Exact renormalization group for wave functionals
Takaaki Kuwahara, Gota Tanaka, Asato Tsuchiya, Kazushi Yamashiro
TL;DR
This paper derives a non-perturbative functional differential equation for wave functionals in scalar field theories using the exact renormalization group, validated through perturbative checks.
Contribution
It introduces a novel non-perturbative functional differential equation for wave functionals, relevant for constructing cMERA in interacting field theories.
Findings
Derived the functional differential equation from the exact RG equation.
Validated the equation using first-order perturbation theory.
Confirmed the wave functional satisfies the derived equation at first order.
Abstract
Motivated by the construction of the cMERA for interacting field theories, we derive a non-perturbative functional differential equation for wave functionals in scalar field theories from the exact renormalization group equation. We check the validity of the equation using the perturbation theory. We calculate the wave functional up to the first-order perturbation and verify that it satisfies the equation.
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Taxonomy
TopicsMagnetic confinement fusion research · Seismic Waves and Analysis · Geophysics and Sensor Technology