show that the first derivative of the cumulant…

Statistical Mechanics · Physics 2015-05-30 Takahiro Nemoto , Shin-ichi Sasa

Dynamic equations for quantum fields far from equilibrium are derived by use of functional renormalisation group techniques. The obtained equations are non-perturbative and lead substantially beyond mean-field and quantum Boltzmann type…

Other Condensed Matter · Physics 2008-11-27 Thomas Gasenzer , Jan M. Pawlowski

We study non-perturbative real time correlation functions at finite temperature. In order to see whether the classical term gives a good approximation in the high temperature limit T >> \hbar\omega, we consider the first \hbar^2 quantum…

High Energy Physics - Phenomenology · Physics 2016-09-06 D. Bodeker , M. Laine , O. Philipsen

We use the proper time formalism to study a (non-self-interacting) massive Klein-Gordon theory in the two dimensional de Sitter space. We determine the exact Green's function of the theory by solving the DeWitt-Schwinger equation as well as…

High Energy Physics - Theory · Physics 2015-12-02 Ashok K. Das , Pushpa Kalauni

We here first study the state space realization of a tensor-product of a pair of rational functions. At the expense of "inflating" the dimensions, we recover the classical expressions for realization of a regular product of rational…

Optimization and Control · Mathematics 2018-12-05 Daniel Alpay , Izchak Lewkowicz

We formulate singular classical theories without involving constraints. Applying the action principle for the action (27) we develop a partial (in the sense that not all velocities are transformed to momenta) Hamiltonian formalism in the…

Mathematical Physics · Physics 2013-07-23 Steven Duplij

In this paper, we employ the generalized Bloch theory to rediscover the generalized Brillouin zone theory and follow this way to obtain the Green's function of the non-Hermitian system. We focus on a classical chiral model and give the…

Mesoscale and Nanoscale Physics · Physics 2024-05-08 Changrui Chen , Wenan Guo

We extend a path-integral approach to bosonization previously developed in the framework of equilibrium Quantum Field Theories, to the case in which time-dependent interactions are taken into account. In particular we consider a non…

High Energy Physics - Theory · Physics 2009-11-10 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

The thermodynamic formalism allows one to access the chaotic properties of equilibrium and out-of-equilibrium systems, by deriving those from a dynamical partition function. The definition that has been given for this partition function…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Cécile Appert-Rolland , Frédéric van Wijland