تقرير
Momentum Gauge Fields and Non-Commutative Space-Time
| العنوان: | Momentum Gauge Fields and Non-Commutative Space-Time |
|---|---|
| المؤلفون: | Guendelman, E., Singleton, D. |
| المصدر: | Symmetry15 (2023) 1, 126 |
| سنة النشر: | 2022 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, General Relativity and Quantum Cosmology, High Energy Physics - Theory |
| الوصف: | In this work we present a gauge principle that starts with the momentum space representation of the position operator (${\hat x}_i = i \hbar \frac{\partial}{\partial p_i}$) rather than starting with the position space representation of the momentum operator (${\hat p}_i = -i \hbar \frac{\partial}{\partial x_i}$). We discuss some simple examples with this new type of gauge theory: (i) analog solutions from ordinary gauge theory in this momentum gauge theory, (ii) Landau levels using momentum gauge fields, (iii) the emergence of non-commutative space-times from the momentum gauge fields. We find that the non-commutative space-time parameter can be momentum dependent, and one can construct a model where space-time is commutative at low momentum but becomes non-commutative at high momentum. Comment: 17 pages, this last version is to appear in the Symmetry in the Steven Weinberg Memorial special issue, discussion on mixing between momentum and ordinary magnetic fields and the relation with analogous mixings in the standard model that define photon and Z boson has been added |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3390/sym15010126 |
| URL الوصول: | http://arxiv.org/abs/2206.02638 |
| رقم الأكسشن: | edsarx.2206.02638 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3390/sym15010126 |
|---|