Non-Archimedean statistical field theory
W. A. Zúñiga‐Galindo
Abstract
We construct in a rigorous mathematical way interacting quantum field theories on a [Formula: see text]-adic spacetime. The main result is the construction of a measure on a function space which allows a rigorous definition of the partition function. The advantage of the approach presented here is that all the perturbation calculations can be carried out in the standard way using functional derivatives, but in a mathematically rigorous way.
Topics & Concepts
MathematicsSpacetimeQuantum field theoryPartition function (quantum field theory)Measure (data warehouse)Field (mathematics)QuantumFunction spaceTheoretical physicsStatistical physicsPure mathematicsQuantum mechanicsComputer sciencePhysicsMathematical physicsDatabaseadvanced mathematical theoriesTopological and Geometric Data AnalysisBiofield Effects and Biophysics