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In this paper it is shown how the generating functional for Green's functions in relativistic quantum field theory and in thermal field theory can be evaluated in terms of a standard quantum mechanical path integral. With this calculational…

High Energy Physics - Theory · Physics 2011-07-19 D. G. C. McKeon , A. Rebhan

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 present results for many-body perturbation theory for the one-body Green's function at finite temperatures using the Matsubara formalism. Our method relies on the accurate representation of the single-particle states in standard Gaussian…

Strongly Correlated Electrons · Physics 2018-04-04 Michael Schüler , Yaroslav Pavlyukh

We consider a one-dimensional gas of spin-1/2 fermions interacting through $\delta$-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point…

Mathematical Physics · Physics 2015-01-21 O. Gamayun , A. G. Pronko , M. B. Zvonarev

We construct, using fermionic functional integrals, thermodynamic Green's functions for a weakly coupled fermion gas whose Fermi energy lies in a gap. Estimates on the Green's functions are obtained that are characteristic of the size of…

Mathematical Physics · Physics 2009-11-07 Joel Feldman , Horst Knoerrer , Eugene Trubowitz

We present a self-consistent calculation of the finite temperature effective potential for $\lambda \phi^4$ theory, using the composite operator effective potential in which an infinite series of the leading diagrams is summed up. Our…

High Energy Physics - Phenomenology · Physics 2009-10-22 G. Amelino-Camelia , S. -Y. Pi

In this paper we determine the exact fermionic spectral function of the Bloch-Nordsieck model at finite temperature. Analytic results are presented for some special parameters, for other values we have numerical results. The spectral…

High Energy Physics - Theory · Physics 2013-06-12 A. Jakovac , P. Mati

The large-distance behavior of the density-density correlation function in the Lieb-Liniger model at finite temperature is investigated by means of the recently derived nonlinear integral equations characterizing the correlation lengths. We…

Quantum Gases · Physics 2015-06-22 Andreas Klumper , Ovidiu I. Patu

At coupling strengths lambda = 1/2, 1, or 2, the Calogero-Sutherland model (CSM) is related to Brownian motion in a Wigner-Dyson random matrix ensemble with orthogonal, unitary, or symplectic symmetry. Using this relation in conjunction…

Condensed Matter · Physics 2009-10-28 M. R. Zirnbauer , F. D. M. Haldane

We study the spectral function of interacting one-dimensional fermions for an integrable lattice model away from half-filling. The divergent power-law singularity of the spectral function near the single-particle or single-hole energy is…

Strongly Correlated Electrons · Physics 2009-04-24 Rodrigo G. Pereira , Steven R. White , Ian Affleck

We apply the rotation-invariant Green's function method to study the finite-temperature properties of a $S{=}1/2$ sawtooth-chain (also called $\Delta$-chain) antiferromagnetic Heisenberg model at the fully frustrated point when the exchange…

Strongly Correlated Electrons · Physics 2023-05-09 Taras Hutak , Taras Krokhmalskii , Oleg Derzhko , Johannes Richter

We calculate the dynamic single-particle and many-particle correlation functions at non-zero temperature in one-dimensional trapped repulsive Bose gases. The decay for increasing distance between the points of these correlation functions is…

Statistical Mechanics · Physics 2009-11-10 N. M. Bogoliubov , R. K. Bullough , C. Malyshev , J. Timonen

The forced time harmonic response of a spatiotemporally-modulated elastic beam of finite length with light damping is derived using a novel Green's function approach. Closed-form solutions are found that highlight unique mode coupling…

Applied Physics · Physics 2024-09-05 Benjamin M. Goldsberry , Andrew N. Norris , Samuel P. Wallen , Michael R. Haberman

The finite temperature effective potential of the Abelian Higgs Model is studied using the self-consistent composite operator method, which sums up the contributions of daisy and superdaisy diagrams. The effect of the momentum dependence of…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. Amelino-Camelia

We consider the cumulant expansion of the PAM employing the hybridization as perturbation (Phys. Rev. B 50, 17933 (1994)), and we obtain formally exact one-electron Green's functions (GF). These GF contain effective cumulants that are as…

Strongly Correlated Electrons · Physics 2010-07-13 M. E. Foglio , T. Lobo , M. S. Figueira

In this work we study the properties of the density density correlation function of the 1-D Lieb-Liniger model with infinite repulsion in the GGE regime. The GGE describes the equilibrated system in the long time limit after a quench from a…

Quantum Gases · Physics 2014-06-18 Garry Goldstein , Natan Andrei

We consider the one-dimensional Hubbard model with the infinitely strong repulsion. The two-point dynamical temperature correlation functions are calculated. They are represented as Fredholm determinants of linear integrable integral…

High Energy Physics - Theory · Physics 2009-10-31 A. G. Izergin , A. G. Pronko , N. I. Abarenkova

Conformal field theory and Bethe ansatz are used to investigate the low energy features of the spectral function in one dimensional models which exhibit a gap in the spin or in the charge excitation spectrum. Exotic behavior is found in the…

Condensed Matter · Physics 2009-10-28 S. Sorella , A. Parola

The $S=1/2$ Heisenberg antiferromagnet is studied on the kagom\'e lattice by using a Green's function method based on an appropriate decoupling of the equations of motion. Thermodynamic properties as well as spin-spin correlation functions…

Strongly Correlated Electrons · Physics 2009-11-07 B. H. Bernhard , B. Canals , C. Lacroix

We extend finite-temperature tensor network methods to compute Matsubara imaginary-time correlation functions, building on the minimally entangled typical thermal states (METTS) and purification algorithms. While imaginary-time correlation…

Strongly Correlated Electrons · Physics 2022-05-18 Daniel Bauernfeind , Xiaodong Cao , E. Miles Stoudenmire , Olivier Parcollet