Anatomy of a gauge theory
Abstract
We exhibit the role of Hochschild cohomology in quantum field theory with particular emphasis on gauge theory and DysonSchwinger equations, the quantum equations of motion. These equations emerge from Hopf and Lie algebra theory and free quantum field theory only. In the course of our analysis, we exhibit an intimate relation between the SlavnovTaylor identities for the couplings and the existence of Hopf subalgebras defined on the sum of all graphs at a given loop order, surpassing the need to work on single diagrams.
 Authors:
 IHES, 35 rte. de Chartres, 91440 BuressurYvette (France). Email: kreimer@ihes.fr
 Publication Date:
 OSTI Identifier:
 20845946
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics (New York); Journal Volume: 321; Journal Issue: 12; Other Information: DOI: 10.1016/j.aop.2006.01.004; PII: S00034916(06)000248; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; DYSON REPRESENTATION; EQUATIONS OF MOTION; GAUGE INVARIANCE; LIE GROUPS; QUANTUM FIELD THEORY
Citation Formats
Kreimer, Dirk. Anatomy of a gauge theory. United States: N. p., 2006.
Web. doi:10.1016/j.aop.2006.01.004.
Kreimer, Dirk. Anatomy of a gauge theory. United States. doi:10.1016/j.aop.2006.01.004.
Kreimer, Dirk. Fri .
"Anatomy of a gauge theory". United States.
doi:10.1016/j.aop.2006.01.004.
@article{osti_20845946,
title = {Anatomy of a gauge theory},
author = {Kreimer, Dirk},
abstractNote = {We exhibit the role of Hochschild cohomology in quantum field theory with particular emphasis on gauge theory and DysonSchwinger equations, the quantum equations of motion. These equations emerge from Hopf and Lie algebra theory and free quantum field theory only. In the course of our analysis, we exhibit an intimate relation between the SlavnovTaylor identities for the couplings and the existence of Hopf subalgebras defined on the sum of all graphs at a given loop order, surpassing the need to work on single diagrams.},
doi = {10.1016/j.aop.2006.01.004},
journal = {Annals of Physics (New York)},
number = 12,
volume = 321,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2006},
month = {Fri Dec 15 00:00:00 EST 2006}
}
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