Exact evolution equation for the effective potential
read the original abstract
We derive a new exact evolution equation for the scale dependence of an effective action. The corresponding equation for the effective potential permits a useful truncation. This allows one to deal with the infrared problems of theories with massless modes in less than four dimensions which are relevant for the high temperature phase transition in particle physics or the computation of critical exponents in statistical mechanics.
This paper has not been read by Pith yet.
Forward citations
Cited by 12 Pith papers
-
The perturbative Ricci flow in gravity
A perturbative Ricci-flow formulation in gravity yields a renormalization scheme for Newton's constant that exhibits a non-Gaussian fixed point at two-loop order.
-
Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
RG-improved black hole spacetimes with scale-dependent gravitational coupling are derived as vacuum solutions to 2D Horndeski master field equations, embedding prior works and exposing implementation discrepancies.
-
Surface Functional Renormalization Group for Layered Quantum Materials
Surface fRG extension shows d-wave superconductivity from the 2D Hubbard model persists across most interlayer couplings but splits into two regimes separated by a narrow region of incommensurate spin-density-wave and...
-
Emergent AdS Geometry and Black Hole Thermodynamics from Functional Renormalization Group
Functional renormalization group applied to the O(N) vector model generates an emergent regular AdS_{d+1} geometry whose near-horizon thermodynamics reproduces the first law and Bekenstein-Hawking area law with temper...
-
Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field
Including mesonic fluctuations beyond mean field substantially modifies the phase structure of the quark-meson-diquark model, with diquark condensation dominating for strong couplings as analyzed via diquark pole mass...
-
Bianchi-I Cosmology with Radiation in Asymptotically Safe Gravity
In asymptotically safe gravity, radiation-filled Bianchi-I cosmologies show quantum corrections that soften anisotropy, while magnetic fields lead to persistent Kasner anisotropy without Lambda but isotropic de Sitter...
-
Emergence of dynamical tensor fields in composite models of gravity
Auxiliary tensor fields in composite gravity models acquire dynamical kinetic terms via FRG flows, reproducing the transverse-traceless quadratic Einstein-Hilbert structure in the spin-2 sector.
-
Unified Functional-Holographic Theory of the QCD Critical End Point
A coupled DSE-FRG-holographic model predicts the QCD critical end point at T_CEP approximately 130-135 MeV and mu_B,CEP approximately 600 MeV, with sensitivity to regulator and normalization choices.
-
Towards theory constraints on ultralight dark matter from quantum gravity
In asymptotically safe gravity, dimension-five couplings of ultralight scalar dark matter to gauge field strengths vanish and are not generated perturbatively.
-
Physics-informed operator flows and observables
Operator PIRGs complete the prior PIRG method by enabling computation of all correlation functions, demonstrated analytically in zero-dimensional phi^4 theory via vertex expansion to ten-point functions.
-
Classical Renormalization Group Equations for General Relativity
A Legendre transform establishes an exact duality between the classical Polchinski equation and the authors' classical RG equation for the gravitational effective action.
-
Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field
Including mesonic fluctuations beyond mean field in the quark-meson-diquark model substantially modifies the phase structure, with diquark condensation dominating at strong couplings as revealed by pole masses and the...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.