# Revisiting the Okubo–Marshak Argument

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## Abstract

**:**

## 1. Introduction: String-Localized Fields

#### Massless Bosonic SLF: General Theory

## 2. Dealing with String Independence

**e**$=({e}_{1},\dots ,{e}_{m})$ of string coordinates, with m the maximum number of SLFs appearing in a sub-monomial of ${S}_{1}$. For $n\ge 2$, the ${S}_{n}$ are time-ordered products that need to be constructed. Two sets of strings cannot be ordered, after chopping them into segments if necessary [33], if and only if they touch each other (see the Appendix A for details). The resulting exceptional set

**string independence**principle: colloquially, the strings “ought not to be seen”. In this paper, it will replace the “gauge principle” with advantage.

#### 2.1. The Aste–Scharf Argument Recast in SLF Theory

**Proposition**

**1.**

**Proof**

**of**

**Proposition 1.**

#### 2.2. Dealing with String Independence at Second Order: Preliminaries

#### 2.3. The Jacobi Identity Emerges

#### 2.4. The Quartic Term

## 3. Discussion

#### 3.1. Story of Two Principles

#### 3.2. Reassessing the Okubo–Marshak Argument

#### 3.3. Coda

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

## Appendix A. Time Ordering Outside the String Diagonal

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Gaß, C.; Gracia-Bondía, J.M.; Mund, J.
Revisiting the Okubo–Marshak Argument. *Symmetry* **2021**, *13*, 1645.
https://doi.org/10.3390/sym13091645

**AMA Style**

Gaß C, Gracia-Bondía JM, Mund J.
Revisiting the Okubo–Marshak Argument. *Symmetry*. 2021; 13(9):1645.
https://doi.org/10.3390/sym13091645

**Chicago/Turabian Style**

Gaß, Christian, José M. Gracia-Bondía, and Jens Mund.
2021. "Revisiting the Okubo–Marshak Argument" *Symmetry* 13, no. 9: 1645.
https://doi.org/10.3390/sym13091645