nLab Hadamard propagator



In perturbative quantum field theory the term “Hadamard propagator” refers to the vacuum expectation value of the anticommutator of field observables:

Φ a(x)Φ b(y)+Φ b(y)Φ a(x) \left\langle \mathbf{\Phi}^a(x)\mathbf{\Phi}^b(y) + \mathbf{\Phi}^b(y) \mathbf{\Phi}^a(x) \right\rangle

(e.g. Calzetta 99, III.6, Millington 14 (7.29))

Beware that this is different from the concept of Hadamard 2-point function (“Wightman propagator”).


  • Esteban Calzetta, Stochastic dynamics of correlations in quantum field theory: From Schwinger-Dyson to Boltzmann-Langevin equation (arXiv:hep-ph/9903291)

  • Peter Millington, Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics, Springer 2014

Created on January 4, 2018 at 18:37:08. See the history of this page for a list of all contributions to it.