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One Field, Many Vacua: The Physics of Inequivalent Representations

Lecturer

Bruno Arderucio Costa (Troy U., USA)

Language

English

Schedule

27–30 Jul 2026 (4 classes)

Time

11h00 (BRT)/14h00 (UTC)

Workload

8h

Topics

• the Unruh effect
• one-particle Hilbert space structures
• Hamiltonian diagonalization
• applications to particular spacetimes]

Bibliography

The bibliography will include parts of the following references.

• William G. Unruh. “Notes on black hole evaporation”. Phys. Rev. D 14, pp. 870–892 (1976).
• Bernard S. Kay. “Linear spin-zero quantum fields in external gravitational and scalar fields I. A one particle structure for the stationary case”. Comm. Math. Phys 62, pp. 55–70 (1978).
• Bernard S. Kay and Robert M. Wald. “Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate killing horizon”. Phys. Rep. 207, pp. 49–136 (1991).
• Robert M. Wald. Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (The University of Chicago Press: Chicago, IL, 1994).
• P. Chmielowski. “States of scalar field on spacetimes with two isometries with timelike orbits”. Class. Quantum Grav. 11, pp. 41–56 (1994).
• Wolfgang Junker. “Adiabatic vacua and Hadamard states for scalar quantum fields on curved space-time”. PhD dissertation. Hamburg, Germany: U. of Hamburg, 1995. arXiv: hep-th/9507097.