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It is shown that in a scalar quantum field theory at high temperatures we can compute even time dependent observables from an effective theory, which can be interpreted as a (nonlocal) classical statistical field theory. We examine the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Antal Jakovac

We use a diagrammatic hopping expansion to calculate finite-temperature Green functions of the Bose-Hubbard model which describes bosons in an optical lattice. This technique allows for a summation of subsets of diagrams, so the divergence…

Statistical Mechanics · Physics 2013-05-30 Matthias Ohliger , Axel Pelster

We calculate the effect of a quadratic term in the energy dispersion on the low-energy behavior of the Green's function of the spinless Tomonaga-Luttinger model (TLM). Assuming that for small wave-vectors q = k - k_F the fermionic…

Strongly Correlated Electrons · Physics 2009-10-31 Tom Busche , Peter Kopietz

We develop a Monte Carlo sampling algorithm to numerically evaluate the Lehmann representation for the finite temperature single-particle Green's function in the repulsive Lieb-Liniger model. This allows us to determine the spectral…

Statistical Mechanics · Physics 2026-05-20 Riccardo Senese , Fabian H. L. Essler

To model a realistic situation for the beginning we consider massive real scalar $\phi^4$ theory in a (1+1)-dimensional asymptotically static Minkowski spacetime with an intermediate stage of expansion. To have an analytic headway we assume…

High Energy Physics - Theory · Physics 2018-02-28 Emil T. Akhmedov , Francesco Bascone

This work concerns the dynamical two-point spin correlation functions of the transverse Ising quantum chain at finite (non-zero) temperature, in the universal region near the quantum critical point. They are correlation functions of twist…

Mathematical Physics · Physics 2009-11-13 Benjamin Doyon , Adam Gamsa

We demonstrate how to compute real-time Green's functions for a class of finite temperature field theories from their AdS gravity duals. In particular, we reproduce the two-by-two Schwinger-Keldysh matrix propagator from a gravity…

High Energy Physics - Theory · Physics 2007-05-23 C. P. Herzog , D. T. Son

Establishing a description for confinement is not something simple. In order to try to understand a little about this phenomenon, we will explore the thermodynamics of models that try to describe it in terms of propagators with violation of…

High Energy Physics - Theory · Physics 2018-04-27 A. V. Silva , B. W. Mintz

In this paper, we give a simple diagrammatic identification of the unique combination of the causal n-point vertex functions in the real time formalism that would coincide with the corresponding functions obtained in the imaginary time…

High Energy Physics - Theory · Physics 2016-08-25 F. T. Brandt , Ashok Das , J. Frenkel , A. J. da Silva

We find a relation between the semiclassical approximation of the temperature (Matsubara) 2-point correlator and the corresponding classical Green function in real time at finite temperature. The anharmonic oscillator at finite temperature…

High Energy Physics - Phenomenology · Physics 2009-12-30 A. Bochkarev

We develop a new semiclassical approach, which starts with the density matrix given by the Euclidean time path integral with fixed coinciding endpoints, and proceed by identifying classical (minimal Euclidean action) path, to be referred to…

High Energy Physics - Theory · Physics 2016-06-01 M. A. Escobar-Ruiz , E. Shuryak , A. V. Turbiner

The effects of quantum fluctuations in fields confined by background configurations may be simply and transparently computed using the Green's function approach pioneered by Schwinger. Not only can total energies and surface forces be…

High Energy Physics - Theory · Physics 2007-05-23 K. A. Milton , I. Cavero-Pelaez , K. Kirsten

We generalize Gopakumar's microscopic derivation of Witten diagrams in large N free quantum field theory [1] to interacting theories in perturbative expansion. For simplicity we consider a matrix scalar field with $\Phi^h$ interaction in d…

High Energy Physics - Theory · Physics 2022-12-01 Domingo Gallegos , Umut Gursoy , Natale Zinnato

We calculate the self-energy at finite temperature in scalar $\lambda\phi ^4$ theory to second order in a modified perturbation expansion. Using the renormalisation group equation to tame the logarithms in momentum, it gives an equation to…

High Energy Physics - Theory · Physics 2007-05-23 S. Mallik , K. Mukherjee

At finite temperature, conserved charges undergo thermal fluctuations in a quantum many-body system in the grand canonical ensemble. The full structure of the fluctuations of the total U(1) charge $Q$ can be succinctly captured by the…

Strongly Correlated Electrons · Physics 2025-05-07 Kang-Le Cai , Meng Cheng

The definitions of scattering matrix and inclusive scattering matrix in the framework of formulation of quantum field theory in terms of associative algebras with involution are presented. The scattering matrix is expressed in terms of…

High Energy Physics - Theory · Physics 2022-10-11 Albert Schwarz

A recently proposed generating functional allows the construction of the full set of n-point Green functions in QCD at high temperature and at distances larger than 1/gT. One may then learn how the system maintains its thermal equilibrium…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Guerin

We calculate, to one-loop order, the ln (T) contributions of 3-point functions in the \phi^3 and Yang-Mills theory at high temperature. We find that these terms are Lorentz invariant and have the same structure as the ultraviolet divergent…

High Energy Physics - Theory · Physics 2009-10-30 F. T. Brandt , J. Frenkel

We compute the finite temperature density response function of nonrelativistic cold fermions with an isotropic condensate. The pair-breaking contribution to the response function is evaluated in the limit of small three-momentum transfers q…

Nuclear Theory · Physics 2010-04-29 Armen Sedrakian , Jochen Keller

The optimized linear $\delta$-expansion is applied to the $\lambda \phi^4$ theory at high temperature. Using the imaginary time formalism the thermal mass is evaluated perturbatively up to order $\delta^2$. A variational procedure…

High Energy Physics - Phenomenology · Physics 2014-11-17 Marcus B. Pinto , Rudnei O. Ramos