Unitary symmetry constraints on tensorial group field theory renormalization group flow

Irreversibility of the renormalization group flow in non-unitary quantum field theory

We show irreversibility of the renormalization group flow in non-unitary but PT -invariant quantum field theory in two space-time dimensions. In addition to unbroken PT -symmetry and a positive energy spectrum, we assume standard properties of quantum field theory including a local energy-momentum tensor and relativistic invariance. This generalizes Zamolodchikov’s c-theorem to PT -symmetric Ha...

Exact BRS Symmetry realized on the Renormalization Group Flow

Using the average action defined with a continuum analog of the block spin transformation, we show the presence of gauge symmetry along the Wilsonian renormalization group flow. As a reflection of the gauge symmetry, the average action satisfies the quantum master equation(QME). We show that the quantum part of the master equation is naturally understood once the measure contribution under the ...

BRS symmetry for Yang - Mills theory with exact renormalization group ∗

In the exact renormalization group (RG) flow in the infrared cutoff Λ one needs boundary conditions. In a previous paper on SU(2) Yang-Mills theory we proposed to use the nine physical relevant couplings of the effective action as boundary conditions at the physical point Λ = 0 (these couplings are defined at some non-vanishing subtraction point µ = 0). In this paper we show perturbatively that...

Renormalization Group Renormalization Group

On Renormalization Group Flow In Matrix Model

The renormalization group flow recently found by Brézin and Zinn-Justin by integrating out redundant entries of the (N+1)×(N+1) Hermitian random matrix is studied. By introducing explicitly the RG flow parameter, and adding suitable counter terms to the matrix potential of the one matrix model, we deduce some interesting properties of the RG trajectories. In particular, the string equation for ...