slideshow 3

Cohomology in algebra, geometry, physicsand statistics

Smooth 1-dimensional algebraic quantum field theories

Speaker’s name: 
Marco Benini
Speaker’s affiliation: 
INFN Genoa and Genoa University

 

Place: 
ZOOM meeting
Date: 
Wednesday, 14. April 2021 - 11:30 to 12:30
Abstract: 
Algebraic quantum field theory (AQFT) axiomatizes quantum field theories (QFTs) as functors A assigning to each spacetime M an algebra A(M), interpreted as the algebra of observables of a QFT over the spacetime M. To support this physical interpretation, certain physical axioms are imposed on the functors A. None of these axioms, however, addresses the following physically desirable feature: given a "smooth" family M_s of spacetimes, the family of algebras of observables A(M_s) should depend "smoothly" on the parameter s in an appropriate sense.(Speaking even more loosely, a "mild variation" of the geometry of spacetime should determine a "mild variation" of the algebra of observables.) The purpose of thistalk is to present a framework, based on stacks of categories, that allows for the smooth refinement of AQFTs mentioned above. To illustrate this framework, we will explore in detail the case of smooth 1-dimensional AQFTs. (Based on arXiv:2010.13808 [math-ph].)

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published by Hong Van Le on Fri, 19/02/2021 - 07:55