Séminaire de Physique Théorique

From PT Quantum Mechanics to PT Holography

by Dr Karl Landsteiner (IFT, University Autonoma, Madrid)

Salle 1180 (Bât E2) (IDP, Tours)

Salle 1180 (Bât E2)

IDP, Tours

Institut Denis Poisson Université de Tours Facultés des Sciences et Techniques Parc de Grandmont 37200 Tours

Traditionally a Hamiltonian is taken to be a Hermitian operator on Hilbert space. It is however well-known that certain non-Hermitian operators give rise to meaningful quantum mechanics. This is the subject of PT-symmetric quantum mechanics. I will review the physical meaning and mathematical construction of such Hamiltonians. Then I will present a new holographic model that can be viewed as dual to a strongly coupled PT-symmetric quantum field theory. A particular emphasis will be given on the PT-phase transition at zero and finite temperature.