theorypedia
← Back to feed

F-theorem for Quantum Field Theories in Anti-de Sitter Space - CERN Document Server

cds.cern.ch

A new CERN paper extends the F-theorem — a deep law about how physical complexity must decrease as you zoom out — into the curved geometry of Anti-de Sitter space, potentially reshaping our understanding of quantum field theory's structure.

F-TheoremRenormalization GroupAnti-de Sitter/Conformal Field Theory (AdS/CFT) CorrespondenceQuantum Field Theory
F-theorem for Quantum Field Theories in Anti-de Sitter Space - CERN Document Server

Theory Briefing

  • CERN researchers introduce a regularized free energy for massive quantum field theories living in Anti-de Sitter (AdS) curved space.
  • The F-theorem states that a quantity called free energy must decrease along renormalization group flows, acting like an arrow of time for physical theories.
  • Extending this theorem to AdS geometry tests whether fundamental irreversibility principles survive in the curved spacetimes central to string theory and holography.