An Attempt Towards Field Theory of D0 Branes -- Quantum M-Field Theory

TL;DR

The paper explores a novel quantum field theory framework for D0 branes by reformulating U(N) Yang-Mills quantum mechanics with creation and annihilation fields, aiming to unify different N theories.

Contribution

Introduces a second-quantized reformulation of U(N) Yang-Mills quantum mechanics incorporating D0-brane creation and annihilation fields, advancing the field theory of D branes.

Findings

Expresses physical observables as bilinear forms of D0 fields

Provides a preliminary treatment of the large N limit within this formalism

Proposes a new approach towards a quantum M-field theory for D0 branes

Abstract

I discuss my recent attempt in search of a new framework for quantum field theory of D branes. After explaining some motivations in the background of this project, I present, as a first step towards our goal, a second-quantized reformulation of the U(N) Yang-Mills quantum mechanics in which the D0-brane creation-and-annihilation fields connecting theories with different N are introduced. Physical observables are expressed in terms of bilinear forms of the D0 fields. The large N limit is briefly treated using this new formalism.