Symmetries in noncommutative field theories: Hopf versus Lie

DOI10.11606/ISSN.2316-9028.V4I1P121-133zbMATH Open1243.81098arXiv0711.4091OpenAlexW2963909760WikidataQ121769859 ScholiaQ121769859MaRDI QIDQ436480

D. V. Vassilevich

Publication date: 20 July 2012

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Abstract: I discuss motivations for introducing Hopf algebra symmetries in noncommutative field theories and briefly describe twisting of main symmetry transformations. New results include an extended list of twisted gauge invariants (which may help to overcome the problem of inconsistency of equations of motion) and a gauge-covariant twist operator (leading to a gauge-covariant star product).

Full work available at URL: https://arxiv.org/abs/0711.4091

zbMATH Keywords

gauge-covariant star productgauge-covariant twist operatorHopf algebra symmetries

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60)

Related Items (2)

HOPF-ALGEBRA DESCRIPTION OF NONCOMMUTATIVE-SPACE–TIME SYMMETRIES ⋮ A NOTE ON THE IMPLEMENTATION OF POINCARÉ SYMMETRY IN NONCOMMUTATIVE FIELD THEORY

Recommendations

• Space-time symmetry of noncommutative field theory 👍 👎
• Symmetries of field theories on the noncommutative plane 👍 👎
• Noncommutative field theory on rank one symmetric spaces 👍 👎
• Galilean symmetry in noncommutative field theory 👍 👎
• Symmetries of noncommutative scalar field theory 👍 👎
• A NOTE ON THE IMPLEMENTATION OF POINCARÉ SYMMETRY IN NONCOMMUTATIVE FIELD THEORY 👍 👎
• NONCOMMUTATIVITY FROM THE SYMPLECTIC POINT OF VIEW 👍 👎
• Noncommutativity and reparametrization symmetry 👍 👎
• HOPF-ALGEBRA DESCRIPTION OF NONCOMMUTATIVE-SPACE–TIME SYMMETRIES 👍 👎
• PERTURBATIVE SYMMETRIES ON NONCOMMUTATIVE SPACES 👍 👎

This page was built for publication: Symmetries in noncommutative field theories: Hopf versus Lie

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q436480)