6533b873fe1ef96bd12d582b
RESEARCH PRODUCT
Equivalence of Adiabatic and DeWitt-Schwinger renormalization schemes
José Navarro-salasAdrian Del Riosubject
PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsQuantum field theory in curved spacetimeFísicaFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)CosmologyCoincidenceGeneral Relativity and Quantum CosmologyRenormalizationGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)Regularization (physics)Quantum mechanicsProper timeAdiabatic processMathematical physicsdescription
We prove that adiabatic regularization and DeWitt-Schwinger point-splitting provide the same result for the renormalized expectation values of the stress-energy tensor for spin-$1/2$ fields. This generalizes the equivalence found for scalar fields, which is here recovered in a different way. We also argue that the coincidence limit of the DeWitt-Schwinger proper time expansion of the two-point function exactly agrees with the analogous expansion defined by the adiabatic regularization method at any order (for both scalar and spin-$1/2$ fields). We also illustrate the power of the adiabatic method to compute higher order DeWitt coefficients in FLRW universes.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-12-23 |