Thermofield Double States in Group Field Theory
arXiv:1910.04556 · doi:10.1142/S0217751X21500081
Abstract
Group field theories are higher-rank generalizations of matrix/tensor models, and encode the simplicial geometries of quantum gravity. In this paper, we study the thermofield double states in group field theories. The starting point is the equilibrium Gibbs states in group field theory recently found by Kotecha and Oriti, based on which we construct the thermofield double state as a "thermal" vacuum respecting the Kubo-Martin-Schwinger condition. We work with the Weyl -algebra of group fields, and a particular type of thermofield double states with single type of symmetry are obtained from the squeezed states on this Weyl algebra. The thermofield double states, when viewed as states on the group field theory Fock vacuum, are condensate states at finite flow parameter . We suggest that the equilibrium flow parameters of this type of thermofield double states in the group field theory condensate pictures of black hole horizon and quantum cosmology are related to the inverse temperatures in gravitational thermodynamics.
References in corpus (41)
- Eternal Black Holes in AdS
- Topological Lattice Models in Four Dimensions
- Colored Tensor Models - a Review
- A Model of Three-Dimensional Lattice Gravity
- 3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
- Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
- Group field theory with non-commutative metric variables
- Cosmology from Group Field Theory Formalism for Quantum Gravity
- Homogeneous cosmologies as group field theory condensates
- Diffeomorphisms in group field theories
- SL(2,C) Chern-Simons Theory, a non-Planar Graph Operator, and 4D Loop Quantum Gravity with a Cosmological Constant: Semiclassical Geometry
- Algebraic Approach to Entanglement and Entropy
- Group field theories for all loop quantum gravity
- Horizon entropy from quantum gravity condensates
- Observables in Loop Quantum Gravity with a cosmological constant
- Group field theory as the microscopic description of the quantum spacetime fluid: a new perspective on the continuum in quantum gravity
- Generalized quantum gravity condensates for homogeneous geometries and cosmology
- Entropy of Non-Extremal Black Holes from Loop Gravity
- A relational Hamiltonian for group field theory
- Thermo Field Dynamics and quantum algebras
- Black Holes as Quantum Gravity Condensates
- Impact of nonlinear effective interactions on GFT quantum gravity condensates
- Statistical Equilibrium in Quantum Gravity: Gibbs states in Group Field Theory
- Quantum hyperbolic geometry in loop quantum gravity with cosmological constant
- Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity
- Statistical equilibrium of tetrahedra from maximum entropy principle
- Cosmological evolution as squeezing: a toy model for group field cosmology
- Thermal quantum gravity condensates in group field theory cosmology
- A local first law for black hole thermodynamics
- Inequivalent coherent state representations in group field theory
- Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula
- Typicality in spin network states of quantum geometry
- Thermal representations in group field theory: squeezed vacua and quantum gravity condensates
- Black hole entropy from graviton entanglement
- Quantum Gravity with Matter via Group Field Theory
- Thermal quantum spacetime
- Dual loop quantizations of 3d gravity
- The Thermal Aspects of Relativistic Quantum Field Theory as an Observational Window in a Deeper Layer of Quantum Space-Time or: Dirac's Revenge
- Temparature as Order Parameter of Broken Scale Invariance
- Tomita-Takesaki Modular Theory vs. Quantum Information Theory
- Emergence of scalar matter from spinfoam model