Chiral phase transition: effective field theory and holography
arXiv:2412.08882 · doi:10.1103/PhysRevD.111.126004
Abstract
We consider the chiral phase transition relevant for QCD matter at finite temperature but with vanishing baryon density. Presumably, the chiral phase transition is of second order for two-flavor QCD in the chiral limit. Near the transition temperature, we apply the Schwinger-Keldysh formalism and construct a low-energy effective field theory for the system, in which fluctuations and dissipations are systematically captured. The dynamical variables involve the chiral charge densities and order parameter (chiral condensate). Via the holographic Schwinger-Keldysh technique, the effective action is further confirmed within a modified AdS/QCD model. With higher-order terms suitably neglected, the stochastic equations derived from the effective field theory resemble those of model F in the Hohenberg-Halperin classification. Within the effective field theory, we briefly discuss the spontaneous breaking of chiral symmetry and Goldstone modes.
v1: 26 pages, 2 figures v2: 26 pages, 2 figures; v3: PRD version, 30 pages, 2 figures, refs added, presentation improved significantly
References in corpus (35)
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Mimicking the QCD equation of state with a dual black hole
- Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
- Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
- A holographic critical point
- Boundary Conditions and Dualities: Vector Fields in AdS/CFT
- Dynamic universality class of the QCD critical point
- Critical point in the phase diagram of primordial quark-gluon matter from black hole physics
- Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
- Probing QCD critical point and induced gravitational wave by black hole physics
- A Study of the Properties of the QCD Phase Diagram in High-Energy Nuclear Collisions
- Bayesian location of the QCD critical point from a holographic perspective
- The QCD phase diagram and Beam Energy Scan physics: a theory overview
- Hydrodynamics in lattice models with continuous non-Abelian symmetries
- Transport and hydrodynamics in the chiral limit
- Modeling the diffusive dynamics of critical fluctuations near the QCD critical point
- Dynamics of the critical point in QCD
- Effective field theory of stochastic diffusion from gravity
- Dynamics of QCD Matter -- current status
- Phase structure and critical phenomena in 2-flavor QCD by holography
- Soft modes in hot QCD matter
- Pion dynamics in a soft-wall AdS-QCD model
- Constraints on holographic QCD phase transitions from PTA observations
- Dynamic universality class of large-N gauge theories
- All order effective action for charge diffusion from Schwinger-Keldysh holography
- An effective description of momentum diffusion in a charged plasma from holography
- U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography
- Ginzburg-Landau effective action for a fluctuating holographic superconductor
- Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
- Nearly Critical Holographic Superfluids
- Holographic Renormalisation and the Electroweak Precision Parameters
- Nearly Critical Superfluids in Keldysh-Schwinger Formalism
- Holographic Schwinger-Keldysh field theory of SU(2) diffusion
- Holographic Schwinger-Keldysh effective field theories including a non-hydrodynamic mode
- Chiral Anomalous Magnetohydrodynamics in action: effective field theory and holography