The theta-dependent Yang-Mills theory at finite temperature in a holographic description

Abstract

The theta-dependent gauge theories can be studied by using holographic duality through string theory on certain spacetimes. Via this correspondence we consider a stack of $N_0$ dynamical D0-branes as D-instantons in the background sourced by $N_c$ coincident non-extreme black D4-branes. According to the gauge-gravity duality this D0-D4 brane system corresponds to Yang-Mills theory with a theta angle at finite temperature. We solve the IIA supergravity action by taking account into a sufficiently small backreaction of the D-instantons and obtain an analytical solution for our D0-D4-brane configuration. Then the dual theory in the large $N_c$ limit can be holographically investigated with the gravity solution. In the dual field theory, we find the coupling constant exhibits the property of asymptotic freedom as it is expected in QCD. The contribution of the theta-dependence to the free energy gets suppressed at high temperature which is basically consistent with the calculation by using the Yang-Mills instanton. The topological susceptibility in the large $N_c$ limit vanishes and this behavior remarkably agrees with the implications from the simulation results at finite temperature. Besides we finally find a geometrical interpretation of the theta-dependence in this holographic system.

arXiv comment18 pages, 1 table

References in corpus (47)

• Large N Field Theories, String Theory and Gravity
• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Low energy hadron physics in holographic QCD
• More on a holographic dual of QCD
• Baryons And Branes In Anti de Sitter Space
• Parity violation in hot QCD: why it can happen, and how to look for it
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Possibility of spontaneous parity violation in hot QCD
• Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
• Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Thermodynamics of the brane
• A holographic model of deconfinement and chiral symmetry restoration
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Glueball Spectrum for QCD from AdS Supergravity Duality
• Holographic Nuclear Physics
• Spin-Two Glueballs, Positive Energy Theorems and the AdS/CFT Correspondence
• Glueball Decay Rates in the Witten-Sakai-Sugimoto Model
• NJL and QCD from String Theory
• Dynamical topological transitions in the massive Schwinger model with a θ-term
• From holography towards real-world nuclear matter
• Can Induced Theta Vacua be Created in Heavy Ion Collisions?
• Holographic QCD with Dynamical Flavors
• Glueball Decay in Holographic QCD
• D3-brane - D-instanton configuration and N=4 super YM theory in constant self-dual background
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Theta-dependence of the spectrum of SU(N) gauge theories
• Notes on Theta Dependence in Holographic Yang-Mills
• Holographic Instanton Liquid and chiral transition
• Theta dependence in Holographic QCD
• Dynamically flavored description of holographic QCD in the presence of a magnetic field
• Aspects of Instanton Dynamics in AdS/CFT Duality
• A broad pseudovector glueball from holographic QCD
• Matrix model and Holographic Baryons in the D0-D4 background
• A New Model of Holographic QCD and Chiral Condensate in Dense Matter
• Baryons in the Sakai-Sugimoto model in the D0-D4 background
• Holographic heavy-baryons in the Witten-Sakai-Sugimoto model with the D0-D4 background
• D0-D4 system and QCD_{3+1}
• Three-body force for baryons from the D0-D4/D8 matrix model
• Glueball-baryon interactions in holographic QCD
• Parity odd bubbles in hot QCD
• Holographic three flavor baryon in the Witten-Sakai-Sugimoto model with the D0-D4 background
• A holographic description of heavy-flavoured baryonic matter decay involving glueball
• D-instantons in Real Time Dynamics
• The interaction of glueball and heavy-light flavoured meson in holographic QCD

Cited by in corpus (7)

• Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5
• Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons
• Holographic ${\mathrm{QCD}}_3$ and Chern-Simons theory from anisotropic supergravity
• Holographic Schwinger effect in the confining background with D-instanton
• Corrections to the instanton configuration as baryon in holographic QCD
• Holographic spectroscopy of fermion with instantons
• The worldvolume fermion as baryon in holographic QCD with instanton