Unitarity Bounds and RG Flows in Time Dependent Quantum Field Theory

Technical Report · Thu Apr 05 00:00:00 EDT 2012

DOI:https://doi.org/10.2172/1037997· OSTI ID:1037997

Dong, Xi; Horn, Bart; Silverstein, Eva; Torroba, Gonzalo

We generalize unitarity bounds on operator dimensions in conformal field theory to field theories with spacetime dependent couplings. Below the energy scale of spacetime variation of the couplings, their evolution can strongly affect the physics, effectively shifting the infrared operator scaling and unitarity bounds determined from correlation functions in the theory. We analyze this explicitly for large-N double-trace flows, and connect these to UV complete field theories. One motivating class of examples comes from our previous work on FRW holography, where this effect explains the range of flavors allowed in the dual, time dependent, field theory.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 1037997
• Report Number(s): SLAC-PUB-14882; arXiv:1203.1680; TRN: US201208%%499
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATION FUNCTIONS
DIMENSIONS
FIELD THEORIES
HOLOGRAPHY
PHYSICS
QUANTUM FIELD THEORY
SPACE-TIME
UNITARITY
Theory-HEP
HEPTH