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The following theorem shows that a KMS state passes the simplest test for an equilibrium state: it is invariant under time evolution. Mathematically, this is also useful as it implies the unitary …

The KMS condition, named after after Kubo, Martin, and Schwinger, is an-other property that characterises equilibrium states. It is based on the evolution operator instead of the pressure …

THE KMS-CONDITION martin pauly January 13, 2017 Abstract This report develops the relation between periodicity in imaginary time and finite temperature for quantum field theories, …

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Apr 10, 2002 · General results on the reconstruction of local quantum theories in various non-trivial gravitational backgrounds from "Euclidian amplitudes" are presented. In particular, a general form of the...

Summary. The relativistic KMS condition introduced by Bros and Buchholz pro-vides a link between quantum statistical mechanics and quantum field theory. We show that for the P(φ)2 …

Motivations from 3d quantum gravity. Mn(C): (n × n)-matrix algebra, H: self-adjoint, σt = Ad eitH. has the KMS condition: f (t) = φ(σt(x)y), f (t + iβ) = φ(yσt(x)). The KMS condition can be …

The original C*-algebraic formulation of the KMS condition 191 was motivated by properties of Gibbs states in the thermodynamic limit, and was expressed in terms of analytic functions.

Classical KMS measures I The classicalKubo-Martin-Schwinger(KMS) condition was introduced by Gallavotti and Verbovenin the seventies. I ThePoisson bracketis given by fF;Gg:= 1 i (@ uF …

KMS condition to the C -algebraic formulation of equilibrium states in quantum statistical mechanics. Thereafter the KMS states of a C -algebra with respect to a natural one-parameter …

Determine all the KMS-states of a given dynamical system (A; ). The discontinuities of the map interpreted as phase transitions. Here is a basic example. One says \the Cuntz algebra On" …

The KMS condition relates correlation functions of observables in a thermal state. Specifically, it relates the correlation function of an observable A at time t and another observable B, to the …

First we derive stability properties of KMS states and subsequently we derive the KMS condition from stability properties. New results include a convergent perturbation expansion for …

Feb 8, 2020 · A KMS state (named after Kubo 57, Martin-Schwinger 59) is a vacuum state for a relativistic quantum field theory describing thermal equilibrium at some positive temperature T …

A simple way of finding out the "classical KMS condition" is to remember that in quantum mechanics there appears an arbitrary constant ft and almost all interesting properties of the …

The KMS condition at arbitrary ß for a state u of a C*-dynamical system (A,R, a) is stated in terms of the analytic continuation of the correlation functions n-> u(x*a,(x)) (x e A) in -i (or + ;').

Mar 5, 2025 · The Kubo-Martin-Schwinger (KMS) condition is a kind of boundary-value condition which naturally emerges in quantum statistical mechanics and related areas.

In Section III we define the correlation, response, relaxation and admittance functions of linear response theory. We give an operator representation of this functions on jft.