Covariant Effective Action and One-Loop Renormalization of 2D Dilaton Gravity with Fermionic Matter
arXiv:hep-th/9308020 · doi:10.1103/PhysRevD.49.2852
Abstract
Two dimensional dilaton gravity interacting with a four-fermion model and scalars is investigated, all the coefficients of the Lagrangian being arbitrary functions of the dilaton field. The one-loop covariant effective action for 2D dilaton gravity with Majorana spinors (including the four-fermion interaction) is obtained, and the technical problems which appear in an attempt at generalizing such calculations to the case of the most general four-fermion model described by Dirac fermions are discussed. A solution to these problems is found, based on its reduction to the Majorana spinor case. The general covariant effective action for 2D dilaton gravity with the four-fermion model described by Dirac spinors is given. The one-loop renormalization of dilaton gravity with Majorana spinors is carried out and the specific conditions for multiplicative renormalizability are found. A comparison with the same theory but with a classical gravitational field is done.
LaTeX, 25 pages, july 24
References in corpus (14)
- Evanescent Black Holes
- The Stretched Horizon and Black Hole Complementarity
- Gauge Invariant Formulations of Lineal Gravity
- Liouville Models of Black Hole Evaporation
- Scalar-Tensor Quantum Gravity in Two Dimensions
- Quantum Black Holes in Two Dimensions
- Quantum Theories of Dilaton Gravity
- The Gravitational Sine-Gordon Model
- Nonsingular Lagrangians for Two Dimensional Black Holes
- One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum Gravity and Charged Black Holes
- One-loop Vilkovisky-DeWitt Counterterms for 2D Gravity plus Scalar Field Theory
- Quantum Gravity and Black Hole Dynamics in 1+1 Dimensions
- Convenient Versus Unique Effective Action Formalism in 2D Dilaton-Maxwell Quantum Gravity
- 2D Dilaton-Maxwell Gravity as a Fixed Point of the Renormalization Group
Cited by in corpus (40)
- Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
- Classical and Quantum Gravity in 1+1 Dimensions, Part I: A Unifying Approach
- Quantum dilatonic gravity in d = 2,4 and 5 dimensions
- Conformal Anomaly for Dilaton Coupled Theories from AdS/CFT Correspondence
- Trace Anomaly of Dilaton Coupled Scalars in Two Dimensions
- Hawking radiation by effective two-dimensional theories
- Induced wormholes due to quantum effects of spherically reduced matter in large N approximation
- Quantum Global Structure of de Sitter Space
- Hawking Radiation for Non-minimally Coupled Matter from Generalized 2D Black Hole Models
- Energy-momentum tensor for scalar fields coupled to the dilaton in two dimensions
- Proliferation of de Sitter Space
- Trace anomaly induced effective action for 2D and 4D dilaton coupled scalars
- De Sitter space versus Nariai Black Hole: stability in d5 higher derivative gravity
- Quantum (in)stability of 2D charged dilaton black holes and 3D rotating black holes
- One-Loop Effective Action for Spherical Scalar Field Collapse
- Possible quantum instability of primordial black holes
- Thermodynamics of Large AdS Black Holes
- Anomaly induced effective actions in even dimensions and reliability of s-wave approximation
- Nonperturbative path integral of 2d dilaton gravity and two-loop effects from scalar matter
- Weyl Anomaly of 2D Dilaton-Scalar Gravity and Hermiticity of System Operator
- Thermodynamics of Schwarzschild-(Anti-)de Sitter Black Holes with account of quantum corrections
- The nonlinear evolution of de Sitter space instabilities
- Conformal anomaly for dilaton coupled electromagnetic field
- (Non) singular Kantowski-Sachs Universe from quantum spherically reduced matter
- Unified approach to study quantum properties of primordial black holes, wormholes and of quantum cosmology
- On the Dimensional Reduction Procedure
- Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation
- Conformal anomaly for 2d and 4d dilaton coupled spinors
- Zeta function regularization in Casimir effect calculations and J.S. Dowker's contribution
- One-loop Effective Action for a Generic 2D Dilaton Gravity Theory
- Four-dimensional cosmology from dilaton coupled quantum matter in two dimensions
- Conformal Anomaly in 4D Gravity-Matter Theories Non-minimally Coupled with Dilaton
- Trace anomaly induced effective action and 2d black holes for dilaton coupled supersymmetric theories
- Report of the Detailed Calculation of the Effective Potential in Spacetimes with Topology and at Finite Temperature
- Trace Anomaly Induced Effective Action and Hawking Radiation for 2d Dilatonic Supergravity
- DILATONIC GRAVITY NEAR TWO DIMENSIONS AND ASYMPTOTIC FREEDOM OF THE GRAVITATIONAL COUPLING CONSTANT
- Unveiling horizons in quantum critical collapse
- Spontaneous magnetization of the vacuum and the strength of the magnetic field in the hot Universe
- Dilaton stabilization by massive fermion matter
- Could Fermion Masses Play a Role in the Stabilization of the Dilaton in Cosmology?