Effective average action in statistical physics and quantum field theory
arXiv:hep-ph/0101178 · doi:10.1142/S0217751X01004591
Abstract
An exact renormalization group equation describes the dependence of the free energy on an infrared cutoff for the quantum or thermal fluctuations. It interpolates between the microphysical laws and the complex macroscopic phenomena. We present a simple unified description of critical phenomena for O(N)-symmetric scalar models in two, three or four dimensions, including essential scaling for the Kosterlitz-Thouless transition.
34 pages,5 figures,LaTex
References in corpus (1)
Cited by in corpus (65)
- Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
- Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
- Quantum Einstein Gravity
- Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
- Fractal Spacetime Structure in Asymptotically Safe Gravity
- The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
- On the renormalization group flow of f(R)-gravity
- Asymptotic Safety of Gravity Coupled to Matter
- Renormalization group improved gravitational actions: a Brans-Dicke approach
- Bimetric Renormalization Group Flows in Quantum Einstein Gravity
- Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety
- Quantum Gravity at Astrophysical Distances?
- Running Newton Constant, Improved Gravitational Actions, and Galaxy Rotation Curves
- Matter Induced Bimetric Actions for Gravity
- Running Gauge Coupling in Asymptotically Safe Quantum Gravity
- From Big Bang to Asymptotic de Sitter: Complete Cosmologies in a Quantum Gravity Framework
- Background Independence and Asymptotic Safety in Conformally Reduced Gravity
- A class of nonlocal truncations in Quantum Einstein Gravity and its renormalization group behavior
- Entropy signature of the running cosmological constant
- Quantum Gravity Effects in the Kerr Spacetime
- The Universal RG Machine
- Conformal sector of Quantum Einstein Gravity in the local potential approximation: non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance
- Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity
- Variable Planck mass from the gauge invariant flow equation
- A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity
- Particle-hole fluctuations in the BCS-BEC Crossover
- Graviton fluctuations erase the cosmological constant
- The role of Background Independence for Asymptotic Safety in Quantum Einstein Gravity
- Asymptotic Safety, Fractals, and Cosmology
- Functional renormalization for quantum phase transitions with non-relativistic bosons
- Scale-dependent metric and causal structures in Quantum Einstein Gravity
- Renormalization group flow of Hořava-Lifshitz gravity at low energies
- Functional renormalization for trion formation in ultracold fermion gases
- Critical Phenomena in Continuous Dimension
- Renormalization group study of the four-body problem
- Primordial Entropy Production and Lambda-driven Inflation from Quantum Einstein Gravity
- Nonperturbative renormalization group beyond melonic sector: The Effective Vertex Expansion method for group fields theories
- Critical behavior of weakly interacting bosons: A functional renormalization group approach
- Group Field Theory in dimension four minus epsilon
- Critical temperature and superfluid gap of the Unitary Fermi Gas from Functional Renormalization
- The Accelerated expansion of the Universe as a crossover phenomenon
- Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The model
- Three-body loss in lithium from functional renormalization
- Infrared limit of quantum gravity
- Noether symmetry approach in pure gravity with variable G and Lambda
- Quantum correlations for the metric
- On the Possibility of Quantum Gravity Effects at Astrophysical Scales
- Progress in the solving nonperturbative renormalization group for tensorial group field theory
- Scaling relations and multicritical phenomena from Functional Renormalization
- Noether symmetry approach in matter-dominated cosmology with variable G and Lambda
- Ward-constrained melonic renormalization group flow for the rank-four tensorial group field theory
- Asymptotic Analysis of the Local Potential Approximation to the Wetterich Equation
- Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions . II. Nonzero temperature and chemical potential
- Exact flow equation for bound states
- Scale-invariance at the core of quantum black holes
- A matter-dominated cosmological model with variable and . Confrontation of theoretical predictions with observational data
- Scale Dependent Metric and Minimal Length in QEG
- Keldysh functional renormalization group for electronic properties of graphene
- Hydrodynamic collective modes for cold trapped gases
- Wilsonian approach to the interaction
- Spontaneous symmetry breaking and linear effective potentials
- A Universe from a Lagrangian Fixed Point
- Relativistic BEC extracted from a complex FRG flow equation
- Reconstruction of observed mechanical motions with Artificial Intelligence tools
- Chemical-potential flow equations for graphene with Coulomb interactions