Alternative auxiliary fields for chiral multiplets
Abstract
We study 3-form auxiliary field formulation for chiral multiplets in the Wess-Zumino model. The conventional auxiliary fields F and G are replaced by their Hodge duals K{sub {mu}}{sub {nu}}{sub {rho}}{sub {sigma}} and H{sub {mu}}{sub {nu}}{sub {rho}}{sub {sigma}} which are the field strengths of the 3-form potential auxiliary fields G{sub {mu}}{sub {nu}}{sub {rho}} and F{sub {mu}}{sub {nu}}{sub {rho}}. Even though duality transformations connect these two formulations, there exist certain differences from the conventional formulation. When boundary conditions are taken into account, the field equations in the 3-form formulation are equivalent to the conventional ones, while our Lagrangian is not. We also show that the new field strengths acquire generalized Chern-Simons terms. The O'Raifeartaigh mechanism works for spontaneous supersymmetry breaking also in the 3-form auxiliary field formulation via the boundary conditions on the 3-form auxiliary fields.
- Authors:
-
- Department of Physics and Astronomy, California State University, 1250 Bellflower Boulevard, Long Beach, California 90840 (United States)
- Publication Date:
- OSTI Identifier:
- 21316614
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. D, Particles Fields
- Additional Journal Information:
- Journal Volume: 80; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.80.127701; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; CHIRALITY; DUALITY; FIELD EQUATIONS; LAGRANGIAN FUNCTION; MULTIPLETS; POTENTIALS; QUANTUM FIELD THEORY; SIMULATION; SYMMETRY BREAKING; TRANSFORMATIONS
Citation Formats
Nishino, Hitoshi, and Rajpoot, Subhash. Alternative auxiliary fields for chiral multiplets. United States: N. p., 2009.
Web. doi:10.1103/PHYSREVD.80.127701.
Nishino, Hitoshi, & Rajpoot, Subhash. Alternative auxiliary fields for chiral multiplets. United States. https://doi.org/10.1103/PHYSREVD.80.127701
Nishino, Hitoshi, and Rajpoot, Subhash. 2009.
"Alternative auxiliary fields for chiral multiplets". United States. https://doi.org/10.1103/PHYSREVD.80.127701.
@article{osti_21316614,
title = {Alternative auxiliary fields for chiral multiplets},
author = {Nishino, Hitoshi and Rajpoot, Subhash},
abstractNote = {We study 3-form auxiliary field formulation for chiral multiplets in the Wess-Zumino model. The conventional auxiliary fields F and G are replaced by their Hodge duals K{sub {mu}}{sub {nu}}{sub {rho}}{sub {sigma}} and H{sub {mu}}{sub {nu}}{sub {rho}}{sub {sigma}} which are the field strengths of the 3-form potential auxiliary fields G{sub {mu}}{sub {nu}}{sub {rho}} and F{sub {mu}}{sub {nu}}{sub {rho}}. Even though duality transformations connect these two formulations, there exist certain differences from the conventional formulation. When boundary conditions are taken into account, the field equations in the 3-form formulation are equivalent to the conventional ones, while our Lagrangian is not. We also show that the new field strengths acquire generalized Chern-Simons terms. The O'Raifeartaigh mechanism works for spontaneous supersymmetry breaking also in the 3-form auxiliary field formulation via the boundary conditions on the 3-form auxiliary fields.},
doi = {10.1103/PHYSREVD.80.127701},
url = {https://www.osti.gov/biblio/21316614},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 80,
place = {United States},
year = {Tue Dec 15 00:00:00 EST 2009},
month = {Tue Dec 15 00:00:00 EST 2009}
}