Finite-Temperature Scalar Field Theory in Static de Sitter Space

Abstract

The finite-temperature one-loop effective potential for a scalar field in the static de Sitter space-time is obtained. Within this framework, by using zeta-function regularization, one can get, in the conformally invariant case, the explicit expression for the stress tensor anomaly. Its value turns out to depend on the thermal state of the system. This conclusion is different from the one derived by other authors, who considered thermal properties of ultraviolet divergences in static spaces ignoring the effects of horizons. The behaviour of the effective potential in the ground state and in de Sitter-invariant state is also studied, showing the role played by the curvature on the minima.

23 pages, JINR E2-93-46

References in corpus (1)

• Spontaneously Broken SU(5) Symmetries and One-Loop Effects in the Early Universe

Cited by in corpus (27)

• Towards a derivation of holographic entanglement entropy
• On the Description of the Riemannian Geometry in the Presence of Conical Defects
• Thermal Fields, Entropy, and Black Holes
• Conical geometry and quantum entropy of a charged Kerr black hole
• Free and self-interacting scalar fields in the presence of conical singularities
• The Heat Kernel Expansion on a Cone and Quantum Fields Near Cosmic Strings
• Spectral Geometry and One-loop Divergences on Manifolds with Conical Singularities
• Cones, Spins and Heat Kernels
• Heat-kernel Coefficients and Spectra of the Vector Laplacians on Spherical Domains with Conical Singularities
• Universal entanglement for higher dimensional cones
• Renyi Entropy and Geometry
• Heat kernels on curved cones
• Self-forces in the Spacetime of Multiple Cosmic Strings
• Free energy and entropy in Rindler and de Sitter space-times
• The heat kernel for deformed spheres
• Hyperspherical entanglement entropy
• Is the Euclidean path integral always equal to the thermal partition function?
• Induced rotation from de Sitter-Godel-de Sitter phase transition
• The trace of the heat kernel on a compact hyperbolic 3-orbifold
• Quantum field corrections to the equation of state of freely streaming matter in the Friedman-Lemaitre-Robertson-Walker space-time
• Finite Temperature Effective Potential for Gauge Models in de Sitter Space
• De Sitter entropy: on-shell versus off-shell
• Semiclassical Gravitational Effects in de Sitter Space at Finite Temperature
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• De Sitter Horizon Edge Partition Functions
• Polyakov formulas for conical singularities in two dimensions
• Observational assessment of the viability of de Sitter-Gödel-de Sitter phase transition