A symmetric approach to the massive nonlinear sigma model
In the present study we extend to the massive case the procedure of divergences subtraction, previously introduced for the massless nonlinear sigma model (D = 4). Perturbative expansion in the number of loops is successfully constructed. The resulting theory depends on the Spontaneous Symmetry Breaking parameter v, on the mass m and on the radiative correction parameter Λ. Fermions are not considered in the present work. SU(2) Ⓧ SU(2) is the group used.
- Publication Date:
- Grant/Contract Number:
- FG02-05ER41360
- Type:
- Accepted Manuscript
- Journal Name:
- Journal of Mathematical Physics
- Additional Journal Information:
- Journal Volume: 52; Journal Issue: 9; Journal ID: ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Research Org:
- Massachusetts Institute of Technology, Cambridge, MA (United States); Univ. degli Studi di Milano, Milano (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Milano (Italy)
- Sponsoring Org:
- USDOE Office of Science (SC)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SU2 group; lattice fermion models; chiral symmetries; Gauge field theory; renormalization
- OSTI Identifier:
- 1076489
Ferrari, Ruggero. A symmetric approach to the massive nonlinear sigma model. United States: N. p.,
Web. doi:10.1063/1.3640796.
Ferrari, Ruggero. A symmetric approach to the massive nonlinear sigma model. United States. doi:10.1063/1.3640796.
Ferrari, Ruggero. 2011.
"A symmetric approach to the massive nonlinear sigma model". United States.
doi:10.1063/1.3640796. https://www.osti.gov/servlets/purl/1076489.
@article{osti_1076489,
title = {A symmetric approach to the massive nonlinear sigma model},
author = {Ferrari, Ruggero},
abstractNote = {In the present study we extend to the massive case the procedure of divergences subtraction, previously introduced for the massless nonlinear sigma model (D = 4). Perturbative expansion in the number of loops is successfully constructed. The resulting theory depends on the Spontaneous Symmetry Breaking parameter v, on the mass m and on the radiative correction parameter Λ. Fermions are not considered in the present work. SU(2) Ⓧ SU(2) is the group used.},
doi = {10.1063/1.3640796},
journal = {Journal of Mathematical Physics},
number = 9,
volume = 52,
place = {United States},
year = {2011},
month = {9}
}