Thermal expectation values of fermions on anti-de Sitter space-time
arXiv:1704.00614 · doi:10.1088/1361-6382/aa7863
Abstract
Making use of the symmetries of anti-de Sitter space-time, we derive an analytic expression for the bispinor of parallel transport, from which we construct in closed form the vacuum Feynman Green's function of the Dirac field on this background. Using the imaginary time anti-periodicity property of the thermal Feynman Green's function, we calculate the thermal expectation values of the fermion condensate and stress-energy tensor and highlight the effect of quantum corrections as compared to relativistic kinetic theory results.
36 pages, 5 figures, very minor changes, accepted for publication in Classical and Quantum Gravity
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- Exact solutions in quantum field theory under rotation
- Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string
- Quantum corrections in thermal states of fermions on anti-de Sitter space-time
- Fermionic condensate in de Sitter spacetime
- Quantum field corrections to the equation of state of freely streaming matter in the Friedman-Lemaitre-Robertson-Walker space-time
- Finite temperature charge and current densities around a cosmic string in AdS spacetime with compact dimension
- Hadamard Renormalization of a 2-Dimensional Dirac Field
- Renormalisation in maximally symmetric spaces and semiclassical gravity in Anti-de Sitter spacetime
- Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
- Topological Casimir effect for fermionic condensate in AdS spacetime with compact dimensions
- The eigenmodes for spinor quantum field theory in global de Sitter space-time