Functional RG flow of the effective Hamiltonian action

Abstract

After a brief review of the definition and properties of the quantum effective Hamiltonian action we describe its renormalization flow by a functional RG equation. This equation can be used for a non-perturbative quantization and study also of theories with bare Hamiltonians which are not quadratic in the momenta. As an example the vacuum energy and gap of quantum mechanical models are computed. Extensions of this framework to quantum field theories are discussed. In particular one possible Lorentz covariant approach for simple scalar field theories is developed. Fermionic degrees of freedom, being naturally described by a first order formulation, can be easily accommodated in this approach.

31 pages, latex

References in corpus (5)

• Exact evolution equation for the effective potential
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Functional RG flow equation: regularization and coarse-graining in phase space
• On the connection between Hamilton and Lagrange formalism in Quantum Field Theory

Cited by in corpus (3)

• A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• Renormalisation group flow of the Jaynes-Cummings model