Construction of the Energy-Momentum Tensor for Wilson Actions

TL;DR

This paper explores how to explicitly construct the energy-momentum tensor for a real scalar field using Wilson actions and the exact renormalization group, addressing the challenge of deriving an explicit formula.

Contribution

It provides a method to explicitly formulate the energy-momentum tensor from Wilson actions, advancing understanding in quantum field theory.

Findings

Explicit construction method for the energy-momentum tensor

Application of the exact renormalization group to tensor formulation

Addresses the gap in deriving explicit formulas from Wilson actions

Abstract

Given an arbitrary Wilson action of a real scalar field, we discuss how to construct the energy-momentum tensor of the theory. Using the exact renormalization group, we can determine the energy-momentum tensor implicitly, but we are short of obtaining an explicit formula in terms of the Wilson action.