Thermal Green Functions in Coordinate Space for Massless Particles of any Spin

Abstract

The thermal Wightman functions for free, massless particles of spin 0, 1/2, 1, 3/2, and 2 are computed directly in coordinate space by solving the appropriate differential equation and imposing the Kubo-Martin-Schwinger condition. The solutions are valid for real, imaginary, or complex time. The Wightman functions for spin 1 gauge bosons and for spin 2 gravitons are directly related to the fundamental functions for spin 0. The Wightman functions for spin 3/2 gravitinos is directly related to that for spin 1/2 fermions. Calculations for spin 1, 3/2, and 2 are done in covariant gauges. In the deep space-like region the Wightman functions for bosons fall like $T/r$ whereas those for the fermions fall exponentially. In the deep time-like region all the Wightman functions fall exponentially.

8 pages, RevTex twocolumn

References in corpus (2)

• The structure of the graviton self-energy at finite temperature
• Green Functions in Coordinate Space for Gauge Bosons at Finite Temperature

Cited by in corpus (23)

• Entangling Power of an Expanding Universe
• Acceleration-assisted entanglement harvesting and rangefinding
• Harvesting correlations in Schwarzschild and collapsing shell spacetimes
• Harvesting correlations from thermal and squeezed coherent states
• Unruh-deWitt detectors in quantum superpositions of trajectories
• Entanglement amplification between superposed detectors in flat and curved spacetimes
• Thermal amplification of field-correlation harvesting
• Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event
• Probing the Unruh effect with an accelerated extended system
• Relativistic Quantum Thermodynamics of Moving Systems
• Quantum teleportation with relativistic communication from first principles
• Quantum Hotspots: Mean Fields, Open EFTs, Nonlocality and Decoherence Near Black Holes
• Schrödinger's cat for de Sitter spacetime
• Thermality, causality and the quantum-controlled Unruh-deWitt detector
• The Quantum Otto Heat Engine with a relativistically moving thermal bath
• How robust is the indistinguishability between quantum fluctuation seen from non-inertial frame and real thermal bath
• Asymptotic States of Accelerated Qubits with Nonzero Background Temperature
• Multi-Time Measurements in Hawking Radiation: Information at Higher-Order Correlations
• Gravitational wave emission from the CMB and other thermal fields
• Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
• Probing non-equilibrium steady states of the Klein-Gordon field with Unruh-DeWitt detectors
• Measurements in QFT: Weakly coupled local particle detectors and entanglement harvesting
• Entangled states dynamics of moving two-level atoms in a thermal field bath