On Field/String Theory Approach to Theta Dependence in Large N Yang-Mills Theory
arXiv:hep-th/9902191 · doi:10.1016/S0550-3213(99)00244-8
Abstract
The theta dependence of the vacuum energy in large N Yang-Mills theory has been studied some time ago by Witten using a duality of large N gauge theories with string theory compactified on a certain space-time. We show that within the field theory context vacuum fluctuations of the topological charge give rise to the vacuum energy consistent with the string theory computation. Furthermore, we calculate 1/N suppressed corrections to the string theory result. The reconciliation of the string and field theory approaches is based on the fact that the gauge theory instantons carry zerobrane charge in the corresponding D-brane construction of Yang-Mills theory. Given the formula for the vacuum energy we study certain aspects of stability of the false vacua of the model for different realizations of the initial conditions. The vacuum structure appears to be different depending on whether N is infinite or, alternatively, large but finite.
15 pages, RevTex; 2 references added
References in corpus (15)
- Gauge Theory Correlators from Non-Critical String Theory
- Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
- Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories
- D-Branes and Dual Gauge Theories in Type 0 String Theory
- Glueball Mass Spectra and Other Issues for Supergravity Duals of QCD Models
- Evaluation Of Glueball Masses From Supergravity
- Topological Structure of the SU(3) Vacuum
- Aspects of QCD Dynamics from String Theory
- Glueballs and Their Kaluza-Klein Cousins
- Domain Walls and Decay Rate of the Excited Vacua in the Large N Yang-Mills Theory
- A note on the glueball mass spectrum
- Modeling The Glueball Spectrum By A Closed Bosonic Membrane
- Glueball Mass Spectrum from Supergravity
- Domain Walls and Theta Dependence in QCD with an Effective Lagrangian Approach
- From Threebranes to Large N Gauge Theories
Cited by in corpus (13)
- Theta dependence of SU(N) gauge theories in the presence of a topological term
- Theta dependence of SU(N) gauge theories
- Theta-dependence of the spectrum of SU(N) gauge theories
- QCD Vacuum and Axions: What's Happening?
- A Vacuum Accumulation Solution to the Strong CP Problem
- Topological susceptibility of SU(N) gauge theories at finite temperature
- QCD at Theta ~ Pi reexamined: domain walls and spontaneous CP violation
- Vacuum Structure and the Axion Walls in Gluodynamics and QCD with Light Quarks
- On Theta Dependence of Glueballs from AdS/CFT
- Topological structure of chiral QCD vacuum
- Strong CP Problem with 10^{32} Standard Model Copies
- Julia-Toulouse approach to (d+1)-dimensional bosonized Schwinger model with an application to large N QCD
- Unconstrained SU(2) Yang-Mills Quantum Mechanics with Theta Angle