A symmetric approach to the massive nonlinear sigma model

Ferrari, Ruggero

doi:10.1063/1.3640796

Title: A symmetric approach to the massive nonlinear sigma model

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Abstract

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.

Authors:

Ferrari, Ruggero ^[1]

Univ. degli Studi di Milano, Milano (Italy); INFN, Milano (Italy)

Publication Date:: Wed Sep 28 00:00:00 EDT 2011

Research Org.:: Massachusetts Inst. of Technology (MIT), 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)

OSTI Identifier:: 1076489

Grant/Contract Number:: FG02-05ER41360

Resource 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)

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

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                    Ferrari, Ruggero. A symmetric approach to the massive nonlinear sigma model.  United States: N. p., 2011. 
Web.  doi:10.1063/1.3640796.

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                    Ferrari, Ruggero. A symmetric approach to the massive nonlinear sigma model.  United States.  https://doi.org/10.1063/1.3640796

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                    Ferrari, Ruggero. Wed .  
"A symmetric approach to the massive nonlinear sigma model".  United States.  https://doi.org/10.1063/1.3640796.  https://www.osti.gov/servlets/purl/1076489.

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@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         = {Wed Sep 28 00:00:00 EDT 2011},

  month        = {Wed Sep 28 00:00:00 EDT 2011}

}

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