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Title: Unitarity Bounds and RG Flows in Time Dependent Quantum Field Theory

Abstract

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.

Authors:
; ; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1037997
Report Number(s):
SLAC-PUB-14882
arXiv:1203.1680; TRN: US201208%%499
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATION FUNCTIONS; DIMENSIONS; FIELD THEORIES; HOLOGRAPHY; PHYSICS; QUANTUM FIELD THEORY; SPACE-TIME; UNITARITY; Theory-HEP,HEPTH

Citation Formats

Dong, Xi, Horn, Bart, Silverstein, Eva, Torroba, Gonzalo, and /Stanford U., ITP /Stanford U., Phys. Dept. /SLAC. Unitarity Bounds and RG Flows in Time Dependent Quantum Field Theory. United States: N. p., 2012. Web. doi:10.2172/1037997.
Dong, Xi, Horn, Bart, Silverstein, Eva, Torroba, Gonzalo, & /Stanford U., ITP /Stanford U., Phys. Dept. /SLAC. Unitarity Bounds and RG Flows in Time Dependent Quantum Field Theory. United States. https://doi.org/10.2172/1037997
Dong, Xi, Horn, Bart, Silverstein, Eva, Torroba, Gonzalo, and /Stanford U., ITP /Stanford U., Phys. Dept. /SLAC. 2012. "Unitarity Bounds and RG Flows in Time Dependent Quantum Field Theory". United States. https://doi.org/10.2172/1037997. https://www.osti.gov/servlets/purl/1037997.
@article{osti_1037997,
title = {Unitarity Bounds and RG Flows in Time Dependent Quantum Field Theory},
author = {Dong, Xi and Horn, Bart and Silverstein, Eva and Torroba, Gonzalo and /Stanford U., ITP /Stanford U., Phys. Dept. /SLAC},
abstractNote = {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.},
doi = {10.2172/1037997},
url = {https://www.osti.gov/biblio/1037997}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Apr 05 00:00:00 EDT 2012},
month = {Thu Apr 05 00:00:00 EDT 2012}
}