Hiroki Makino

Lattice energy–momentum tensor from the Yang–Mills gradient flow—inclusion of fermion fields

Local products of fields deformed by the so-called Yang--Mills gradient flow become renormalized composite operators. This fact has been utilized to construct a correctly normalized conserved energy--momentum tensor in the lattice formulation of the pure Yang--Mills theory. In the present paper, this construction is further generalized for vector-like gauge theories containing fermions.

Renormalizability of the gradient flow in the 2D O(N) non-linear sigma model

It is known that the gauge field and its composite operators evolved by the Yang--Mills gradient flow are ultraviolet (UV) finite without any multiplicative wave function renormalization. In this paper, we prove that the gradient flow in the 2D

TeV scale mirage mediation in NMSSM

O(N)

Complex Langevin method applied to the 2D SU (2) Yang-Mills theory

non-linear sigma model possesses a similar property: The flowed

Upper bound on the mass anomalous dimension in many-flavor gauge theories: a conformal bootstrap approach

N

Proof of the renormalizability of the gradient flow

-vector field and its composite operators are UV finite without multiplicative wave function renormalization. Our proof in all orders of perturbation theory uses a

Lorentz symmetry violation in the fermion number anomaly with the chiral overlap operator

(2+1)

Phenomenology of NMSSM in TeV scale mirage mediation

-dimensional field theoretical representation of the gradient flow, which possesses local gauge invariance without gauge field. As application of the UV finiteness of the gradient flow, we construct the energy--momentum tensor in the lattice formulation of the

Large-N limit of the gradient flow in the 2D O(N) nonlinear sigma model

O(N)

4D

non-linear sigma model that automatically restores the correct normalization and the conservation law in the continuum limit.