# Lorentz invariance vs. temperature in QFT

@article{Ojima1986LorentzIV, title={Lorentz invariance vs. temperature in QFT}, author={Izumi Ojima}, journal={Letters in Mathematical Physics}, year={1986}, volume={11}, pages={73-80} }

The Lorentz invariance of a relativistic QFT is shown to be broken spontaneously at finite temperature with a zero-energy Goldstone spectrum which does not necessarily carry a one-particle structure. The Lorentz behaviour of the temperature is determined and the relation between Gibbs states in different Lorentz frames is clarified.

## 36 Citations

Temperature as Order Parameter of Broken Scale Invariance

- Mathematics, Physics
- 2003

In algebraic quantum field theory the (inverse) temperature is shown to be a macroscopic order parameter to parametrize mutually disjoint thermal sectors arising from the broken scale invariance…

Spontaneous Symmetry Breaking of Lorentz and (Galilei) Boosts in (Relativistic) Many-Body Systems

- Physics
- 2008

We extend a result by Ojima on spontaneous symmetry breaking of Lorentz boosts in thermal (KMS) states and show that it is in fact a special case in a more general class of examples of spontaneous…

Towards a relativistic KMS-condition

- Physics
- 1994

Abstract 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…

The Reeh–Schlieder property for thermal field theories

- Physics
- 2000

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

The Reeh-Schlieder Property for Thermal Field Theories

- Physics
- 2008

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

Local Gauge Invariance and Maxwell Equation in Categorical QFT (Mathematical Aspects of Quantum Fields and Related Topics)

- Mathematics
- 2015

lkom the viewpoint of“geometry of symmetry breaking universal roles played by holonomy terms have been found in relation with Elie Cartan’s characterization of symmetric spaces: they can be regarded…

Hot Bang States of Massless Fermions

- Physics, Mathematics
- 2006

According to the characterization of local thermal equilibrium states in Local Quantum Physics proposed by Buchholz et al. microscopic and corresponding macroscopic observables are computed for the…

On the existence of equilibrium states in local quantum field theory

- Mathematics
- 1989

It is shown that any local quantum field theory admits thermodynamical equilibrium states (KMS-states) for all positive temperatures provided it satisfies a “nuclearity condition,” proposed by…

The relativistic KMS condition for the thermal n-point functions of the P(φ)_2 model

- Physics, Mathematics
- 2014

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…

Thermodynamic Properties of Non-equilibrium States in Quantum Field Theory

- Physics, Mathematics
- 2002

Abstract Within the framework of relativistic quantum field theory, a novel method is established which allows for distinguishing non-equilibrium states admitting locally a thermodynamic…

## References

SHOWING 1-7 OF 7 REFERENCES

Supersymmetry at finite temperature

- Physics
- 1984

Supersymmetry at finite temperature is investigated with the use of thermo field dynamics which is a real-time quantum field theory at finite temperature. By obtaining the supersymmetric perturbation…

Temperature and supersymmetry

- Physics
- 1981

Abstract We study equal-time correlation functions at finite temperature in field theories with global supersymmetry. Global supersymmetry is found to be broken at finite temperature; the ground…

Hamiltonian interpretation of anomalies

- Physics
- 1985

A family of quantum systems parametrized by the points of a compact space can realize its classical symmetries via a new kind of nontrivial ray representation. We show that this phenomenon in fact…

Statistical-Mechanical Theory of Irreversible Processes : I. General Theory and Simple Applications to Magnetic and Conduction Problems

- Mathematics, Physics
- 1957

A general type of fluctuation-dissipation theorem is discussed to show that the physical quantities such as complex susceptibility of magnetic or electric polarization and complex conductivity for…

Lorentz-Transformation der Wärme und der Temperatur

- Physics
- 1963

ZusammenfassungIn die übliche Herleitung der Lorentz-Transformation von Wärme und Temperatur haben sich zwei grundsätzliche Fehler eingeschlichen, nämlich1.die Verwendung einer unvollkommenen…