Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results
A. Marsh. (2016)cite arxiv:1607.03089Comment: 42 pages, 13 figures.
Abstract
A pedagogical but concise overview of fiber bundles and their connections is
provided, in the context of gauge theories in physics. The emphasis is on
defining and visualizing concepts and relationships between them, as well as
listing common confusions, alternative notations and jargon, and relevant facts
and theorems. Special attention is given to detailed figures and geometric
viewpoints, some of which would seem to be novel to the literature. Topics are
avoided which are well covered in textbooks, such as historical motivations,
proofs and derivations, and tools for practical calculations. The present paper
is best read in conjunction with the similar paper on Riemannian geometry cited
herein.
Description
Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results
%0 Journal Article
%1 marsh2016gauge
%A Marsh, Adam
%D 2016
%K review
%T Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results
%U http://arxiv.org/abs/1607.03089
%X A pedagogical but concise overview of fiber bundles and their connections is
provided, in the context of gauge theories in physics. The emphasis is on
defining and visualizing concepts and relationships between them, as well as
listing common confusions, alternative notations and jargon, and relevant facts
and theorems. Special attention is given to detailed figures and geometric
viewpoints, some of which would seem to be novel to the literature. Topics are
avoided which are well covered in textbooks, such as historical motivations,
proofs and derivations, and tools for practical calculations. The present paper
is best read in conjunction with the similar paper on Riemannian geometry cited
herein.
@article{marsh2016gauge,
abstract = {A pedagogical but concise overview of fiber bundles and their connections is
provided, in the context of gauge theories in physics. The emphasis is on
defining and visualizing concepts and relationships between them, as well as
listing common confusions, alternative notations and jargon, and relevant facts
and theorems. Special attention is given to detailed figures and geometric
viewpoints, some of which would seem to be novel to the literature. Topics are
avoided which are well covered in textbooks, such as historical motivations,
proofs and derivations, and tools for practical calculations. The present paper
is best read in conjunction with the similar paper on Riemannian geometry cited
herein.},
added-at = {2016-07-12T09:02:56.000+0200},
author = {Marsh, Adam},
biburl = {https://www.bibsonomy.org/bibtex/2a4afc5e26fd0e13a12b44f23c7be832e/vindex10},
description = {Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results},
interhash = {f9c51ee94127b430f2b5ab107f971f01},
intrahash = {a4afc5e26fd0e13a12b44f23c7be832e},
keywords = {review},
note = {cite arxiv:1607.03089Comment: 42 pages, 13 figures},
timestamp = {2016-07-12T09:02:56.000+0200},
title = {Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results},
url = {http://arxiv.org/abs/1607.03089},
year = 2016
}