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A new condition, called "Local KMS Condition", characterizing states of a quantum field to which one can ascribe, at a given spacetime point, a temperature, is introduced in this article. It will be shown that the Local KMS Condition (LKMS…

Mathematical Physics · Physics 2015-08-25 Michael Gransee , Nicola Pinamonti , Rainer Verch

On the example of a free massless and conformally coupled scalar field, it is argued that in quantum field theory in curved spacetimes with time-like Killing field, the corresponding KMS states (generalized Gibbs ensembles) at parameter…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Christoph Solveen

It is well-known that thermal equilibrium states in quantum statistical mechanics and quantum field theory can be described in a mathematically rigorous manner by means of the so-called Kubo-Martin-Schwinger (KMS) condition, which is based…

Mathematical Physics · Physics 2016-03-01 Michael Gransee

The existence of local thermal equilibrium (LTE) states for quantum field theory in the sense of Buchholz, Ojima and Roos is discussed in a model-independent setting. It is shown that for spaces of finitely many independent thermal…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Christoph Solveen

We investigate when temporal ordering becomes operationally meaningful in relativistic quantum field theory using localized detector models. A time parameter alone does not ensure that different sequences of operations are physically…

Quantum Physics · Physics 2026-04-29 Marcello Rotondo

A relativistic version of the Kubo--Martin--Schwinger boundary condition is presented which fixes the properties of thermal equilibrium states with respect to arbitrary space--time translations. This novel condition is a natural…

High Energy Physics - Theory · Physics 2007-05-23 Jacques Bros , Detlev Buchholz

We show that the Reeh-Schlieder property w.r.t. the KMS-vector is a direct consequence of locality, additivity and the relativistic KMS-condition. The latter characterises the thermal equilibrium states of a relativistic quantum field…

High Energy Physics - Theory · Physics 2015-06-26 Christian Jaekel

We resolve the long standing question of temperature dependence of uniformly moving bodies by means of a quantum statistical treatment centred on the zeroth law of thermodynamics. The key to our treatment is the result, established by…

Mathematical Physics · Physics 2015-05-13 Geoffrey L. Sewell

Given a stationary state for a noncommutative flow, we study a boundedness condition, depending on a positive parameter beta, which is weaker than the KMS equilibrium condition at inverse temperature beta. This condition is equivalent to a…

Operator Algebras · Mathematics 2007-05-23 Daniele Guido , Roberto Longo

It is shown that, under quite general conditions, thermal correlation functions in relativistic quantum field theory have stronger analyticity properties in configuration space than those imposed by the KMS-condition. These analyticity…

High Energy Physics - Theory · Physics 2009-10-31 Jacques Bros , Detlev Buchholz

We discuss the imaginary-time formalism for field theories in thermal equilibrium in uniformly accelerating frames. We show that under a Wick rotation of Minkowski spacetime, the Rindler event horizon shrinks to a point in a two-dimensional…

High Energy Physics - Theory · Physics 2025-02-20 Victor E. Ambruş , Maxim N. Chernodub

Within the framework of relativistic quantum field theory, a novel method is established which allows to distinguish non-equilibrium states admitting locally a thermodynamic interpretation. The basic idea is to compare these states with…

High Energy Physics - Phenomenology · Physics 2015-06-25 Detlev Buchholz , Izumi Ojima , Hansjoerg Roos

We study the thermalization of smeared particle detectors that couple locally to $any$ operator in a quantum field theory in curved spacetimes. We show that if the field state satisfies the KMS condition with inverse temperature $\beta$…

Quantum Physics · Physics 2021-09-07 T. Rick Perche

We provide new sufficient conditions for subcriticality of classical and quantum spin lattice systems, formulated in terms of the uniqueness of Kubo-Martin-Schwinger (KMS) states. This is achieved by exploiting a non-commutative analog of…

Mathematical Physics · Physics 2026-04-17 Nicolò Drago , Lorenzo Pettinari , Christiaan J. F. van de Ven

Thermal quantum field theories are expected to obey a relativistic KMS condition, which replaces both the relativistic spectrum condition of Wightman quantum field theory and the KMS condition, which characterises equilibrium states in…

Mathematical Physics · Physics 2014-03-18 Christian D. Jäkel , Florian Robl

The dependence of thermal field theory on the surface of quantization and on the velocity of the heat bath is investigated by working in general coordinates that are arbitrary linear combinations of the Minkowski coordinates. In the general…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Arthur Weldon

The Kubo-Martin-Schwinger condition is a widely studied fundamental property in quantum statistical mechanics which characterises the thermal equilibrium states of quantum systems. In the seventies, G. Gallavotti and E. Verboven, proposed…

Mathematical Physics · Physics 2019-04-22 Z. Ammari , A. Ratsimanetrimanana

Given a thermal field theory for some temperature $\beta^{-1}$, we construct the theory at an arbitrary temperature $ 1 / \beta'$. Our work is based on a construction invented by Buchholz and Junglas, which we adapt to thermal field…

High Energy Physics - Theory · Physics 2007-05-23 Christian Jaekel

For any local, translation-covariant quantum field theory on Minkowski spacetime, we prove that two distinct states that are invariant under the inertial time evolutions in different inertial reference frames are disjoint, i.e. neither…

Mathematical Physics · Physics 2024-09-20 Albert Georg Passegger , Rainer Verch

We investigate realizations of supersymmetry at finite temperature in terms of thermal superfields, in a thermally constrained superspace: the Grassmann coordinates are promoted to be time-dependent and antiperiodic, with a period given by…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. -P. Derendinger , C. Lucchesi
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